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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240315T100000
DTEND;TZID=America/New_York:20240315T113000
DTSTAMP:20260501T111918
CREATED:20240311T164549Z
LAST-MODIFIED:20240311T164549Z
UID:10002907-1710496800-1710502200@cmsa.fas.harvard.edu
SUMMARY:Monopoles\, scattering\, generalized symmetries
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Diego Delmastro (Simons Center for Geometry and Physics) \nTitle: Monopoles\, scattering\, generalized symmetries\n \nAbstract: Gauge theory is a very mature subject by now. Surprisingly\, some of its symmetries have only been properly understood in the last couple of years. Specifically\, such theories typically have a very rich set of symmetries\, involving modern notions such as higher-form symmetries\, higher-group symmetries\, and categorical symmetries. A proper understanding of these generalized symmetries is not really crucial if we are interested in scattering processes involvingfundamental particles only\, but it does become quite essential if we want to add monopoles into the mix.  In this talk I will review where these generalized symmetries come from\, and how they impose constraints on scattering amplitudes of elementary particles against heavy monopoles. This will allow us to resolve a decades-old puzzle concerning such processes\, where incoming electrons appear to become fractional particles after the scattering event.
URL:https://cmsa.fas.harvard.edu/event/monopoles-scattering-generalized-symmetries/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/1710175391273-1be4453c-8fc6-4e08-84f5-51bec5d04ec1docx_1-2.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240313T100000
DTEND;TZID=America/New_York:20240313T123000
DTSTAMP:20260501T111918
CREATED:20240311T201438Z
LAST-MODIFIED:20240813T161117Z
UID:10002908-1710324000-1710333000@cmsa.fas.harvard.edu
SUMMARY:Cluster state as a noninvertible SPT phase
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Shu-Heng Shao (SUNY Stony Brook) \nTitle: Cluster state as a noninvertible SPT phase\n \nAbstract: We will point out a non-invertible symmetry of the ordinary 1+1d Z2xZ2 cluster Hamiltonian. Therefore\, the cluster state can be viewed as a non-invertible SPT phase under this fusion category symmetry\, which is Rep(D8). We furthermore find two new stabilizer states that are distinct from the cluster state as Rep(D8) SPT phases\, but identical as Z2xZ2 SPT phases. Finally\, we discuss the degenerate edge modes at the interfaces between these three Rep(D8) SPT phases. 
URL:https://cmsa.fas.harvard.edu/event/qm_31324/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-08.13.2024.docx-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240308T090000
DTEND;TZID=America/New_York:20240308T100000
DTSTAMP:20260501T111918
CREATED:20240305T204031Z
LAST-MODIFIED:20240307T165344Z
UID:10001510-1709888400-1709892000@cmsa.fas.harvard.edu
SUMMARY:A model for studying the sign problem on quantum computers: Z(3) gauge theory with three fermion flavors in 1+1 dimensions
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Semeon Valgushev (Iowa State University) \nTitle: A model for studying the sign problem on quantum computers: Z(3) gauge theory with three fermion flavors in 1+1 dimensions \nAbstract: Many properties of quantum field theories can be understood with the help of classical numerical methods. Yet there are several outstanding problems — most remarkably the behaviour of nuclear matter at finite density and out-of-equilibrium real-time dynamics — that require the use of quantum algorithms. We present a simple yet physically rich toy model of QCD/nuclear matter at finite density\, termed “QZD”\, where Z stands for Z(3) gauge theory coupled to Nf = 3 fermion flavors\, suitable for simulation on near-term quantum devices. We study it using tensor networks and find that in weak coupling the spectrum is that of the expected mesons and baryons\, although the corrections in weak coupling are nontrivial. In strong coupling\, besides the usual baryon\, the singlet meson is a baryon anti-baryon state. For two special values of the coupling constant\, the lightest baryon is degenerate with the lightest octet meson\, and the lightest singlet meson\, respectively.
URL:https://cmsa.fas.harvard.edu/event/qm-3824/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/1709829554146-a2e594b2-ba0b-4248-bd23-63c7f0f9e199docx_1-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240223T100000
DTEND;TZID=America/New_York:20240223T113000
DTSTAMP:20260501T111918
CREATED:20240219T193919Z
LAST-MODIFIED:20240220T151759Z
UID:10001508-1708682400-1708687800@cmsa.fas.harvard.edu
SUMMARY:Spontaneously Broken (-1)-form symmetries
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Motoo Suzuki (Harvard) \nTitle: Spontaneously Broken (-1)-form symmetries \nAbstract: Spontaneous breaking of symmetries leads to universal phenomena. We extend this notion to (−1)-form U(1) symmetries. The spontaneous breaking is diagnosed by a dependence of the vacuum energy on a constant background field θ\, which can be probed by the topological susceptibility. This leads to a reinterpretation of the Strong CP problem as arising from a spontaneously broken instantonic symmetry in QCD. We discuss how known solutions to the problem are unified in this framework and explore some\, so far unsuccessful\, attempts to find new solutions. I will also talk about our ongoing work on the explicit breaking by monopoles.
