Tailoring the thermalization time of a cavity-field using distinct atomic reservoirs

TL;DR

This paper investigates how different types of atomic reservoirs influence the thermalization time of a cavity-field, providing analytical expressions and potential applications in quantum heat engines.

Contribution

It introduces a detailed analysis of how atomic reservoir types affect the thermalization scaling laws and time, with analytical and numerical validation.

Findings

Different atomic reservoirs produce distinct thermalization scaling laws.

Analytical expressions for thermalization time were derived and validated.

Results suggest potential improvements in quantum heat engine efficiency.

Abstract

We study how the thermalization time of a single radiation cavity-field mode changes drastically depending on the type of the atomic reservoir it interacts. Temporal evolution of the field is analyzed within the micromaser scheme, where each atomic reservoir is modeled as a beam of atoms crossing an electromagnetic cavity in which they weakly interact with the field. The cavity-field thermalizes when we consider either multi-atom or multi-level atom reservoirs. We found that each atomic reservoir generates a different scaling law in the thermalization time of the cavity-field. Such scaling laws can be used for a faster or slower heating and cooling process. We have obtained analytical expressions for the thermalization time that were verified by means of a numerical simulation of the injection of each atomic reservoir into the cavity. We also discussed how our results could boost the efficiency and power output of some quantum heat engines during a finite time operation when the radiation field mode acts as the working substance.