Dynamical Casimir effect in a leaky cavity at finite temperature

A massless scalar quantum field inside a leaky cavity modeled by means of a dispersive mirror was addressed. For the case of the lossy cavity vibrating at twice the fundamental resonance frequency, an effective Hamiltonian was derived using the rotating-wave approximation. Within the framework of response theory, the magnitude of particle creation due to the dynamical Casimir effect was calculated. Furthermore, the corresponding master equation was deduced by applying the Born-Markov approximation. A nonperturbative approach was applied for the explicit calculation of the time evolution starting from the effective Hamiltonian. In general, it was found that all the methods lead to consistent results.