URL:https://cmsa.fas.harvard.edu/event/qm-22824/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.23.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240216T103000
DTEND;TZID=America/New_York:20240216T120000
DTSTAMP:20260501T111918
CREATED:20240212T160753Z
LAST-MODIFIED:20240212T212952Z
UID:10001507-1708079400-1708084800@cmsa.fas.harvard.edu
SUMMARY:Programmable Simulations of Molecules and Materials with present-day Reconfigurable Quantum Processors
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Susanne Yelin (Harvard) \nTitle: Programmable Simulations of Molecules and Materials with present-day Reconfigurable Quantum Processors \nAbstract: Simulations of quantum chemistry and quantum materials are believed to be among the most important potential applications of quantum information processors\, but realizing practical quantum advantage for such problems is challenging. We introduce a simulation framework for strongly correlated quantum systems that can be represented by model spin Hamiltonians. Our approach leverages reconfigurable qubit architectures to programmably simulate real-time dynamics and introduces an algorithm for extracting chemically relevant spectral properties via classical co-processing of quantum measurement results. We develop a digital-analog simulation toolbox for efficient Hamiltonian time evolution utilizing digital Floquet engineering and hardware-optimized multi-qubit operations to accurately realize complex spin-spin interactions\, and as an example present an implementation proposal based on Rydberg atom arrays. Then\, we show how detailed spectral and other relevant chemical information can be extracted from these dynamics through snapshot measurements and single-ancilla control\, enabling the evaluation of excitation energies and finite-temperature susceptibilities from a single-dataset. To illustrate the approach\, we show how this method can be used to compute key properties of a polynuclear transition-metal catalyst and 2D magnetic materials.
URL:https://cmsa.fas.harvard.edu/event/qm-21624/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.16.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240214T160000
DTEND;TZID=America/New_York:20240214T173000
DTSTAMP:20260501T111918
CREATED:20240212T162016Z
LAST-MODIFIED:20240212T211844Z
UID:10002103-1707926400-1707931800@cmsa.fas.harvard.edu
SUMMARY:Quantum Algebra of Chern-Simons Matrix Model and Large N Limit
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Sen Hu (Shanghai Institute for Mathematics and Interdisciplinary Study) \nTitle: Quantum Algebra of Chern-Simons Matrix Model and Large N Limit \nAbstract: In this talk we discuss the algebra of quantum observables of the Chern-Simons matrix model which was originally proposed by Susskind and Polychronakos to describe electrons in fractional quantum Hall effects. We establish the commutation relations for its generators and study the large N limit of its representation. We show that the large N limit algebra is isomorphic to the uniform in N algebra studied by Costello\, which is conjecturally isomorphic to the deformed double current algebra studied by Guay. Under appropriate scaling limit\, we show that the large N limit algebra degenerates to a Lie algebra which admits a surjective map to the affine Lie algebra of u(p). This leads to a complete proof of the large N emergence of the u(p) current algebra as proposed by Dorey\, Tong and Turner. This also suggests a rigorous derivation of edge excitation of a fractional quantum Hall droplet. This is a joint work with Si Li\, Dongheng Ye and Yehao Zhou (arXiv: 2308.14046).
URL:https://cmsa.fas.harvard.edu/event/qm-21424/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter,Seminars
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.14.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240209T093000
DTEND;TZID=America/New_York:20240209T110000
DTSTAMP:20260501T111918
CREATED:20240205T162614Z
LAST-MODIFIED:20240207T184606Z
UID:10001506-1707471000-1707476400@cmsa.fas.harvard.edu
SUMMARY:Quantum Algorithms to Recognize Phases of Matter and Exactly Solvable 2D Models with Anomalous Entanglement Entropy
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Soonwon Choi (MIT) \nTitle: Quantum Algorithms to Recognize Phases of Matter and  Exactly Solvable 2D Models with Anomalous Entanglement Entropy \nAbstract: In this talk\, I will report my two recent results at the intersection of quantum information and strongly interacting phases of matters. \nIn the first half of the talk\, we describe exact quantum algorithms that recognize a class of 1D gapped phases\, namely symmetry protected topological phases or spontaneous symmetry breaking phases protected by abelian internal symmetry. The key idea is to observe the conceptual similarity between renormalization group (RG) flow and error correction\, and to implement the latter as unitary circuits emulating the RG flow. Our algorithm guarantees faithful recognition of a target phase with a small number of input quantum state samples. \nIn the second half\, we present a class of 2D Hamiltonians\, where the exact ground state wavefunctions can be exactly evaluated and shown to exhibit anomalous entanglement properties. One class of our models exhibit area-law scaling entanglement entropy\, but this is mostly due to non-local correlation: one finds that the topological entanglement entropy also scales with the size of subsystem choices. By making simple modifications\, we can also devise 2D models with volume-law scaling bipartite entanglement entropy. Our results can be understood as a generation of the 1D Motzkin model to 2D systems. \nBased on work done with Ethan Lake and Shankar Balasubramanian \nhttps://arxiv.org/abs/2211.09803 \nhttps://arxiv.org/abs/2305.07028
