Dynamical Casimir effect in a Kerr Cavity

TL;DR

This paper investigates how Kerr nonlinearities influence the dynamical Casimir effect in a cavity, revealing photon generation saturation and oscillations, with implications for experimental setups involving nonlinear media.

Contribution

It provides approximate analytical expressions for the evolution operator and photon number, highlighting the impact of Kerr media on vacuum photon creation in dynamical Casimir experiments.

Findings

Photon generation is strongly affected by Kerr nonlinearity.

Saturation effects and oscillations increase with nonlinear medium intensity.

Results are relevant for experimental studies involving Kerr nonlinearities.

Abstract

We study the dynamical Casimir effect in an electromagnetic cavity containing a Kerr medium. We obtain approximate expressions for the time evolution operator as well as for the number operator in the Heisenberg representation. We have found that the generation of photons from quantum vacuum is strongly affected by the presence of the Kerr medium, sharing physical features with the case of two two-level atoms in a cavity with oscillating walls. The nonlinear medium produces a saturation effect in the photon generation which shows strong oscillations whose frequency increases with the intensity of the nonlinear medium. We expect that these results could be relevant for any experimental study involving the dynamical Casimir effect that is willing to incorporate Kerr nonlinearities.