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DTSTART;TZID=America/New_York:20230217T100000
DTEND;TZID=America/New_York:20230217T113000
DTSTAMP:20260629T163002
CREATED:20230802T164725Z
LAST-MODIFIED:20240813T161921Z
UID:10001168-1676628000-1676633400@cmsa.fas.harvard.edu
SUMMARY:Quantum Spin Lakes: NISQ-Era Spin Liquids from Non-Equilibrium Dynamics
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Rahul Sahay (Harvard) \nTitle: Quantum Spin Lakes: NISQ-Era Spin Liquids from Non-Equilibrium Dynamics \nAbstract: While many-body quantum systems can in principle host exotic quantum spin liquid (QSL) states\, realizing them as ground states in experiments can be prohibitively difficult. In this talk\, we show how non-equilibrium dynamics can provide a streamlined route toward creating QSLs. In particular\, we show how a simple Hamiltonian parameter sweep can dynamically project out condensed anyons from a family of initial product states (e.g. dynamically “un-Higgs”)\, yielding a QSL-like state. We christen such states “quantum spin lakes” which\, while not thermodynamically large QSLs\, enable their study in NISQ-era quantum simulators. Indeed\, we show that this mechanism sheds light on recent experimental and numerical observations of the dynamical state preparation of the ruby lattice spin liquid in Rydberg atom arrays. Time permitting\, we will discuss how our theory motivates a tree tensor network-based numerical tool—reliant on our theory—that quantitatively reproduces the experimental data two orders of magnitude faster than conventional brute-force simulation methods. Finally\, we will highlight that even spin liquid states that are unstable in equilibrium—namely\, 2 + 1D U(1) spin liquid states—can be robustly prepared by non-equilibrium dynamics. \n 
URL:https://cmsa.fas.harvard.edu/event/qm_21723/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.17.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230210T103000
DTEND;TZID=America/New_York:20230210T113000
DTSTAMP:20260629T163002
CREATED:20230802T164450Z
LAST-MODIFIED:20240216T083704Z
UID:10001167-1676025000-1676028600@cmsa.fas.harvard.edu
SUMMARY:Non-invertible Symmetry Enforced Gaplessness
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Ho Tat Lam (MIT) \nTitle: Non-invertible Symmetry Enforced Gaplessness \nAbstract: Quantum systems in 3+1-dimensions that are invariant under gauging a one-form symmetry enjoy novel non-invertible duality symmetries encoded by topological defects. These symmetries are renormalization group invariants which constrain infrared dynamics. We show that such non-invertible symmetries often forbid a symmetry-preserving vacuum state with a gapped spectrum\, leaving only two possibilities for the infrared dynamics: a gapless state or spontaneous breaking of the non-invertible symmetries. These non-invertible symmetries are realized in lattice gauge theories\, which serve to illustrate our results. \n 
URL:https://cmsa.fas.harvard.edu/event/qm_21023/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.10.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230203T103000
DTEND;TZID=America/New_York:20230203T113000
DTSTAMP:20260629T163002
CREATED:20230802T164259Z
LAST-MODIFIED:20240215T100905Z
UID:10001166-1675420200-1675423800@cmsa.fas.harvard.edu
SUMMARY:Fracton orders in hyperbolic space and its excitations with fractal mobility
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Han Yan (Rice U) \nTitle: Fracton orders in hyperbolic space and its excitations with fractal mobility \nAbstract: Unlike ordinary topological quantum phases\, fracton orders are intimately dependent on the underlying lattice geometry. In this work\, we study a generalization of the X-cube model\, on lattices embedded in a stack of hyperbolic planes. We demonstrate that for certain hyperbolic lattice tesselations\, this model hosts a new kind of subdimensional particle\, treeons\, which can only move on a fractal-shaped subset of the lattice. Such an excitation only appears on hyperbolic geometries; on flat spaces\, treeons become either a lineon or a planeon. Additionally\, we find intriguingly that for certain hyperbolic tessellations\, a fracton can be created by a membrane operator (as in the X-cube model) or by a fractal-shaped operator within the hyperbolic plane. Our work shows that there are still plenty of exotic behaviors from fracton order to be explored\, especially when the embedding geometry is curved. \nReference: H. Yan\, K. Slage\, A. H. Nevidomskyy\, arXiv:2211.15829 \n 
URL:https://cmsa.fas.harvard.edu/event/qm_2323/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.03.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230202T093000
DTEND;TZID=America/New_York:20230202T103000
DTSTAMP:20260629T163002
CREATED:20230817T182911Z
LAST-MODIFIED:20240118T092235Z
UID:10001252-1675330200-1675333800@cmsa.fas.harvard.edu
SUMMARY:Near extremal de Sitter black holes and JT gravity
DESCRIPTION:General Relativity Seminar \nSpeaker: Chiara Toldo (Harvard) \nTitle: Near extremal de Sitter black holes and JT gravity \nAbstract: In this talk I will explore the thermodynamic response near extremality of charged black holes in four-dimensional Einstein-Maxwell theory with a positive cosmological constant. The latter exhibit three different extremal limits\, dubbed cold\, Nariai and ultracold configurations\, with different near-horizon geometries. For each of these three cases I will analyze small deformations away from extremality\, and construct the effective two-dimensional theory\, obtained by dimensional reduction\, that captures these features. The ultracold case in particular shows an interesting interplay between the entropy variation and charge variation\, realizing a different symmetry breaking with respect to the other two near-extremal limits.
