Nonstationary Casimir effect in cavities with two resonantly coupled modes

Abstract

We study the peculiarities of the nonstationary Casimir effect (creation of photons in cavities with moving boundaries) in the special case of two resonantly coupled modes with frequencies ω 0 and (3 + ∆)ω 0 , parametrically excited due to small amplitude oscillations of the ideal cavity wall at the frequency 2ω 0 (1 + δ) (with |δ|, |∆| ≪ 1). The effects of thermally induced oscillations in time dependences of the mean numbers of created photons and the exchange of quantum purities between the modes are discovered. Squeezing and photon distributions in each modes are calculated for initial vacuum and thermal states. A possibility of compensation of detunings is shown.

Photon generation from vacuum in nondegenerate cavities with regular and random periodic displacements of boundaries

“…This results in great simplifications in the resonant case, when periodic motion of the boundary excites only one resonant mode, whereas the response of all other modes can be neglected in the long-time limit [13]. Therefore, we confine ourselves here to this simplest case (interesting phenomena which could occur in cavities with few accidentally resonant modes, when the ratio of their unperturbed eigenfrequencies is integral number due to some additional symmetry, were considered recently in [25,26,29]). …”

Dynamical Casimir effect in a leaky cavity at finite temperature

“…For a review of detuning effects see e.g. [12,7,8]. It has been shown in the literature that there exist threshold values for the detuning, above which the exponential creation of particles disappears.…”

“…However, if one considers such a variance it is only consequent to include a possible discrepancy of the coupling resonance as well, cf. [8] …”

Numerical approach to the dynamical Casimir effect

“…The energy for this process is provided by the energy which has to be given to the system from outside to maintain the motion of the mirror against the radiation reaction force [19,20,21,22]. The more realistic case of a threedimensional cavity is studied in [22,23,24,25,26,27,28,29]. Field quantization inside cavities with non-perfect boundary conditions has been investigated in, e.g., [30,31] and corrections due to finite temperature effects are treated in [32,33,34].…”