The Tasaki-Crooks quantum fluctuation theorem

TL;DR

This paper derives the quantum Crooks fluctuation theorem from a quantum correlation function expression of work, demonstrating how the theorem naturally follows through inverse Fourier transformation.

Contribution

It presents a straightforward derivation of the quantum Crooks fluctuation theorem using quantum correlation functions, simplifying previous approaches.

Findings

Quantum Crooks fluctuation theorem derived from correlation functions

The derivation is nearly immediate via inverse Fourier transform

Provides a clearer understanding of quantum fluctuation relations

Abstract

Starting out from the recently established quantum correlation function expression of the characteristic function for the work performed by a force protocol on the system [cond-mat/0703213] the quantum version of the Crooks fluctuation theorem is shown to emerge almost immediately by the mere application of an inverse Fourier transformation.