URL:https://cmsa.fas.harvard.edu/event/gr_2223/
LOCATION:Virtual
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-02.03.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230130T093000
DTEND;TZID=America/New_York:20230130T103000
DTSTAMP:20260629T163002
CREATED:20230802T163915Z
LAST-MODIFIED:20240215T101107Z
UID:10001165-1675071000-1675074600@cmsa.fas.harvard.edu
SUMMARY:Group Invariant States as Many-Body Scars
DESCRIPTION:Quantum Matter Seminar \nTitle: Group Invariant States as Many-Body Scars \nSpeaker: Igor R. Klebanov (Princeton University) \nAbstract: Quantum many-body scars have been an active area of research in Condensed Matter Physics for several years. In some many-body systems\, the Hilbert space breaks up into a large ergodic sector and a much smaller scar subspace. It has been suggested [K. Pakrouski et al.\, Phys. Rev. Lett. 125 (2020) 230602] that the two sectors may be distinguished by their transformation properties under a large group whose rank grows with the system size (this group is not a symmetry of the Hamiltonian). The scars are invariant under this group\, while all other states are not. We begin by reviewing some many-body systems where group singlet states have special properties: the matrix quantum mechanics and fermionic tensor models. We continue on to appropriately deformed versions of the SU(2) Hubbard model and show that the scar subsector is invariant under a large group\, which acts on the lattice sites. More generally\, we apply this idea to lattice systems with N sites that contain M Majorana fermions per site. The Hilbert space may be decomposed under the action of the SO(N)xSO(M) group\, and the scars are the SO(N) singlets. For any even M\, there are two families of scars. One of them\, which we call the eta-states\, is symmetric under the group O(N) that includes a reflection. The other\, the zeta-states\, has the SO(N) invariance only. For M=4\, where our construction reduces to a deformed SU(2) Hubbard chain with local interactions\, the former family are the N+1 eta-pairing states\, while the latter are the N+1 states of maximum spin. For M=6\, we exhibit explicit formulae for the scar states and calculate the bipartite entanglement entropy analytically. For large N\, it grows logarithmically with the region size. In general\, the energies of the scars within each family are not equidistant. For M>6 we also find that\, with local Hamiltonians\, the scars typically have certain degeneracies.  The latter part of the talk is based on the recent paper “Majorana Scars as Group Singlets” by Zimo Sun\, Fedor Popov\, Igor Klebanov and Kiryl Pakrouski\, arXiv:2212.11914 \n 
URL:https://cmsa.fas.harvard.edu/event/qm_13023/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-1.30.23-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230126T093000
DTEND;TZID=America/New_York:20230126T103000
DTSTAMP:20260629T163002
CREATED:20230817T182501Z
LAST-MODIFIED:20240215T102816Z
UID:10001251-1674725400-1674729000@cmsa.fas.harvard.edu
SUMMARY:Testing spacetime geometry with images of supermassive compact objects: Current status and the future
DESCRIPTION:General Relativity Seminar \nSpeaker: Prashant Kocherlakota (BHI) \nTitle: Testing spacetime geometry with images of supermassive compact objects: Current status and the future \nAbstract: Astrophysical black holes (BHs) are expected to be described by the Kerr solution of the Einstein equations. Several frameworks have recently been developed to parametrically deform the Kerr metric in significantly different ways\, to enable formulations of tests of the no-hair theorems. Testing the viability status of alternative models – such as non-Kerr BHs from general relativity\, BHs from alternative theories\, wormholes\, and other exotic objects – as descriptors of astrophysical objects has been of longstanding interest. The Event Horizon Telescope (EHT) recently imaged Sagittarius A* (Sgr A*)\, the supermassive compact object at the center of the Galaxy\, making such tests possible. In such tests\, the shadow critical curve (or simply shadow boundary)\, defined on the observer’s image plane\, has gained prominence as the observable of interest. We will discuss how the EHT is able to extract information regarding the shadow of Sgr A* and the status of associated tests of the spacetime geometry in the strong-field regime. Future imaging measurements expect to detect the so-called photon ring\, a strong-gravitational lensing feature that appears in the close vicinity of the critical curve\, which houses higher-order images of the emission source. Time permitting\, we will also discuss how these can be used to set up more stringent tests of the spacetime metric and gravity in the future. \n\n 
URL:https://cmsa.fas.harvard.edu/event/gr_12623/
LOCATION:Virtual
CATEGORIES:General Relativity Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230124T131500
DTEND;TZID=America/New_York:20230124T144500
DTSTAMP:20260629T163002
CREATED:20230802T163601Z
LAST-MODIFIED:20240110T053406Z
UID:10001164-1674566100-1674571500@cmsa.fas.harvard.edu
SUMMARY:Reflections on Parity Breaking
DESCRIPTION:Quantum Matter Seminar \nSpeakers: Jacob McNamara (Caltech) and Matthew Reece (Harvard) \nTitle: Reflections on Parity Breaking \nAbstract: One approach to the Strong CP Problem (known as Nelson-Barr models) is to assume that parity is a gauge symmetry\, which is spontaneously broken in the world around us. In this talk\, we will describe the formal meaning of parity as a gauge symmetry\, and argue that the domain walls formed from spontaneous parity breaking are exactly stable. This stability can be understood as the result of an unusual sort of conserved charge\, which has features in common with both gauge charges and global charges. We will explain how these charges are compatible with the expected absence of global symmetries in quantum gravity\, as well as their relationship with the Swampland Cobordism Conjecture. \n 
URL:https://cmsa.fas.harvard.edu/event/qm_12423/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-1.24.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221220T090000
DTEND;TZID=America/New_York:20221220T103000
DTSTAMP:20260629T163002
CREATED:20240215T105412Z
LAST-MODIFIED:20240819T150130Z
UID:10002746-1671526800-1671532200@cmsa.fas.harvard.edu
SUMMARY:Phase Fluctuations in Two-Dimensional Superconductors and Pseudogap Phenomenon
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Yang Qi (Fudan) \nTitle: Phase Fluctuations in Two-Dimensional Superconductors and Pseudogap Phenomenon \nAbstract: We study the phase fluctuations in the normal state of a general two-dimensional (2d) superconducting system with s-wave pairing. The effect of phase fluctuations of the pairing fields can be dealt with perturbatively using disorder averaging\, after we treat the local superconducting order parameter as a static disordered background. It is then confirmed that the phase fluctuations above the 2d Berenzinskii-Kosterlitz-Thouless (BKT) transition give birth to the pseudogap phenomenon\, leading to a significant broadening of the single-particle spectral functions. Quantitatively\, the broadening of the spectral weights at the BCS gap is characterized by the ratio of the superconducting coherence length and the spatial correlation length of the superconducting pairing order parameter. Our results are tested on the attractive-U fermion Hubbard model on the square lattice\, using unbiased determinant quantum Monte Carlo method and stochastic analytic continuation. We also apply our method to 2d superconductors with d-wave pairing and observe that the phase fluctuations may lead to Fermi-arc phenomenon above the BKT transition.
