Hyun-Hee Jung | Searcharxiv

arXiv1997

Interference phenomena in the photon production between two oscillating walls

We study the photon production in a 1D cavity whose left and right walls oscillate with the frequency $Ω_{L} $ and $Ω_{R} $, respectively. For $Ω_{L} \neq Ω_{R}, $ the number of generated photons by the parametric resonance is the sum of the photon numbers produced when the left and the right wall oscillates separately. But for $Ω_{L} = Ω_{R} $, the interference term proportional to $\cos ϕ$ is found additionally, where $ϕ$ is the phase difference between two oscillations of the walls.

quant-ph↗

arXiv1997

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

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.

quant-ph↗