Time-reversal symmetry and fluctuation relations in non-equilibrium quantum steady states
arXiv:1306.3900 · doi:10.1088/1751-8113/46/37/372001
Abstract
In this note, we present a simple derivation, from time-reversal symmetry, of fluctuation relations for steady-state large deviation functions in non-equilibrium quantum systems. We further show that a condition of pure transmission implies extended fluctuation relations, connecting large deviation functions to mean currents at shifted temperatures and chemical potentials. We illustrate these concepts in various examples, including the interacting resonant level model and conformal or integrable models.
12 pages
References in corpus (8)
- Non equilibrium steady states: fluctuations and large deviations of the density and of the current
- Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
- Large deviations and universality in quantum quenches
- Full counting statistics for noninteracting fermions: Exact results and the Levitov-Lesovik formula
- Non-equilibrium thermal transport in the quantum Ising chain
- Fredholm determinants and the statistics of charge transport
- Full Counting Statistics: An elementary derivation of Levitov's formula
- Nonequilibrium density matrix for thermal transport in quantum field theory
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