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Production of photons by the parametric resonance in the dynamical Casimir effect

Jeong-Young Ji·Hyun-Hee Jung·Jong-Woong Park·Kwang-Sup Soh
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Abstract

We calculate the number of photons produced by the parametric resonance in a cavity with vibrating walls. We consider the case that the frequency of vibrating wall is $n ω_1 (n=1,2,3,...)$ which is a generalization of other works considering only $2 ω_1$, where $ω_1$ is the fundamental-mode frequency of the electromagnetic field in the cavity. For the calculation of time-evolution of quantum fields, we introduce a new method which is borrowed from the time-dependent perturbation theory of the usual quantum mechanics. This perturbation method makes it possible to calculate the photon number for any $n$ and to observe clearly the effect of the parametric resonance.

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Jeong-Young Ji, Hyun-Hee Jung, Jong-Woong Park, Kwang-Sup Soh. 1997-07-14. Production of photons by the parametric resonance in the dynamical Casimir effect. https://doi.org/10.1103/physreva.56.4440

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