Freiburg 2019 – wissenschaftliches Programm

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FM: Fall Meeting

FM 35: Entanglement: Many-Body Dynamics I

FM 35.2: Talk

Dienstag, 24. September 2019, 14:15–14:30, 2004

Entanglement-ergodic quantum systems equilibrate exponentially well — •Henrik Wilming1, Marcel Goihl2, Ingo Roth2, and Jens Eisert21Institute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland — 2Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany

One of the outstanding problems in non-equilibrium physics is to precisely understand when and how physically relevant observables in many-body systems equilibrate under unitary time evolution. General equilibration results show that equilibration is generic in interacting systems provided that the initial state has overlap with sufficiently many energy levels. But strong results not referring to typicality which show that natural initial states actually fulfill this condition are lacking. In this work, we present stringent results for equilibration for systems in which Rényi entanglement entropies in energy eigenstates with finite energy density are extensive for at least some, not necessarily connected, sub-system. Our results reverse the logic of common arguments, in that we derive equilibration from a weak condition akin to the eigenstate thermalization hypothesis, which is usually attributed to thermalization in systems that are assumed to equilibrate in the first place.

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