Multi-mode Jaynes-Cummings model results for the collapse and the revival of the quantum Rabi oscillations in a lossy resonant cavity

TL;DR

This paper presents numerical analysis of the collapse and revival of quantum Rabi oscillations in a lossy cavity using a multimode Jaynes-Cummings model, incorporating various loss mechanisms and comparing with experimental data.

Contribution

It introduces a comprehensive multimode Jaynes-Cummings model that accounts for Ohmic loss, leakage, and spontaneous emission in analyzing quantum Rabi oscillations.

Findings

Numerical results match experimental observations of collapse and revival.

Loss mechanisms significantly affect the dynamics of Rabi oscillations.

The model provides insights into decoherence effects in cavity QED systems.

Abstract

We have numerically obtained theoretical results for the collapse and the revival of the quantum Rabi oscillations for low average number of coherent photons injected on a two-level system in a lossy resonant cavity. We have adopted the multimode Jaynes-Cummings model for the same and especially treated the ``Ohmic" loss to the walls of the cavity, the leakage from the cavity, and the loss due to the spontaneous emission through the open surface of the cavity. We have compared our results with the experimental data obtained by Brune et al [Phys. Rev. Lett. 76, 1800 (1996)] in this regard.