Entropic Fluctuation Theorems for the Spin-Fermion Model

TL;DR

This paper proves fundamental fluctuation theorems for a quantum spin-fermion system, linking entropic fluctuations with quantum phase space contraction and reservoir interactions, using spectral resonance theory.

Contribution

It establishes quantum entropic fluctuation theorems for the spin-fermion model and connects them with quantum phase space contraction, advancing theoretical understanding.

Findings

Proved quantum Evans-Searles and Gallavotti-Cohen fluctuation theorems.

Linked entropic fluctuations with quantum phase space contraction.

Utilized spectral resonance theory for the proof.

Abstract

We study entropic fluctuations in the Spin-Fermion model describing an $N$-level quantum system coupled to several independent thermal free Fermi gas reservoirs. We establish the quantum Evans-Searles and Gallavotti-Cohen fluctuation theorems and identify their link with entropic ancilla state tomography and quantum phase space contraction of non-equilibrium steady state. The method of proof involves the spectral resonance theory of quantum transfer operators developed by the authors in previous works.