URL:https://cmsa.fas.harvard.edu/event/qm-2924/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.09.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240206T160000
DTEND;TZID=America/New_York:20240206T173000
DTSTAMP:20260501T111918
CREATED:20240131T153258Z
LAST-MODIFIED:20240205T193624Z
UID:10001505-1707235200-1707240600@cmsa.fas.harvard.edu
SUMMARY:Flavor hierarchy from smooth confinement & Towards a complete classification of 6d supergravities
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Yuta Hamada (KEK\, Tsukuba) \nTitle: Flavor hierarchy from smooth confinement & Towards a complete classification of 6d supergravities \nAbstract: The talk consists of two independent parts. In the first part\, I will talk about a new model to explain the Standard Model flavor hierarchy. Our model is based on explicit smooth confinement. The smallness of the first- and second-family fermion masses is explained by the exponential hierarchy via dimensional transmutation. In the second part\, I will talk about a classification of 6D supergravities. We make progress towards a complete classification of 6D supergravities with minimal supersymmetry and non-abelian gauge group. \nReferences – arXiv: 2209.15244\, 2309.15152\, 2311.00868 \n 
URL:https://cmsa.fas.harvard.edu/event/qm_2624/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.06.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240202T100000
DTEND;TZID=America/New_York:20240202T113000
DTSTAMP:20260501T111918
CREATED:20240129T153031Z
LAST-MODIFIED:20240130T205926Z
UID:10001318-1706868000-1706873400@cmsa.fas.harvard.edu
SUMMARY:Quantum Circuits to local Hamiltonian: role in quantum complexity and new constructions 
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Anurag Anshu (Harvard) \nTitle: Quantum Circuits to local Hamiltonian: role in quantum complexity and new constructions \nAbstract: At the heart of the theory of NP completeness lies a mapping from classical circuits to constraint satisfaction problems (classical local Hamiltonians). \nThe quantum analogue of this is the remarkable history state construction of Kitaev (building upon Feynman’s work). This talk will provide an introduction to this mapping and its crucial role in bridging quantum computer science and quantum many-body physics research. Then\, we will describe a new mapping using tensor networks and quantum fault tolerance (https://arxiv.org/abs/2309.16475). Time permitting\, we will discuss the relevance of this mapping to the quantum PCP conjecture.
URL:https://cmsa.fas.harvard.edu/event/qm_2224/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.02.24.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240126T093000
DTEND;TZID=America/New_York:20240126T110000
DTSTAMP:20260501T111918
CREATED:20240118T143433Z
LAST-MODIFIED:20240118T192034Z
UID:10000860-1706261400-1706266800@cmsa.fas.harvard.edu
SUMMARY:Gauging spacetime inversions
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Daniel Harlow (MIT) \nTitle: Gauging spacetime inversions \nAbstract: Spacetime inversion symmetries such as parity and time reversal play a central role in physics\, but they are usually treated as global symmetries. In quantum gravity there are no global symmetries\, so any spacetime inversion symmetries must be gauge symmetries. In particular this includes CRT symmetry (in even dimensions usually combined with a rotation to become CPT)\, which in quantum field theory is always a symmetry and seems likely to be a symmetry of quantum gravity as well. I’ll discuss what it means to gauge a spacetime inversion symmetry\, and explain some of the more unusual consequences of doing this. In particular I’ll argue that the gauging of CRT is automatically implemented by the sum over topologies in the Euclidean gravity path integral\, that in a closed universe the Hilbert space of quantum gravity must be a real vector space\, and that in Lorentzian signature manifolds which are not time-orientable must be included as valid configurations of the theory.
URL:https://cmsa.fas.harvard.edu/event/qm-2/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-01.26.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231215T100000
DTEND;TZID=America/New_York:20231215T113000
DTSTAMP:20260501T111918
CREATED:20240222T093357Z
LAST-MODIFIED:20240222T093357Z
UID:10002796-1702634400-1702639800@cmsa.fas.harvard.edu
SUMMARY:Exact lattice chiral symmetry in 2d gauge theory
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Aleksey Cherman (UMN) \nTitle: Exact lattice chiral symmetry in 2d gauge theory \nAbstract: Preserving the symmetries of massless fermions is a well-known challenge in lattice field theory.  I’ll discuss symmetry-preserving lattice regularizations of 2d QED with one and two flavors of Dirac fermions\, as well as the `3450′ chiral gauge theory. The construction leverages bosonization and recently-proposed modifications of Villain-type lattice actions. The internal global symmetries act just as locally on the lattice as they do in the continuum\, the anomalies are reproduced at finite lattice spacing\, and in each case we’ve found a sign-problem-free dual formulation.
