Computation of transient dynamics of energy power for a dissipative two state system

TL;DR

This paper investigates the time-dependent quantum average power in a dissipative two-level system coupled to a thermal bath, comparing quantum master equations and the functional influence method, highlighting differences at low temperatures.

Contribution

It provides a comparative analysis of quantum master equations and the functional influence method for calculating energy transfer in dissipative quantum systems.

Findings

Deviations between methods are significant at low temperatures.

Both approaches show similar results at higher temperatures.

The study enhances understanding of energy dynamics in open quantum systems.

Abstract

We consider a two level system coupled to a thermal bath and we investigate the variation of energy transferred to the reservoir as a function of time. The physical quantity under investigation is the time-dependent quantum average power. We compare quantum master equation approaches with functional influence method. Differences and similarities between the methods are analyzed, showing deviations at low temperature between the functional integral approach and the predictions based on master equations.