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DTSTART;TZID=America/New_York:20221101T090000
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DTSTAMP:20260609T153457
CREATED:20240214T113716Z
LAST-MODIFIED:20240229T100642Z
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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:20221108T113000
DTEND;TZID=America/New_York:20221108T130000
DTSTAMP:20260609T153457
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:20221115T093000
DTEND;TZID=America/New_York:20221115T110000
DTSTAMP:20260609T153457
CREATED:20240229T095854Z
LAST-MODIFIED:20240229T095854Z
UID:10002884-1668504600-1668510000@cmsa.fas.harvard.edu
SUMMARY:Topology of the Fermi sea: Ordinary metals as topological materials
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Pok Man Tam (University of Pennsylvania) \nTitle: Topology of the Fermi sea: Ordinary metals as topological materials \nAbstract: It has long been known that the quantum ground state of a metal is characterized by an abstract manifold in momentum space called the Fermi sea. Fermi sea can be distinguished topologically in much the same way that a ball can be distinguished from a donut by counting the number of holes. The associated topological invariant\, i.e. the Euler characteristic (χ_F)\, serves to classify metals. Here I will survey two recent proposals relating χ_F  to experimental observables\, namely: (i) equal-time density/number correlations [1]\, and (ii) Andreev state transport along a planar Josephson junction [2]. Moreover\, from the perspective of quantum information\, I will explain how multipartite entanglement in real space probes the Fermi sea topology in momentum space [1]. Our works not only provide a new connection between topology and entanglement in gapless quantum matters\, but also suggest accessible experimental platforms to extract the topology in metals. \n[1] P. M. Tam\, M. Claassen\, C. L. Kane\, Phys. Rev. X 12\, 031022 (2022) \n[2] P. M. Tam and C. L. Kane\, arXiv:2210.08048 \n 
URL:https://cmsa.fas.harvard.edu/event/qm_tba-7/
LOCATION:MA
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-Seminar-11.15.22.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221122T093000
DTEND;TZID=America/New_York:20221122T110000
DTSTAMP:20260609T153457
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
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