URL:https://cmsa.fas.harvard.edu/event/qm_121523/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-12.15.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231214T143000
DTEND;TZID=America/New_York:20231214T160000
DTSTAMP:20260501T111918
CREATED:20240109T001602Z
LAST-MODIFIED:20240109T001934Z
UID:10001133-1702564200-1702569600@cmsa.fas.harvard.edu
SUMMARY:When does a three-dimensions Chern-Simons theory have a time reversal symmetry?
DESCRIPTION:Speaker: Roman Geiko (UCLA) \nTitle: When does a three-dimensions Chern-Simons theory have a time reversal symmetry? \nIn this talk\, I will discuss the time reversal invariance of (spin-) Chern-Simons theory in 3 dimensions at both classical and quantum levels. I will show how to obtain a complete classification of Abelian anyons with the time reversal symmetry expressed in terms of the higher Gauss sums. Then\, I will comment on the time reversal symmetry of Chern-Simons in the non-Abelian case.
URL:https://cmsa.fas.harvard.edu/event/qm_121423/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-12.14.2023.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231208T143000
DTEND;TZID=America/New_York:20231208T160000
DTSTAMP:20260501T111918
CREATED:20240221T100009Z
LAST-MODIFIED:20240221T100109Z
UID:10002772-1702045800-1702051200@cmsa.fas.harvard.edu
SUMMARY:Fermi surface symmetric mass generation and its application in nickelate superconductor
DESCRIPTION:Joint Quantum Matter in Mathematics and Physics & Topological Quantum Matter Seminar \nSpeaker: Da-Chuan Lu (UCSD) \nTitle: Fermi surface symmetric mass generation and its application in nickelate superconductor \nAbstract: Symmetric mass generation (SMG) is a novel interaction-driven mechanism that generates fermion mass without breaking symmetry\, unlike the standard Anderson-Higgs mechanism. SMG can occur in the fermion system without quantum anomalies. In this talk\, I will focus on the SMG for the systems with finite fermion density\, i.e.\, the Fermi surface. I will discuss the Fermi surface anomaly and Fermi surface SMG. Lastly\, I will talk about its application in the newly found nickelate superconductors\, where the superconductivity emerges without a nearby spontaneous symmetry-breaking phase.
URL:https://cmsa.fas.harvard.edu/event/qm_12823/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Quantum-Matter_String-Seminar-12.08.2023.docx-2.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231201T163000
DTEND;TZID=America/New_York:20231201T173000
DTSTAMP:20260501T111918
CREATED:20230802T170029Z
LAST-MODIFIED:20240813T162053Z
UID:10001173-1701448200-1701451800@cmsa.fas.harvard.edu
SUMMARY:A Plane Defect in the 3d O(N) Model
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Abijith Krishnan (MIT) \nTitle: A Plane Defect in the 3d O(N) Model \nAbstract: It was recently found that the classical 3d O(N) model in the semi-infinite geometry can exhibit an “extraordinary-log” boundary universality class\, where the spin-spin correlation function on the boundary falls off as (log x)^(-q). This universality class exists for a range 2≤N<Nc and Monte-Carlo simulations and conformal bootstrap indicate Nc>3. In this talk\, I’ll extend this result to the 3d O(N) model in an infinite geometry with a plane defect. I’ll explain using the renormalization group (RG) that the extraordinary-log universality class is present for any finite N≥2\, and that a line of defect fixed points is present at N=∞. This line of defect fixed points is lifted to the ordinary\, special (no defect) and extraordinary-log universality classes by 1/N corrections. I’ll show that the line of defect fixed points and the 1/N corrections agree with an a-theorem by Jensen and O’Bannon for 3d CFTs with a boundary. Finally\, I’ll conclude by noting some physical systems where the extraordinary-log universality class can be observed. \n 
URL:https://cmsa.fas.harvard.edu/event/qm_33123/
LOCATION:Hybrid
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Topological-Seminar-12.01.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231122T160000
DTEND;TZID=America/New_York:20231122T173000
DTSTAMP:20260501T111918
CREATED:20240221T102006Z
LAST-MODIFIED:20240221T102032Z
UID:10002775-1700668800-1700674200@cmsa.fas.harvard.edu
SUMMARY:Modulated Gauge Theories and Fracton Behavior in 2D
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Guilherme Delfino Silva (Boston University) \nTitle: Modulated Gauge Theories and Fracton Behavior in 2D \nAbstract: In this talk we investigate deconfined phases of two-dimensional ZN lattice gauge theories associated to spatially modulated symmetries. In order to study the low-energy physics of such modulated gauge theories we propose and explore exactly solvable gapped Hamiltonians\, which allow us to fully characterize their low-energy properties at zero temperature. We provide explicit examples and discuss how non-polynomial symmetries\, as exponential symmetries\, are powerful enough to fully constrain the mobility of isolated excitations.
