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Fluctuation relations for heat exchange in the generalized Gibbs ensemble |
Bo-Bo Wei( ) |
| School of Physics and Energy, Shenzhen University, Shenzhen 518060, China |
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Abstract In this work, we investigate the heat exchange between two quantum systems whose initial equilibrium states are described by the generalized Gibbs ensemble. First, we generalize the fluctuation relations for heat exchange discovered by Jarzynski and Wójcik to quantum systems prepared in the equilibrium states described by the generalized Gibbs ensemble at various generalized temperatures. Secondly, we extend the connections between heat exchange and the Rényi divergences to quantum systems under generic initial conditions. These relations are applicable for quantum systems with conserved quantities and universally valid for quantum systems in the integrable and chaotic regimes.
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| Keywords
exchange fluctuation relation
generalized Gibbs ensemble
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Corresponding Author(s):
Bo-Bo Wei
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Issue Date: 10 September 2018
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