Calculating work in adiabatic two-level quantum Markovian master equations: A characteristic function method

TL;DR

This paper introduces a characteristic function approach to compute the probability distribution of work in adiabatic two-level quantum Markovian systems, revealing symmetry properties akin to isolated systems.

Contribution

It develops a novel method based on quantum jump interpretation for calculating work distributions in time-dependent open quantum systems.

Findings

The method accurately computes work probability densities.

Work fluctuation symmetry mirrors that of isolated systems.

Demonstrated with a periodically driven two-level model.

Abstract

We present a characteristic function method to calculate the probability density functions of the inclusive work in the adiabatic two-level quantum Markovian master equations. These systems are steered by some slowly varying parameters and the dissipations may depend on time. Our theory is based on the interpretation of the quantum jump for the master equations. In addition to the calculation, we also find that the fluctuation properties of the work can be described by the symmetry of the characteristic functions, which is exactly the same as the case of the isolated systems. A periodically driven two-level model is used to show the method.