URL:https://cmsa.fas.harvard.edu/event/qm_112223/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-11.22.2023..png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231107T163000
DTEND;TZID=America/New_York:20231107T180000
DTSTAMP:20260501T111918
CREATED:20240222T091622Z
LAST-MODIFIED:20240222T091622Z
UID:10002794-1699374600-1699380000@cmsa.fas.harvard.edu
SUMMARY: A Long Exact Sequence in Symmetry Breaking
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Cameron Krulewski (MIT) and Leon Liu (Harvard) \nTitle: A Long Exact Sequence in Symmetry Breaking \nAbstract: We study defects in symmetry breaking phases\, such as domain walls\, vortices\, and hedgehogs. In particular\, we focus on the localized gapless excitations that sometimes occur at the cores of these objects. These are topologically protected by an ’t Hooft anomaly. We classify different symmetry breaking phases in terms of the anomalies of these defects and relate them to the anomaly of the broken symmetry by an anomaly-matching formula. We also derive the obstruction to the existence of a symmetry breaking phase with a local defect. We obtain these results using a long exact sequence of groups of invertible field theories\, which we call the “symmetry breaking long exact sequence” (SBLES). \nThe mathematical backbone of the SBLES is the Smith homomorphism\, which gives a family of maps between twisted bordism groups. Though many examples have been studied\, we give the first completely general account of the Smith homomorphism. We lift it to a map of Thom \nspectra and identify the cofiber\, producing a long exact sequence of twisted bordism groups; the SBLES is the Anderson dual of that long exact sequence. Our work develops further the theory of higher Berry phase and its bulk-boundary correspondence and serves as a new computational tool for classifying symmetry protected topological phases.
URL:https://cmsa.fas.harvard.edu/event/qm_11723/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-11.07.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231102T163000
DTEND;TZID=America/New_York:20231102T180000
DTSTAMP:20260501T111918
CREATED:20240222T112133Z
LAST-MODIFIED:20240222T112133Z
UID:10002808-1698942600-1698948000@cmsa.fas.harvard.edu
SUMMARY:Landscape of quantum phases in quantum materials
DESCRIPTION:Joint Quantum Matter in Mathematics and Physics and Topological Quantum Matter Seminar \nSpeaker: Liujun Zou (Perimeter Institute) \nTitle: Landscape of quantum phases in quantum materials\n\nAbstract: A central goal of condensed matter physics is to understand which quantum phases of matter can emerge in a quantum material. For this purpose\, one should be able to not only describe the quantum phases using some effective field theories\, but also capture the important microscopic information of the material via mathematical formulation. In this talk\, I will present a framework to classify quantum phases in quantum materials\, where the microscopic information of a material is encoded in its quantum anomaly. I will talk about the application of this framework to classify various exotic quantum phases of matter in different lattice systems. Using our framework\, we have obtained many results unexpected from the previous literature.
URL:https://cmsa.fas.harvard.edu/event/tqms_102523/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter,Topological Quantum Matter Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Special-Joint-QMMP-Topological-QM-11.02.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20231011T163000
DTEND;TZID=America/New_York:20231011T180000
DTSTAMP:20260501T111918
CREATED:20240222T060902Z
LAST-MODIFIED:20240222T060902Z
UID:10002785-1697041800-1697047200@cmsa.fas.harvard.edu
SUMMARY:Non-invertible symmetries\, leptons\, quarks\, and why multiple generations
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Seth Koren (Notre Dame) \nTitle: Non-invertible symmetries\, leptons\, quarks\, and why multiple generations \nAbstract: Generalized global symmetries are present in theories of particle physics\, and understanding their structure can give insight into these theories and UV completions thereof.  After discussing the generalized symmetries of the Standard Model\, we will go Beyond and show that the identification of a non-invertible symmetry of Z’ models of L_µ – L_τ reveals the existence of non-Abelian horizontal gauge theories which naturally produce exponentially small Dirac neutrino masses. Next we will uncover a subtler non-invertible symmetry in horizontal gauge theories of the quark sector which will lead us to a massless down-type quarks solution to strong CP in color-flavor unification. Intriguingly\, this theory works by virtue of the SM having the same numbers of colors and generations.
URL:https://cmsa.fas.harvard.edu/event/qm_101123/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-10.11.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230928T163000
DTEND;TZID=America/New_York:20230928T180000
DTSTAMP:20260501T111918
CREATED:20240221T112307Z
LAST-MODIFIED:20240813T161833Z
UID:10002780-1695918600-1695924000@cmsa.fas.harvard.edu
SUMMARY:Quantum field theory approach to quantum information
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Cenke Xu (UCSB) \nTitle: Quantum field theory approach to quantum information \nAbstract: We apply the formalism of quantum field theory and Euclidean space-time path integral to investigate a class of quantum information problems. In particular\, we investigate quantum many-body systems under weak-measurement and decoherence. The Euclidean space-time path integral allows us to map this problem to a quantum field theory with (temporal) boundary or defects. We therefore investigate two types of quantum many-body systems with nontrivial boundary physics: quantum critical points\, and states with nontrivial topology\, such as Chern insulator and symmetry protected topological states. For example\, we demonstrate that a Wilson-Fisher quantum critical point can be driven into an “extraordinary-log” phase after weak-measurement. Another example is that\, we argue that a system with higher form symmetry may be driven to a self-dual phase transition under weak measurement.
