LASSP & AEP Seminar - Joel Moore - University of Berkeley
Tuesday, November 9, 2021 12:20pm
About this Event
Hosted by: Debanjan Chowdhury
Title: New hydrodynamical regimes in quantum many-body systems: theory and reality
Abstract: Considerable progress has taken place in the past few years in developing the hydrodynamic theory of quantum integrable models in one spatial dimension. A surprising result of those developments was the understanding that the Heisenberg point of the spin-half chain, along with some other integrable isotropic models, shows superdiffusive dynamics even in ordinary spin correlation functions and even at high temperatures. These are governed by the Kardar-Parisi-Zhang (KPZ) universality class familiar from classical statistical physics. We review the physical picture that underlies why integrable models have special hydrodynamics with a focus on the XXZ spin chain, and show stringent tests of the validity of this theory for the ballistic easy-plane regime. We then turn to the Heisenberg point and discuss when KPZ behavior occurs, how it connects to previously studied low-temperature limits, and how this behavior is manifested in experiments in both solids and atomic systems. We close with a discussion of how integrability-breaking perturbations appear in real systems but still allow superdiffusive behavior.
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Topic: LASSP & AEP Seminar - Joel Moore - University of Berkeley
Time: Nov 9, 2021 12:20 PM Eastern Time (US and Canada)
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