Microscopic approach to field dissipation in the Jaynes-Cummings model

TL;DR

This paper derives a microscopic master equation for the Jaynes-Cummings model with field losses, analyzing how detuning and temperature affect decay dynamics and equilibrium states beyond single-excitation regimes.

Contribution

It introduces a microscopic derivation of the Jaynes-Cummings master equation that accounts for field losses, detuning, and temperature effects on the system's dynamics.

Findings

Detuning and temperature modify the effective decay rate.

Microscopic approach yields smoother thermalization in phase space.

Entropy measures reveal changes in system purity and entropy.

Abstract

We use the microscopic derivation of the Jaynes-Cummings model master equation under field losses to study the dynamics of initial field states beyond the single-excitation manifold. We show that field-qubit detuning, as well as finite temperature, modify the effective decay rate in the model using entropy measures, like qubit-field purity and von Neumann entropy of the field, for initial Fock states. For initial semi-classical states of the field, we show that the microscopic approach, in phase space, provides an evolution to thermal equilibrium that is smoother than the one provided by the standard phenomenological approach.