URL:https://cmsa.fas.harvard.edu/event/qm_122022/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-Seminar-12.20.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221212T090000
DTEND;TZID=America/New_York:20221212T103000
DTSTAMP:20260629T163002
CREATED:20240215T095743Z
LAST-MODIFIED:20240819T150302Z
UID:10002733-1670835600-1670841000@cmsa.fas.harvard.edu
SUMMARY:Non-Invertible Symmetries from Holography and Branes
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Federico Bonetti (Oxford) \nTitle: Non-Invertible Symmetries from Holography and Branes \nAbstract:  The notion of global symmetry in quantum field theory (QFT) has witnessed dramatic generalizations in the past few years. One of the most exciting developments has been the identification of 4d QFTs possessing non-invertible symmetries\, i.e. global symmetries whose generators exhibit fusion rules that are not group-like. In this talk\, I will discuss realizations of non-invertible symmetries in string theory and holography. As a concrete case study\, I will consider the Klebanov-Strassler setup for holographic confinement in Type IIB string theory. The global symmetries of the holographic 4d QFT (both invertible and non-invertible) can be accessed by studying the topological couplings of the low-energy effective action of the dual 5d supergravity theory. Moreover\, non-invertible symmetry defects can be realized in terms of D-branes. The D-brane picture captures non-trivial aspects of the fusion of non-invertible symmetry defects\, and of their action on extended operators of the 4d QFT.
URL:https://cmsa.fas.harvard.edu/event/qm_121222/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-12.12.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221208T093000
DTEND;TZID=America/New_York:20221208T103000
DTSTAMP:20260629T163002
CREATED:20230817T182138Z
LAST-MODIFIED:20240228T111217Z
UID:10001250-1670491800-1670495400@cmsa.fas.harvard.edu
SUMMARY:A new proof for the nonlinear stability of slowly-rotating Kerr-de Sitter
DESCRIPTION:General Relativity Seminar \n\nSpeaker: Allen Fang (Princeton) \nTitle: A new proof for the nonlinear stability of slowly-rotating Kerr-de Sitter \nAbstract: The nonlinear stability of the slowly-rotating Kerr-de Sitter family was first proven by Hintz and Vasy in 2016 using microlocal techniques. In my talk\, I will present a novel proof of the nonlinear stability of slowly-rotating Kerr-de Sitter spacetimes that avoids frequency-space techniques outside of a neighborhood of the trapped set. The proof uses vector field techniques to uncover a spectral gap corresponding to exponential decay at the level of the linearized equation. The exponential decay of solutions to the linearized problem is then used in a bootstrap proof to conclude nonlinear stability.
URL:https://cmsa.fas.harvard.edu/event/gr_12822/
LOCATION:Virtual
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-12.08.22-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221206T090000
DTEND;TZID=America/New_York:20221206T103000
DTSTAMP:20260629T163002
CREATED:20240215T094810Z
LAST-MODIFIED:20240819T150002Z
UID:10002729-1670317200-1670322600@cmsa.fas.harvard.edu
SUMMARY:Neutrino Masses from Generalized Symmetry Breaking
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Sungwoo Hong (U Chicago & KAIST) \nTitle: Neutrino Masses from Generalized Symmetry Breaking \nAbstract: We explore generalized global symmetries in theories of physics beyond the Standard Model. Theories of Z′ bosons generically contain ‘non-invertible’ chiral symmetries\, whose presence indicates a natural paradigm to break this symmetry by an exponentially small amount in an ultraviolet completion. For example\, in models of gauged lepton family difference such as the phenomenologically well-motivated U(1)Lμ−Lτ\, there is a non-invertible lepton number symmetry which protects neutrino masses. We embed these theories in gauged non-Abelian horizontal lepton symmetries\, e.g. U(1)Lμ−Lτ⊂SU(3)H\, where the generalized symmetries are broken nonperturbatively by the existence of lepton family magnetic monopoles. In such theories\, either Majorana or Dirac neutrino masses may be generated through quantum gauge theory effects from the charged lepton Yukawas e.g. yν∼yτexp(−Sinst). These theories require no bevy of new fields nor ad hoc additional global symmetries\, but are instead simple\, natural\, and predictive: the discovery of a lepton family Z′ at low energies will reveal the scale at which Lμ−Lτ emerges from a larger gauge symmetry. \n 
URL:https://cmsa.fas.harvard.edu/event/qm_12622/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-Seminar-12.06.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221205T090000
DTEND;TZID=America/New_York:20221205T103000
DTSTAMP:20260629T163002
CREATED:20240215T100106Z
LAST-MODIFIED:20240819T150452Z
UID:10002734-1670230800-1670236200@cmsa.fas.harvard.edu
SUMMARY:Exact Many-Body Ground States from Decomposition of Ideal Higher Chern Bands: Applications to Chirally Twisted Graphene Multilayers
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Junkai Dong (Harvard University) \nTitle: Exact Many-Body Ground States from Decomposition of Ideal Higher Chern Bands: Applications to Chirally Twisted Graphene Multilayers \nAbstract: Motivated by the higher Chern bands of twisted graphene multilayers\, we consider flat bands with arbitrary Chern number C with ideal quantum geometry. While C>1 bands differ from Landau levels\, we show that these bands host exact fractional Chern insulator (FCI) ground states for short range interactions. We show how to decompose ideal higher Chern bands into separate ideal bands with Chern number 1 that are intertwined through translation and rotation symmetry. The decomposed bands admit an SU(C) action that combines real space and momentum space translations. Remarkably\, they also allow for analytic construction of exact many-body ground states\, such as generalized quantum Hall ferromagnets and FCIs\, including flavor-singlet Halperin states and Laughlin ferromagnets in the limit of short-range interactions. In this limit\, the SU(C) action is promoted to a symmetry on the ground state subspace. While flavor singlet states are translation symmetric\, the flavor ferromagnets correspond to translation broken states and admit charged skyrmion excitations corresponding to a spatially varying density wave pattern. We confirm our analytic predictions with numerical simulations of ideal bands of twisted chiral multilayers of graphene\, and discuss consequences for experimentally accessible systems such as monolayer graphene twisted relative to a Bernal bilayer. \n 
URL:https://cmsa.fas.harvard.edu/event/qm_12522/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-Seminar-12.5.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221122T093000
DTEND;TZID=America/New_York:20221122T110000
DTSTAMP:20260629T163002
CREATED:20240215T100358Z
LAST-MODIFIED:20240819T145840Z
UID:10002736-1669109400-1669114800@cmsa.fas.harvard.edu
SUMMARY:3D gravity and gravitational entanglement entropy
