Decoherence at constant excitation

TL;DR

This paper introduces an exactly solvable extension of the Jaynes-Cummings model that incorporates dissipation while conserving total excitation number, simplifying analysis through block reduction of the Liouville operator.

Contribution

It presents a novel, exactly solvable dissipative extension of the Jaynes-Cummings model with conserved excitation number, enabling simplified analytical treatment.

Findings

Exact solutions for the extended model are obtained.

The Liouville operator reduces to 4x4 blocks, facilitating analysis.

The model provides insights into decoherence with conserved excitations.

Abstract

We present a simple exactly solvable extension of of the Jaynes-Cummings model by adding dissipation. This is done such that the total number of excitations is conserved. The Liouville operator in the resulting master equation can be reduced to blocks of $4\times 4$ matrices.