An Approximate Solution of the Jaynes-Cummings Model with Dissipation

TL;DR

This paper presents an approximate method using Zassenhaus expansion to solve the master equation of the Jaynes-Cummings model with dissipation, providing insights into the system's dynamics under realistic conditions.

Contribution

It introduces a novel approximate solution technique for the dissipative Jaynes-Cummings model using the Zassenhaus expansion, extending previous analytical approaches.

Findings

Provides an explicit approximate solution to the master equation.

Demonstrates the effectiveness of the Zassenhaus expansion in quantum dissipation.

Offers a framework for analyzing open quantum systems with similar models.

Abstract

In this paper we treat the Jaynes-Cummings model with dissipation and give an approximate solution to the master equation for the density operator {\bf under the general setting} by making use of the Zassenhaus expansion.