Events Calendar
Fluctuation Theorem for Many-body Pure Quantum States
Monday November 14, 2016
3:30 pm
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Presenter: | Takahiro Sagawa, University of Tokyo |
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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. |
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Location: | PAIS-2540, PAIS | |