Unified Treatment of Quantum Fluctuation Theorem and Jarzynski Equality in Terms of microscopic reversibility

TL;DR

This paper derives quantum analogues of the fluctuation theorem and Jarzynski equality, establishing a unified framework based on microscopic reversibility, extending classical results to quantum systems.

Contribution

It introduces quantum versions of these theorems under microscopic reversibility, providing a unified theoretical foundation for quantum fluctuation relations.

Findings

Derived quantum fluctuation theorem

Established quantum Jarzynski equality

Unified classical and quantum fluctuation frameworks

Abstract

There are two related theorems which hold even in far from equilibrium, namely fluctuation theorem and Jarzynski equality. Fluctuation theorem states the existence of symmetry of fluctuation of entropy production, while Jarzynski equality enables us to estimate the free energy change between two states by using irreversible processes. On the other hand, relationship between these theorems was investigated by Crooks for the classical stochastic systems. In this letter, we derive quantum analogues of fluctuation theorem and Jarzynski equality microscopic reversibility condition. In other words, the quantum analogue of the work by Crooks is presented.