Approximate analytical results on the cavity dynamical Casimir effect in the presence of a two-level atom

TL;DR

This paper provides analytical formulas for photon creation in a cavity with a two-level atom due to the dynamical Casimir effect, considering various initial states and regimes, advancing theoretical understanding of quantum field effects.

Contribution

It introduces a method to derive closed-form analytical expressions for photon generation in the dynamical Casimir effect with a two-level atom, covering different regimes and initial states.

Findings

Analytical expressions for photon generation probabilities.

Results applicable to resonant and dispersive regimes.

Enhanced understanding of atom-field interactions in dynamical Casimir effect.

Abstract

We study analytically the photon generation from vacuum due to the Dynamical Casimir effect in a cavity with a two-level atom, prepared initially in an arbitrary pure state. Performing small unitary transformations we obtain closed analytical expressions for the probability amplitudes and other important quantities in the resonant/dispersive regimes.