Quantum jump model for a system with a finite-size environment

TL;DR

This paper introduces a quantum jump model tailored for open quantum systems with finite-size environments, enabling the study of fluctuation relations and thermodynamic properties that standard models cannot accurately capture.

Contribution

The authors develop a novel quantum jump approach specifically designed for finite-size environments, advancing the modeling of open quantum system dynamics.

Findings

The model satisfies common fluctuation relations.

Finite-size environment influences are effectively captured.

Standard stochastic models are insufficient for finite environments.

Abstract

Measuring the thermodynamic properties of open quantum systems poses a major challenge. A calorimetric detection has been proposed as a feasible experimental scheme to measure work and fluctuation relations in open quantum systems. However, the detection requires a finite size for the environment, which influences the system dynamics. This process cannot be modeled with the standard stochastic approaches. We develop a quantum jump model suitable for systems coupled to a finite-size environment. With the method we study the common fluctuation relations and prove that they are satisfied.