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Gabriel Wong (Harvard CMSA) \nTitle: 3D gravity and gravitational entanglement entropy \nAbstract: Recent progress in AdS/CFT has provided a good understanding of how the bulk spacetime is encoded in the entanglement structure of the boundary CFT. However\, little is known about how spacetime emerges directly from the bulk quantum theory. We address this question in an effective 3d quantum theory of pure gravity\, which describes the high temperature regime of a holographic CFT.  This theory can be viewed as a $q$-deformation and dimensional uplift of JT gravity. Using this model\, we show that the Bekenstein-Hawking entropy of a two-sided black hole equals the bulk entanglement entropy of gravitational edge modes. These edge modes transform under a quantum group\, which defines the data associated to an extended topological quantum field theory. Our calculation suggests an effective description of bulk microstates in terms of collective\, anyonic degrees of freedom whose entanglement leads to the emergence of the bulk spacetime. Finally\, we give a proposal for obtaining the Ryu Takayanagi formula using the same quantum group edge modes. \n 
URL:https://cmsa.fas.harvard.edu/event/qm_112222/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-Seminar-11.22.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221110T093000
DTEND;TZID=America/New_York:20221110T103000
DTSTAMP:20260629T163002
CREATED:20230817T181337Z
LAST-MODIFIED:20240118T090553Z
UID:10001248-1668072600-1668076200@cmsa.fas.harvard.edu
SUMMARY:Schwarzschild-like Topological Solitons in Gravity
DESCRIPTION:General Relativity Seminar \n\nSpeaker: Pierre Heidmann (Johns Hopkins) \nTitle: Schwarzschild-like Topological Solitons in Gravity \nAbstract: We present large classes of non-extremal solitons in gravity that are asymptotic to four-dimensional Minkowski spacetime plus extra compact dimensions. They correspond to smooth horizonless geometries induced by topology in spacetime and supported by electromagnetic flux\, which characterize coherent states of quantum gravity. We discuss a new approach to deal with Einstein-Maxwell equations in more than four dimensions\, such that they decompose into a set of Ernst equations. We generate the solitons by applying different techniques associated with the Ernst formalism. We focus on solitons with zero net charge yet supported by flux\, and compare them to Schwarzschild black holes. These are also ultra-compact geometries with very high redshift but differ in many aspects. At the end of the talk\, we discuss the stability properties of the solitons and their gravitational signatures.
URL:https://cmsa.fas.harvard.edu/event/gr_111022/
LOCATION:Virtual
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-11.10.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221108T113000
DTEND;TZID=America/New_York:20221108T130000
DTSTAMP:20260629T163002
CREATED:20240214T113153Z
LAST-MODIFIED:20240229T100241Z
UID:10002699-1667907000-1667912400@cmsa.fas.harvard.edu
SUMMARY:Topological symmetry in field theory
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Daniel S. Freed (U Texas) \nTitle: Topological symmetry in field theory \nAbstract: Recently there has been lots of activity surrounding generalized notions of symmetry in quantum field theory\, including “categorical symmetries\,” “higher symmetries\,” “noninvertible symmetries\,” etc. Inspired by definitions of abstract (finite) groups and algebras and their linear actions\, we introduce a framework for these symmetries in field theory and a calculus of topological defects based on techniques in topological field theory. This is joint work with Constantin Teleman and Greg Moore. \n 
URL:https://cmsa.fas.harvard.edu/event/qm_11822/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-11.08.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221101T090000
DTEND;TZID=America/New_York:20221101T103000
DTSTAMP:20260629T163002
CREATED:20240214T113716Z
LAST-MODIFIED:20240229T100642Z
UID:10002703-1667293200-1667298600@cmsa.fas.harvard.edu
SUMMARY:Kardar-Parisi-Zhang dynamics in integrable quantum magnets
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Francisco Machado  (Berkeley/Harvard) \nTitle: Kardar-Parisi-Zhang dynamics in integrable quantum magnets \nAbstract: Although the equations of motion that govern quantum mechanics are well-known\, understanding the emergent macroscopic behavior that arises from a particular set of microscopic interactions remains remarkably challenging. One particularly important behavior is that of hydrodynamical transport; when a quantum system has a conserved quantity (i.e. total spin)\, the late-time\, coarse-grained dynamics of the conserved charge is expected to follow a simple\, classical hydrodynamical description. However the nature and properties of this hydrodynamical description can depend on many details of the underlying interactions. For example\, the presence of additional dynamical constraints can fundamentally alter the propagation of the conserved quantity and induce slower-than-diffusion propagation. At the same time\, the presence of an extensive number of conserved quantities in the form of integrability\, can imbue the system with stable quasi-particles that propagate ballistically through the system. \nIn this talk\, I will discuss another possibility that arises from the interplay of integrability and symmetry; in integrable one dimensional quantum magnets with complex symmetries\, spin transport is neither ballistic nor diffusive\, but rather superdiffusive. Using a novel method for the simulation of quantum dynamics (termed Density Matrix Truncation)\, I will present a detailed analysis of spin transport in a variety of integrable quantum magnets with various symmetries. Crucially\, our analysis is not restricted to capturing the dynamical exponent of the transport dynamics and enables us to fully characterize its universality class: for all superdiffusive models\, we find that transport falls under the celebrated Kardar-Parisi-Zhang (KPZ) universality class. \nFinally\, I will discuss how modern atomic\, molecular and optical platforms provide an important bridge to connect the microscopic interactions to the resulting hydrodynamical transport dynamics. To this end\, I will present recent experimental results\, where this KPZ universal behavior was observed using atoms confined to an optical lattice. \n[1] Universal Kardar-Parisi-Zhang dynamics in integrable quantum systems\nB Ye†\, FM*\, J Kemp*\, RB Hutson\, NY Yao\n(PRL in press) – arXiv:2205.02853 \n[2] Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion\nD Wei\, A Rubio-Abadal\, B Ye\, FM\, J Kemp\, K Srakaew\, S Hollerith\, J Rui\, S Gopalakrishnan\, NY Yao\, I Bloch\, J Zeiher\nScience (2022) — arXiv:2107.00038 \n 
URL:https://cmsa.fas.harvard.edu/event/qm_11122/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Quantum-Matter-in-Mathematics-and-Physics-11.01.22_Page_1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221027T103000
DTEND;TZID=America/New_York:20221027T113000
DTSTAMP:20260629T163002
CREATED:20230817T180439Z
LAST-MODIFIED:20240118T090238Z
UID:10001246-1666866600-1666870200@cmsa.fas.harvard.edu
SUMMARY:Gravitational Wave\, Angular Momentum\, and Supertranslation Ambiguity
DESCRIPTION:General Relativity Seminar \n\nSpeaker: Naqing Xie (Fudan University) \nTitle: Gravitational Wave\, Angular Momentum\, and Supertranslation Ambiguity\n\nAbstract: The supertranslation ambiguity of angular momentum is a long-standing and conceptually important issue in general relativity. Recently\, there appeared the first definition of angular momentum at null infinity that is supertranslation invariant. However\, in the compact binary coalescence community\, supertranslation ambiguity is often ignored. We have shown that\, in the linearised theory of gravitational wave\, the new angular momentum coincides with the classical definition at the quadrupole level. This talk is based on a recent joint work with Xiaokai He and Xiaoning Wu.
