Linear response theory and entropic fluctuations in repeated interaction quantum systems
Abstract
We study Linear Response Theory and Entropic Fluctuations of finite dimensional non-equilibrium repeated interaction systems (RIS). More precisely, in a situation where the temperatures of the probes can take a finite number of different values, we prove analogs of the Green-Kubo fluctuation-dissipation formula and Onsager reciprocity relations on energy flux observables. Then we prove a Large Deviation Principle, or Fluctuation Theorem, and a Central Limit Theorem on the full counting statistics of entropy fluxes. We consider two types of non-equilibrium RIS: either the temperatures of the probes are deterministic and arrive in a cyclic way, or the temperatures of the probes are described by a sequence of i.i.d. random variables with uniform distribution over a finite set.
Cite
@article{arxiv.2002.10989,
title = {Linear response theory and entropic fluctuations in repeated interaction quantum systems},
author = {J. F. Bougron and L. Bruneau},
journal= {arXiv preprint arXiv:2002.10989},
year = {2020}
}