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

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

1997-06-03

arxiv.org/abs/quant-ph/9706007v2

Phys.Rev. A56 (1997) 4440-4444

Physics

Quantum Physics

15 pages, RevTeX, no figures

Scientific paper

10.1103/PhysRevA.56.4440

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 $n \omega_1 (n=1,2,3,...)$ which is a generalization of other works considering only $2 \omega_1$, where $\omega_1$ 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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