URL:https://cmsa.fas.harvard.edu/event/gr_102722/
LOCATION:Virtual
CATEGORIES:General Relativity Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221025T090000
DTEND;TZID=America/New_York:20221025T103000
DTSTAMP:20260629T163002
CREATED:20240215T102846Z
LAST-MODIFIED:20240229T092911Z
UID:10002741-1666688400-1666693800@cmsa.fas.harvard.edu
SUMMARY:Unorientable Quantum Field Theories: From crosscaps to holography
DESCRIPTION:Quantum Matter Seminar \nSpeaker: João Caetano (CERN) \nTitle: Unorientable Quantum Field Theories: From crosscaps to holography \nAbstract: In two dimensions\, one can study quantum field theories on unorientable manifolds by introducing crosscaps. This defines a class of states called crosscap states which share a few similarities with the notion of boundary states. In this talk\, I will show that integrable theories remain integrable in the presence of crosscaps\, and this allows to exactly determine the crosscap state. \n\n\nIn four dimensions\, the analog is to place the quantum field theory on the real projective space\, the simplest unorientable 4-manifold. I will show how to do this in the example of N=4 Supersymmetric Yang-Mills\, discuss its holographic description and present a new solvable setup of AdS/CFT.
URL:https://cmsa.fas.harvard.edu/event/qm_102522/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-Seminar-10.25.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221024T090000
DTEND;TZID=America/New_York:20221024T103000
DTSTAMP:20260629T163002
CREATED:20240214T114116Z
LAST-MODIFIED:20240229T111301Z
UID:10002706-1666602000-1666607400@cmsa.fas.harvard.edu
SUMMARY:Insulating BECs and other surprises in dipole-conserving systems
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Ethan Lake (MIT) \nTitle: Insulating BECs and other surprises in dipole-conserving systems \nAbstract: I will discuss recent work on bosonic models whose dynamics conserves both total charge and total dipole moment\, a situation which can be engineered in strongly tilted optical lattices. Related models have received significant attention recently for their interesting out-of-equilibrium dynamics\, but analytic and numeric studies reveal that they also possess rather unusual ground states. I will focus in particular on a dipole-conserving variant of the Bose-Hubbard model\, which realizes an unusual phase of matter that possesses a Bose-Einstein condensate\, but which is nevertheless insulating\, and has zero superfluid weight. Time permitting\, I will also describe the physics of a regime in which these models spontaneously fracture into an exotic type of glassy state. \n 
URL:https://cmsa.fas.harvard.edu/event/qm_102422/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Quantum-Matter-in-Mathematics-and-Physics-10.24.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221018T090000
DTEND;TZID=America/New_York:20221018T103000
DTSTAMP:20260629T163002
CREATED:20240215T104318Z
LAST-MODIFIED:20240229T093815Z
UID:10002744-1666083600-1666089000@cmsa.fas.harvard.edu
SUMMARY:On the six-dimensional origin of non-invertible symmetries
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Michele Del Zotto (Uppsala University) \nTitle: On the six-dimensional origin of non-invertible symmetries \nAbstract: I will present a review about recent progress in charting non-invertible symmetries for four-dimensional quantum field theories that have a six-dimensional origin. These include in particular N=4 supersymmetric Yang-Mills theories\, and also a large class of N=2 supersymmetric theories which are conformal and do not have a conventional Lagrangian description (the so-called theories of “class S”). Among the main results\, I will explain criteria for identifying examples of systems with intrinsic and non-intrinsic non-invertible symmetries\, as well as explore their higher dimensional origin. This seminar is based on joint works with Vladimir Bashmakov\, Azeem Hasan\, and Justin Kaidi. \n 
URL:https://cmsa.fas.harvard.edu/event/qm_101822/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-Seminar-10.18.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221017T090000
DTEND;TZID=America/New_York:20221017T103000
DTSTAMP:20260629T163002
CREATED:20240215T104548Z
LAST-MODIFIED:20240229T101247Z
UID:10002745-1665997200-1666002600@cmsa.fas.harvard.edu
SUMMARY:Topological Wick Rotation and Holographic duality
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Liang Kong (Sustech) \nTitle: Topological Wick Rotation and Holographic duality \nAbstract: I will explain a new type of holographic dualities between\nn+1D topological orders with a chosen boundary condition and nD\n(potentially gapless) quantum liquids. It is based on the idea of\ntopological Wick rotation\, a notion which was first used in\narXiv:1705.01087 and was named\, emphasized and generalized later in\narXiv:1905.04924. Examples of these holographic dualities include the\nduality between 2+1D toric code model and 1+1D Ising chain and its\nfinite-group generalizations (independently discovered by many\nothers); those between 2+1D topological orders and 1+1D rational\nconformal field theories; and those between n+1D finite gauge theories\nwith a gapped boundary and nD gapped quantum liquids. I will also\nbriefly discuss some generalizations of this holographic duality and\nits relation to AdS/CFT duality.
