Jaynes-Cummings model:Counter rotating effect on the vacuum Rabi splitting and atom-cavity dynamics

TL;DR

This paper investigates how counter-rotating terms affect the Jaynes-Cummings model, revealing significant modifications in vacuum Rabi splitting and atom-cavity dynamics across different coupling regimes.

Contribution

It introduces an extended coherent-state approach to analyze the impact of counter-rotating terms, highlighting their effects on spectral features and atomic population evolution.

Findings

Counter-rotating terms alter vacuum Rabi splitting significantly.

Multiple peaks appear in the emission spectrum depending on coupling strength.

Collapse and revival phenomena depend on the coupling regime.

Abstract

he effect of the counter-rotating terms in the Jaynes-Cummings model is investigated with an extended coherent-state approach. The counter-rotating terms greatly modify the vacuum Rabi splitting. Two peaks with different heights in the weak coupling regime and more than two peaks in the intermediate coupling regime are predicted. The collapses and revivals in the evolution of the atomic population inversion disappear in the intermediate coupling regime, but reappear in the strong coupling regime. This reappearance is similar to that under the rotating-wave approximation, attributed to the summation of periodic cosine functions of the evolution.