Time-reversal symmetry and fluctuation relations in non-equilibrium quantum steady states

Understand

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.