URL:https://cmsa.fas.harvard.edu/event/qm_101722/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-Seminar-10.17.2022.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221013T103000
DTEND;TZID=America/New_York:20221013T233000
DTSTAMP:20260629T163002
CREATED:20240215T091921Z
LAST-MODIFIED:20240229T092506Z
UID:10002712-1665657000-1665703800@cmsa.fas.harvard.edu
SUMMARY:Strong Cosmic Censorship
DESCRIPTION:General Relativity Seminar \n\nSpeaker: Professor Oscar Dias (University of Southampton) \n\nTitle: Strong Cosmic Censorship \nAbstract: Generically\, strong cosmic censorship (SCC) is the statement that physics within general relativity should be predicted from initial data prescribed on a Cauchy hypersurface. In this talk I will review how fine-tuned versions of SCC have been formulated and evolved along the last decades up to the point where we believe that Christodoulou’s version is true in asymptotically flat spacetimes. However\, I will also describe that in recent years it was found that this is no longer necessarily true for some other backgrounds\, namely in some de Sitter (with a positive cosmological constant) spacetimes or even in rotating BTZ black holes in 3-dimensional Anti-de Sitter spacetime. Finally\, I will discuss some possibilities (quantum effects\, non-smooth initial data\,…) that might restore SCC in those backgrounds where the standard formulation of the conjecture is violated.
URL:https://cmsa.fas.harvard.edu/event/gr_101322/
LOCATION:Virtual
CATEGORIES:General Relativity Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221004T093000
DTEND;TZID=America/New_York:20221004T110000
DTSTAMP:20260629T163002
CREATED:20240216T090303Z
LAST-MODIFIED:20240813T162619Z
UID:10002752-1664875800-1664881200@cmsa.fas.harvard.edu
SUMMARY:Holomorphic Twists and Confinement in N=1 SYM
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Justin Kulp (Perimeter Institute) \nTitle: Holomorphic Twists and Confinement in N=1 SYM \nAbstract: Supersymmetric QFT’s are of long-standing interest for their high degree of solvability\, phenomenological implications\, and rich connections to mathematics. In my talk\, I will describe how the holomorphic twist isolates the protected quantities which give SUSY QFTs their potency by restricting to the cohomology of one supercharge. I will briefly introduce infinite dimensional symmetry algebras\, generalizing Virasoro and Kac-Moody symmetries\, which emerge. Finally\, I will explain a potential novel UV manifestation of confinement\, dubbed “holomorphic confinement\,” in the example of pure SU(N) super Yang-Mills. Based on arXiv:2207.14321 and 2 forthcoming works with Kasia Budzik\, Davide Gaiotto\, Brian Williams\, Jingxiang Wu\, and Matthew Yu.
URL:https://cmsa.fas.harvard.edu/event/qm_tba/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-Seminar-10.04.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220929T103000
DTEND;TZID=America/New_York:20220929T113000
DTSTAMP:20260629T163002
CREATED:20240216T091125Z
LAST-MODIFIED:20240229T111436Z
UID:10002755-1664447400-1664451000@cmsa.fas.harvard.edu
SUMMARY:General-relativistic viscous fluids
DESCRIPTION:General Relativity Seminar \nSpeaker: Marcelo Disconzi\, Vanderbilt University \nTitle: General–relativistic viscous fluids\n\nAbstract: The discovery of the quark-gluon plasma that forms in heavy-ion collision experiments provides a unique opportunity to study the properties of matter under extreme conditions\, as the quark-gluon plasma is the hottest\, smallest\, and densest fluid known to humanity. Studying the quark-gluon plasma also provides a window into the earliest moments of the universe\, since microseconds after the Big Bang the universe was filled with matter in the form of the quark-gluon plasma. For more than two decades\, the community has intensely studied the quark-gluon plasma with the help of a rich interaction between experiments\, theory\, phenomenology\, and numerical simulations. From these investigations\, a coherent picture has emerged\, indicating that the quark-gluon plasma behaves essentially like a relativistic liquid with viscosity. More recently\, state-of-the-art numerical relativity simulations strongly suggested that viscous and dissipative effects can also have non-negligible effects on gravitational waves produced by binary neutron star mergers. But despite the importance of viscous effects for the study of such systems\, a robust and comprehensive theory of relativistic fluids with viscosity is still lacking. This is due\, in part\, to difficulties to preserve causality upon the inclusion of viscous and dissipative effects into theories of relativistic fluids. In this talk\, we will survey the history of the problem and report on a new approach to relativistic viscous fluids that addresses these issues.
URL:https://cmsa.fas.harvard.edu/event/general-relativistic-viscous-fluids/
LOCATION:Virtual
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-09.29.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220926T090000
DTEND;TZID=America/New_York:20220926T103000
DTSTAMP:20260629T163002
CREATED:20240216T113233Z
LAST-MODIFIED:20240229T110730Z
UID:10002766-1664182800-1664188200@cmsa.fas.harvard.edu
SUMMARY:Candidates for Non-Supersymmetric Dualities
DESCRIPTION:Quantum Matter in Mathematics and Physics \nSpeaker: Avner Karasik (University of Cambridge\, UK)\nTitle: Candidates for Non-Supersymmetric Dualities \nAbstract: In the talk I will discuss the possibility and the obstructions of finding non-supersymmetric dualities for 4d gauge theories. I will review consistency conditions based on Weingarten inequalities\, anomalies and large N\, and clarify some subtle points and misconceptions about them. Later I will go over some old and new examples of candidates for non-supersymmetric dualities. The will be based on 2208.07842 \n 
URL:https://cmsa.fas.harvard.edu/event/non-invertible-symmetries-in-nature-2/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-Seminar-09.26.22.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220826T090000
DTEND;TZID=America/New_York:20220826T130000
DTSTAMP:20260629T163002
CREATED:20230705T044827Z
LAST-MODIFIED:20250328T145239Z
UID:10000058-1661504400-1661518800@cmsa.fas.harvard.edu
SUMMARY:Big Data Conference 2022
DESCRIPTION:On August 26\, 2022 the CMSA hosted our eighth annual Conference on Big Data. The Big Data Conference features speakers from the Harvard community as well as scholars from across the globe\, with talks focusing on computer science\, statistics\, math and physics\, and economics. \nThe 2022 Big Data Conference took place virtually on Zoom. \nOrganizers: \n\nScott Duke Kominers\, MBA Class of 1960 Associate Professor\, Harvard Business\nHorng-Tzer Yau\, Professor of Mathematics\, Harvard University\nSergiy Verstyuk\, CMSA\, Harvard University\n\nSpeakers: \n\nXiaohong Chen\, Yale\nMiles Cranmer\, Princeton\nJessica Jeffers\, University of Chicago\nDan Roberts\, MIT\n\nSchedule \n\n\n\n\n9:00 am\nConference Organizers\nIntroduction and Welcome\n\n\n9:10 am – 9:55 am\nXiaohong Chen\nTitle: On ANN optimal estimation and inference for policy functionals of nonparametric conditional moment restrictions \nAbstract:  Many causal/policy parameters of interest are expectation functionals of unknown infinite-dimensional structural functions identified via conditional moment restrictions. Artificial Neural Networks (ANNs) can be viewed as nonlinear sieves that can approximate complex functions of high dimensional covariates more effectively than linear sieves. In this talk we present ANN optimal estimation and inference on  policy functionals\, such as average elasticities or value functions\, of unknown structural functions of endogenous covariates. We provide ANN efficient estimation and optimal t based confidence interval for regular policy functionals such as average derivatives in nonparametric instrumental variables regressions. We also present ANN quasi likelihood ratio based inference for possibly irregular policy functionals of general nonparametric conditional moment restrictions (such as quantile instrumental variables models or Bellman equations) for time series data. We conduct intensive Monte Carlo studies to investigate computational issues with ANN based optimal estimation and inference in economic structural models with endogeneity. For economic data sets that do not have very high signal to noise ratios\, there are current gaps between theoretical advantage of ANN approximation theory vs inferential performance in finite samples.