URL:https://cmsa.fas.harvard.edu/event/qm_92823/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-09.28.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230922T100000
DTEND;TZID=America/New_York:20230922T113000
DTSTAMP:20260501T111918
CREATED:20240223T095601Z
LAST-MODIFIED:20240223T095601Z
UID:10002845-1695376800-1695382200@cmsa.fas.harvard.edu
SUMMARY:Floquet codes\, automorphisms\, and quantum computation
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Margarita Davydova (MIT) \nTitle: Floquet codes\, automorphisms\, and quantum computation \nAbstract: In this talk\, I will introduce a new kind of measurement-based quantum computation inspired by Floquet codes. In this model\, the quantum logical gates are implemented by short sequences of low-weight measurements which simultaneously encode logical information and enable error correction.  We introduce a new class of quantum error-correcting codes generalizing Floquet codes that achieve this\, which we call dynamic automorphism (DA) codes. \nAs in Floquet codes\, the instantaneous codespace of a DA code at any fixed point in time is that of a topological code. In this case\, the quantum computation can be viewed as a sequence of time-like domain walls implementing automorphisms of the topological order\, which can be understood in terms of reversible anyon condensation paths in a particular parent model.  This talk will introduce all of these concepts as well as provide a new perspective for thinking about Floquet codes. \nThe explicit examples that we construct\, which we call DA color codes\, can implement the full Clifford group of logical gates in 2+1d by two- and\, rarely three-body measurements. Using adaptive two-body measurements\, we can achieve a non-Clifford gate in 3+1d\, making the first step towards universal quantum computation in this model. \nThe talk is based on recent work with Nathanan Tantivasadakarn\, Shankar Balasubramanian\, and David Aasen [arxiv: 2307.10353].
URL:https://cmsa.fas.harvard.edu/event/qm_92223/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-09.22.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230913T163000
DTEND;TZID=America/New_York:20230913T180000
DTSTAMP:20260501T111918
CREATED:20240223T111403Z
LAST-MODIFIED:20240223T111403Z
UID:10002859-1694622600-1694628000@cmsa.fas.harvard.edu
SUMMARY:Anomalies of Non-Invertible Symmetries
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Clay Córdova (U Chicago) \nTitle: Anomalies of Non-Invertible Symmetries
URL:https://cmsa.fas.harvard.edu/event/qm_91323/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-09.13.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230908T100000
DTEND;TZID=America/New_York:20230908T113000
DTSTAMP:20260501T111918
CREATED:20230904T055802Z
LAST-MODIFIED:20240116T070515Z
UID:10001125-1694167200-1694172600@cmsa.fas.harvard.edu
SUMMARY:A 6-year journey: from gravitational anomaly to a unified theory of generalized symmetry
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Xiao-Gang Wen (MIT) \nTitle: A 6-year journey: from gravitational anomaly to a unified theory of generalized symmetry \nAbstract: Emergent symmetry can be generalized symmetry beyond (higher) group description and/or can be anomalous. I will describe a unified theory for generalized symmetry based on symmetry/topological-order correspondence. I will also discuss some applications of emergent generalized symmetry.
URL:https://cmsa.fas.harvard.edu/event/qm_9823/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-09.08.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230824T100000
DTEND;TZID=America/New_York:20230824T113000
DTSTAMP:20260501T111918
CREATED:20230904T055455Z
LAST-MODIFIED:20240227T085359Z
UID:10001126-1692871200-1692876600@cmsa.fas.harvard.edu
SUMMARY:Two of my favorite numbers: 8 and 24
DESCRIPTION:Quantum Matter Seminar \nSpeaker: John Baez (University of California\, Riverside) \nTitle: Two of my favorite numbers: 8 and 24 \nAbstract: The numbers 8 and 24 play special roles in mathematics. The number 8 is special because of Bott periodicity\, the octonions and the E8 lattice\, while 24 is special for many reasons\, including the binary tetrahedral group\, the 3rd stable homotopy group of spheres\, and the Leech lattice. The number 8 does for superstring theory what the number 24 does for bosonic string theory. In this talk\, which is intended to be entertaining\, I will overview these matters and also some connections between the numbers 8 and 24.
