Symmetry-induced fluctuation relations in open quantum systems

TL;DR

This paper develops a general framework for deriving quantum fluctuation relations in open quantum systems using quantum jump trajectories and large deviation techniques, extending classical results without two-point measurements.

Contribution

It introduces a novel scheme to obtain quantum fluctuation relations for open systems, generalizing classical results and avoiding the two-point measurement approach.

Findings

General scheme for quantum fluctuation relations in open systems

Extension of classical fluctuation relations to quantum Markovian dynamics

Illustrative examples demonstrating the main theoretical results

Abstract

We derive a general scheme to obtain quantum fluctuation relations for dynamical observables in open quantum systems. For concreteness we consider Markovian non-unitary dynamics that is unraveled in terms of quantum jump trajectories, and exploit techniques from the theory of large deviations like the tilted ensemble and the Doob transform. Our results here generalise to open quantum systems fluctuation relations previously obtained for classical Markovian systems, and add to the vast literature on fluctuation relations in the quantum domain, but without resorting to the standard two-point measurement scheme. We illustrate our findings with three examples in order to highlight and discuss the main features of our general result.