\nSome of the results are applied to efficient estimation and optimal inference for average price elasticity in consumer demand and BLP type demand. \nThe talk is based on two co-authored papers:\n(1) Efficient Estimation of Average Derivatives in NPIV Models: Simulation Comparisons of Neural Network Estimators\n(Authors: Jiafeng Chen\, Xiaohong Chen and Elie Tamer)\nhttps://arxiv.org/abs/2110.06763 \n(2) Neural network Inference on Nonparametric conditional moment restrictions with weakly dependent data\n(Authors: Xiaohong Chen\, Yuan Liao and Weichen Wang). \nView/Download Lecture Slides (pdf)\n\n\n10:00 am – 10:45 am\nJessica Jeffers\nTitle: Labor Reactions to Credit Deterioration: Evidence from LinkedIn Activity \nAbstract: We analyze worker reactions to their firms’ credit deterioration. Using weekly networking activity on LinkedIn\, we show workers initiate more connections immediately following a negative credit event\, even at firms far from bankruptcy. Our results suggest that workers are driven by concerns about both unemployment and future prospects at their firm. Heightened networking activity is associated with contemporaneous and future departures\, especially at financially healthy firms. Other negative events like missed earnings and equity downgrades do not trigger similar reactions. Overall\, our results indicate that the build-up of connections triggered by credit deterioration represents a source of fragility for firms.\n\n\n10:50 am – 11:35 am\nMiles Cranmer\nTitle: Interpretable Machine Learning for Physics \nAbstract: Would Kepler have discovered his laws if machine learning had been around in 1609? Or would he have been satisfied with the accuracy of some black box regression model\, leaving Newton without the inspiration to discover the law of gravitation? In this talk I will explore the compatibility of industry-oriented machine learning algorithms with discovery in the natural sciences. I will describe recent approaches developed with collaborators for addressing this\, based on a strategy of “translating” neural networks into symbolic models via evolutionary algorithms. I will discuss the inner workings of the open-source symbolic regression library PySR (github.com/MilesCranmer/PySR)\, which forms a central part of this interpretable learning toolkit. Finally\, I will present examples of how these methods have been used in the past two years in scientific discovery\, and outline some current efforts. \nView/Download Lecture Slides (pdf) \n\n\n11:40 am – 12:25 pm\nDan Roberts\nTitle: A Statistical Model of Neural Scaling Laws \nAbstract: Large language models of a huge number of parameters and trained on near internet-sized number of tokens have been empirically shown to obey “neural scaling laws” for which their performance behaves predictably as a power law in either parameters or dataset size until bottlenecked by the other resource. To understand this better\, we first identify the necessary properties allowing such scaling laws to arise and then propose a statistical model — a joint generative data model and random feature model — that captures this neural scaling phenomenology. By solving this model using tools from random matrix theory\, we gain insight into (i) the statistical structure of datasets and tasks that lead to scaling laws (ii) how nonlinear feature maps\, i.e the role played by the deep neural network\, enable scaling laws when trained on these datasets\, and (iii) how such scaling laws can break down\, and what their behavior is when they do. A key feature is the manner in which the power laws that occur in the statistics of natural datasets are translated into power law scalings of the test loss\, and how the finite extent of such power laws leads to both bottlenecks and breakdowns. \nView/Download Lecture Slides (pdf) \n \n\n\n12:30 pm\nConference Organizers\nClosing Remarks\n\n\n\n\n  \nInformation about last year’s conference can be found here.
URL:https://cmsa.fas.harvard.edu/event/big-data-conference-2022/
LOCATION:Virtual
CATEGORIES:Big Data Conference,Conference,Event
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Big-Data-2022_web.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220816T100000
DTEND;TZID=America/New_York:20220816T113000
DTSTAMP:20260629T163002
CREATED:20240215T100758Z
LAST-MODIFIED:20240229T092227Z
UID:10002738-1660644000-1660649400@cmsa.fas.harvard.edu
SUMMARY:Transport in large-N critical Fermi surface
DESCRIPTION:Speaker: Haoyu Guo (Harvard) \nTitle: Transport in large-N critical Fermi surface\n\nAbstract: A Fermi surface coupled to a scalar field can be described in a 1/N expansion by choosing the fermion-scalar Yukawa coupling to be random in the N-dimensional flavor space\, but invariant under translations. We compute the conductivity of such a theory in two spatial dimensions for a critical scalar. We find a Drude contribution\, and show that a previously proposed \omega^{-2/3} contribution to the optical conductivity at frequency \omega has vanishing co-efficient. We also describe the influence of impurity scattering of the fermions\, and find that while the self energy resembles a marginal Fermi liquid\, the resistivity behaves like a Fermi liquid. Arxiv references: 2203.04990\, 2207.08841
URL:https://cmsa.fas.harvard.edu/event/qm_81622/
LOCATION:Virtual
CATEGORIES:Quantum Matter
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220810T090000
DTEND;TZID=America/New_York:20220810T100000
DTSTAMP:20260629T163002
CREATED:20240215T095253Z
LAST-MODIFIED:20240229T090234Z
UID:10002731-1660122000-1660125600@cmsa.fas.harvard.edu
SUMMARY:Recent Advances on Maximum Flows and Minimum-Cost Flows
DESCRIPTION:Interdisciplinary Science Seminar\n\n\n\n\n\n\nSpeaker: Yang P. Liu\n\n\nTitle: Recent Advances on Maximum Flows and Minimum-Cost Flows\n\nAbstract: We survey recent advances on computing flows in graphs\, culminating in an almost linear time algorithm for solving minimum-cost flow and several other problems to high accuracy on directed graphs. Along the way\, we will discuss intuitions from linear programming\, graph theory\, and data structures that influence these works\, and the resulting natural open problems. \nBio: Yang P. Liu is a final-year graduate student at Stanford University. He is broadly interested in the efficient design of algorithms\, particularly flows\, convex optimization\, and online algorithms. For his work\, he has been awarded STOC and ITCS best student papers.