URL:https://cmsa.fas.harvard.edu/event/qm_82423/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-08.24.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230630T100000
DTEND;TZID=America/New_York:20230630T113000
DTSTAMP:20260501T111918
CREATED:20230802T171855Z
LAST-MODIFIED:20240110T074010Z
UID:10001183-1688119200-1688124600@cmsa.fas.harvard.edu
SUMMARY:Monopoles\, Scattering\, and Generalized Symmetries
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Marieke Van Beest (SCGP) \nTitle: Monopoles\, Scattering\, and Generalized Symmetries \nAbstract: In this talk\, we will discuss the problem of electrically charged\, massless fermions scattering off magnetic monopoles. The interpretation of the outgoing states has long been a puzzle\, as they can carry fractional quantum numbers. We argue that such outgoing particles live in the twisted sector of a topological co-dimension 1 surface\, which ends topologically on the monopole. This symmetry defect is often non-invertible\, and as such the outgoing radiation not only carries unconventional flavor quantum numbers\, but is often trailed by a topological field theory\, which is a new prediction.
URL:https://cmsa.fas.harvard.edu/event/qm_63023/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-06.30.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230626T100000
DTEND;TZID=America/New_York:20230626T113000
DTSTAMP:20260501T111918
CREATED:20230802T171648Z
LAST-MODIFIED:20240110T073717Z
UID:10001182-1687773600-1687779000@cmsa.fas.harvard.edu
SUMMARY:Chiral fermionic CFTs of central charge ≤ 16
DESCRIPTION:Quantum Matter Seminar \nTitle: Chiral fermionic CFTs of central charge ≤ 16 \nAbstract: We classified all chiral fermionic CFTs of central charge ≤ 16 using Kac’s theorem and bosonization/fermionization. This talk will discuss the derivation of this result\, its application to the classification of non-supersymmetric heterotic string theories\, and along the way we’ll address some oft-overlooked subtleties of bosonization from the point of view of anomalies and topological phases.
URL:https://cmsa.fas.harvard.edu/event/qm_62623/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-06.26.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230613T100000
DTEND;TZID=America/New_York:20230613T120000
DTSTAMP:20260501T111918
CREATED:20230802T171505Z
LAST-MODIFIED:20240228T070233Z
UID:10001181-1686650400-1686657600@cmsa.fas.harvard.edu
SUMMARY:Small Bosonic CFTs\, Chiral Fermionization\, and Symmetry/Subalgebra Duality
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Brandon C. Rayhaun (C. N. Yang ITP\, Stony Brook University) \nTitle: Small Bosonic CFTs\, Chiral Fermionization\, and Symmetry/Subalgebra Duality \nAbstract: Conformal field theories in (1+1)D are key actors in many dramas of physics and mathematics. Their classification has therefore been an important and long-standing problem. In this talk\, I will explain the main ideas behind the classification of (most) “small” bosonic CFTs. Here\, I use the adjective “small” informally to refer to theories with low central charge (less than 24) and few primary operators (less than 5). Time and attention permitting\, I will highlight two applications of this result. First\, I will describe how it can be used in tandem with bosonization and fermionization techniques to establish the classification of chiral fermionic CFTs with central charge less than 23. Second\, I will showcase how it can be used to bootstrap generalized global symmetries using the concept of “symmetry/subalgebra duality.” \nTalk based on arXiv:2208.05486 [hep-th] (joint work with Sunil Mukhi) and arXiv:2303.16921 [hep-th]. \n \n 
URL:https://cmsa.fas.harvard.edu/event/qm_61323/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-06.13.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230609T100000
DTEND;TZID=America/New_York:20230609T113000
DTSTAMP:20260501T111918
CREATED:20230802T171314Z
LAST-MODIFIED:20240215T111159Z
UID:10001180-1686304800-1686310200@cmsa.fas.harvard.edu
SUMMARY:Classification of Self-Dual Vertex Operator Superalgebras of Central Charge at Most 24
DESCRIPTION:Quantum Matter Seminar \nSpeakers: Gerald Höhn (Kansas State University) & Sven Möller (University of Hamburg) \nTitle: Classification of Self-Dual Vertex Operator Superalgebras of Central Charge at Most 24 \nAbstract: We discuss the classfication of self-dual vertex operator superalgebras (SVOAs) of central charge 24\, or in physics parlance the purely chiral 2-dimensional fermionic conformal field theories with just one primary field. \nThere are exactly 969 such SVOAs under suitable regularity assumptions and the assumption that the shorter moonshine module VB^# is the unique self-dual SVOA of central charge 23.5 whose weight-1/2 and weight-1 spaces vanish. \nWe construct and classify the self-dual SVOAs by determining the 2-neighbourhood graph of the self-dual (purely bosonic) VOAs of central charge 24 and also by realising them as simple-current extensions of a dual pair containing a certain maximal lattice VOA. We show that all SVOAs besides VB^# x F and potential fake copies thereof stem from elements of the Conway group Co_0\, the automorphism group of the Leech lattice. \nBy splitting off free fermions F\, if possible\, we obtain the classification for all central charges less than or equal to 24.\nReference: G. Höhn\, S. Möller\, arXiv:2303.17190.
