Photon generation through decoherence in cavity QED: analytical analysis

TL;DR

This paper provides analytical insights into photon generation caused by decoherence in cavity QED systems, highlighting the role of anti-rotating terms and Markovian reservoirs in photon production.

Contribution

It derives approximate analytical formulas for photon creation and atomic population in cavity QED under decoherence, validated by numerical analysis.

Findings

Photon generation occurs due to anti-rotating terms in the presence of decoherence.

Analytical expressions match numerical results in the small photon number limit.

Asymptotic mean photon number exceeds thermal expectation under damping reservoirs.

Abstract

The Rabi Hamiltonian describes the interaction between a two-level atom and a single mode of the quantized electromagnetic field. When the system is subject to the Markovian atomic dephasing reservoir, the anti-rotating term leads to the photon generation from vacuum. In the presence of Markovian damping reservoirs, the asymptotic mean photon number is higher than the thermal photon number expected in the absence of the anti-rotating term. We obtain approximate analytical expressions in the asymptotic regime for the photon creation rate in the pure dephasing case and the mean photon number and the atomic population inversion in the general case. Our analytical results are valid in the small mean photon number limit and they were tested by numerical analyses.