URL:https://cmsa.fas.harvard.edu/event/iss_81022/
LOCATION:Virtual
CATEGORIES:Interdisciplinary Science Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220707T103000
DTEND;TZID=America/New_York:20220707T123000
DTSTAMP:20260629T163002
CREATED:20240215T100432Z
LAST-MODIFIED:20240229T091815Z
UID:10002737-1657189800-1657197000@cmsa.fas.harvard.edu
SUMMARY:Anomalies\, dynamics and phases in strongly-coupled chiral gauge theories: Recent developments
DESCRIPTION:Speaker: Kenichi Konishi (UNIPI.IT) \nTitle: Anomalies\, dynamics and phases in strongly-coupled chiral gauge theories: Recent developments \nAbstract: After many years of efforts\, still very little is known today about the physics of strongly-coupled chiral gauge theories in four dimensions\, in spite of an important role they might play in the physics of fundamental interactions beyond the standard SU(3)xSU(2)xU(1) model. This is in stark contrast with the vectorlike gauge theories for which we have many solid results\, thanks to some exact theorems\, to the lattice simulation studies\, to the Seiberg-Witten exact solution of N=2 supersymmetric gauge theories\, and last\, but not the least\, to the real-world strong-interaction phenomenology and experimental tests of Quantum Chromodynamics. \nThe purpose of this seminar is to discuss the results of our recent efforts to improve the understanding of the strongly-coupled chiral gauge theories. Among the main tools of analysis are the consideration of anomalies. We use both the conventional ’t Hooft anomaly-matching ideas\, and new\, more stringent constraints coming from the generalized anomalies involving some higher-form symmetries. Also\, the so-called strong anomalies\, little considered in the context of chiral gage theories\, are found to carry significant implications. \nAs the playground we study several classes of SU(N) gauge theories\, the so-called Bars-Yankielowicz models\, the generalized Georgi-Glashow models\, as well as a few other simple theories with the fermions in complex\, anomaly-free representations of the color SU(N). \nColor-flavor-locked dynamical Higgs phase and dynamical Abelianization\, emerge\, among others\, as two particularly interesting possible phases the system can flow into in the infrared\, depending on the matter fermion content of the model.
URL:https://cmsa.fas.harvard.edu/event/qm_7722/
LOCATION:Virtual
CATEGORIES:Quantum Matter
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220521T090000
DTEND;TZID=America/New_York:20220612T170000
DTSTAMP:20260629T163002
CREATED:20230706T182609Z
LAST-MODIFIED:20240229T094452Z
UID:10000147-1653123600-1655053200@cmsa.fas.harvard.edu
SUMMARY:2022 Summer Introduction to Mathematical Research
DESCRIPTION:The Math Department and Harvard’s Center of Mathematical Sciences and Applications (CMSA) will be running a math program/course for mathematically minded undergraduates this summer. The course will be run by Dr. Yingying Wu from CMSA. Here is a description: \nSummer Introduction to Mathematical Research (sponsored by CMSA and the Harvard Math Department) \nIn this course\, we will start with an introduction to computer programming\, algorithms\, and scientific computing. Then we will discuss topics in topology\, classical geometry\, projective geometry\, and differential geometry\, and see how they can be applied to machine learning. We will go on to discuss fundamental concepts of deep learning\, different deep neural network models\, and mathematical interpretations of why deep neural networks are effective from a calculus viewpoint. We will conclude the course with a gentle introduction to cryptography\, introducing some of the iconic topics: Yao’s Millionaires’ problem\, zero-knowledge proof\, the multi-party computation algorithm\, and its proof. \nThe program hopes to provide several research mentors from various disciplines who will give some of the course lectures. Students will have the opportunity to work with one of the research mentors offered by the program. \nPrerequisites: Basic coding ability in some programming language (C/Python/Matlab or CS50 experience). Some background in calculus and linear algebra is needed too. If you wish to work with a research mentor on differential geometry\, more background in geometry such as from Math 132 or 136 will be useful. If you wish to work with a research mentor on computer science\, coding experience mentioned above will be very useful. If you wish to work with a medical scientist\, some background in life science or basic organic chemistry is recommended. \nThe course will meet 3 hours per week for 7 weeks via Zoom on days and times that will be scheduled for the convenience of the participants. There may be other times to be arranged for special events. \nThis program is only open to current Harvard undergraduates; both Mathematics concentrators and non-math concentrators are invited to apply. People already enrolled in a Math Department summer tutorial are welcome to partake in this program also. As with the summer tutorials\, there is no association with the Harvard Summer School; and neither Math concentration credit nor Harvard College credit will be given for completing this course. This course has no official Harvard status and enrollment does not qualify you for any Harvard-related perks (such as a place to live if you are in Boston over the summer.) \nHowever: As with the summer tutorials\, those enrolled are eligible* to receive a stipend of $700\, and if you are a Mathematics concentrator\, any written paper for the course can be submitted to fulfill the Math Concentration third-year paper requirement. (*The stipend is not available for people already receiving a stipend via the Math Department’s summer tutorial program\, nor is it available for PRISE participants or participants in the Herchel Smith program.) \nIf you wish to join this program\, please email Cliff Taubes (chtaubes@math.harvard.edu). The enrollment is limited\, so don’t wait too long to apply.
URL:https://cmsa.fas.harvard.edu/event/2022-summer-introduction-to-mathematical-research/
LOCATION:Virtual
CATEGORIES:Event,Programs
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/CMSA-2-600x338-1-1.jpg
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