Dynamical Casimir effect in a leaky cavity at finite temperature

Abstract

The phenomenon of particle creation within an almost resonantly vibrating cavity with losses is investigated for the example of a massless scalar field at finite temperature. A leaky cavity is designed via the insertion of a dispersive mirror into a larger ideal cavity (the reservoir). In the case of parametric resonance the rotating wave approximation allows for the construction of an effective Hamiltonian. The number of produced particles is then calculated using response theory as well as a non-perturbative approach. In addition we study the associated master equation and briefly discuss the effects of detuning. The exponential growth of the particle numbers and the strong enhancement at finite temperatures found earlier for ideal cavities turn out to be essentially preserved. The relevance of the results for experimental tests of quantum radiation via the dynamical Casimir effect is addressed. Furthermore the generalization to the electromagnetic field is outlined.

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

“…And, of course, the problem of consistent account of losses in cavities with moving nonideal mirrors must be solved (perhaps, following the lines generalizing the approaches of Refs. [18,28,64]). …”

Action of the gravitational field on the dynamical Casimir effect

“…(25), N k is an oscillatory function in time, except when at least one of the resonance conditions ̟ = ω n,n ′ is satisfied. (Note that the second high-oscillatory term in the RHS of Eq.…”

Numerical approach to the dynamical Casimir effect

“…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]. The question of how the quantum vacuum interacts with the (classical) dynamics of the cavity has been addressed in [12,35,36,37].…”