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Fluctuation Theorem for Many-body Pure Quantum States

Monday November 14, 2016
3:30 pm


 Presenter:  Takahiro Sagawa, University of Tokyo
 Series:  CQuIC Seminars
 Abstract:  The origin of macroscopic irreversibility under microscopic reversible dynamics is a longstanding fundamental problem in nonequilibrium statistical mechanics. In recent years, it has been established that even a pure quantum state, described by a single wave function, can relax to macroscopic thermal equilibrium by reversible unitary dynamics. We here show that the second law of thermodynamics and the fluctuation theorem, a universal equality characterizing the property of entropy production far from equilibrium, hold true for isolated genuine quantum systems under unitary dynamics [1]. Our study is based on a rigorous proof by using the Lieb-Robinson bound, and numerical simulation of hard-core bosons. Our results imply that thermal fluctuations emerge from purely quantum fluctuations in nonequilibrium dynamics. We also discuss a role of eigenstate-thermalization hypothesis (ETH).
[1] Eiki Iyoda, Kazuya Kaneko, Takahiro Sagawa, arXiv:1603.07857.
 Location:  PAIS-2540, PAIS

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