Cavity losses for the dissipative Jaynes-Cummings Hamiltonian beyond Rotating Wave Approximation

TL;DR

This paper provides a microscopic derivation of the master equation for the Jaynes-Cummings model with cavity losses, extending previous work by including terms beyond the Rotating Wave Approximation to better understand dissipation.

Contribution

It introduces a derivation that accounts for frequency-dependent terms in the dissipator, clarifying when the phenomenological approach is valid beyond the RWA.

Findings

Identifies physical regimes where the phenomenological dissipator is justified.

Extends previous microscopic derivations beyond the Rotating Wave Approximation.

Provides insights into cavity loss mechanisms in quantum optical systems.

Abstract

A microscopic derivation of the master equation for the Jaynes-Cummings model with cavity losses is given, taking into account the terms in the dissipator which vary with frequencies of the order of the vacuum Rabi frequency. Our approach allows to single out physical contexts wherein the usual phenomenological dissipator turns out to be fully justified and constitutes an extension of our previous analysis [Scala M. {\em et al.} 2007 Phys. Rev. A {\bf 75}, 013811], where a microscopic derivation was given in the framework of the Rotating Wave Approximation.