URL:https://cmsa.fas.harvard.edu/event/qm_6923/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-06.09.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230512T100000
DTEND;TZID=America/New_York:20230512T113000
DTSTAMP:20260501T111918
CREATED:20230802T171128Z
LAST-MODIFIED:20240215T111609Z
UID:10001179-1683885600-1683891000@cmsa.fas.harvard.edu
SUMMARY:Anomalies of (1+1)D categorical symmetries
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Carolyn Zhang (U Chicago) \nTitle: Anomalies of (1+1)D categorical symmetries \nAbstract: We present a general approach for detecting when a fusion category symmetry is anomalous\, based on the existence of a special kind of Lagrangian algebra of the corresponding Drinfeld center. The Drinfeld center of a fusion category $A$ describes a $(2+1)D$ topological order whose gapped boundaries enumerate all $(1+1)D$ gapped phases with the fusion category symmetry\, which may be spontaneously broken. There always exists a gapped boundary\, given by the \emph{electric} Lagrangian algebra\, that describes a phase with $A$ fully spontaneously broken. The symmetry defects of this boundary can be identified with the objects in $A$. We observe that if there exists a different gapped boundary\, given by a \emph{magnetic} Lagrangian algebra\, then there exists a gapped phase where $A$ is not spontaneously broken at all\, which means that $A$ is not anomalous. In certain cases\, we show that requiring the existence of such a magnetic Lagrangian algebra leads to highly computable obstructions to $A$ being anomaly-free. As an application\, we consider the Drinfeld centers of $\mathbb{Z}_N\times\mathbb{Z}_N$ Tambara-Yamagami fusion categories and recover known results from the study of fiber functors.
URL:https://cmsa.fas.harvard.edu/event/qm_51223/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-05.12.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230505T100000
DTEND;TZID=America/New_York:20230505T113000
DTSTAMP:20260501T111918
CREATED:20230802T170945Z
LAST-MODIFIED:20240110T072755Z
UID:10001178-1683280800-1683286200@cmsa.fas.harvard.edu
SUMMARY:Detecting central charge in a superconducting quantum processor
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Sona Najafi (IBM Quantum) \nTitle: Detecting central charge in a superconducting quantum processor \nAbstract: Physical systems at the continuous phase transition point exhibit conformal symmetry rendering local scaling invariance. In two dimensions\, the conformal group possesses infinite generators described by Virasoro algebra with an essential parameter known as a central charge. While the central charge manifests itself in a variety of quantities\, its detection in experimental setup remains elusive. In this work\, we utilize Shannon-Renyi entropy on a local basis of a one-dimensional quantum spin chain at a critical point. We first use a simulated variational quantum eigen solver to prepare the ground state of the critical transfer field Ising model and XXZ model with open and periodic boundary conditions and perform local Pauli X and Z basis measurements. Using error mitigation such as probabilistic error cancellation\, we extract an estimation of the local Pauli observables needed to determine the Shannon-Renyi entropy with respect to subsystem size. Finally\, we obtain the central charge in the sub-leading term of Shannon-Renyi entropy.
URL:https://cmsa.fas.harvard.edu/event/qm_5523/
LOCATION:Hybrid – G10
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-05.05.23-2.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230428T100000
DTEND;TZID=America/New_York:20230428T113000
DTSTAMP:20260501T111918
CREATED:20230802T170750Z
LAST-MODIFIED:20240215T115157Z
UID:10001177-1682676000-1682681400@cmsa.fas.harvard.edu
SUMMARY:Fracton Self-Statistics
DESCRIPTION:Quantum Matter Seminar \nTitle: Fracton Self-Statistics \nSpeaker: Hao Song (ITP-CAS) \nAbstract: Fracton order describes novel quantum phases of matter that host quasiparticles with restricted mobility\, and thus lies beyond the existing paradigm of topological order. In particular\, excitations that cannot move without creating other excitations are called fractons. Here we address a fundamental open question — can the notion of self-exchange statistics be naturally defined for fractons\, given their complete immobility as isolated excitations? Surprisingly\, we demonstrate how fractons can be exchanged\, and show their self-statistics is a key part of the characterization of fracton orders. We derive general constraints satisfied by the fracton self-statistics in a large class of abelian fracton orders. Finally\, we show the existence of semionic or fermionic fracton self-statistics in some twisted variants of the checkerboard model and Haah’s code\, establishing that these models are in distinct quantum phases as compared to their untwisted cousins. \nReferences: H Song\, N Tantivasadakarn\, W Shirley\, M Hermele\, arXiv:2304.00028.
URL:https://cmsa.fas.harvard.edu/event/qm_42823/
LOCATION:Virtual
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-04.28.23.png
END:VEVENT
END:VCALENDAR