Number of particle creation and decoherence in the nonideal dynamical Casimir effect at finite temperature

TL;DR

This paper derives general formulas for particle creation and decoherence in a nonideal cavity undergoing arbitrary boundary motions, analyzing resonances and decoherence times at finite temperature in the dynamical Casimir effect.

Contribution

It provides the first general expressions for particle number and linear entropy for any cavity boundary law, including resonance analysis and decoherence time estimates.

Findings

Resonances significantly enhance particle creation.

Decoherence times are estimated based on resonance conditions.

Nonideal cavity effects are incorporated into the dynamical Casimir framework.

Abstract

In this work we investigate the dynamical Casimir effect in a nonideal cavity by deriving an effective Hamiltonian. We first compute a general expression for the average number of particle creation, applicable for any law of motion of the cavity boundary. We also compute a general expression for the linear entropy of an arbitrary state prepared in a selected mode, also applicable for any law of motion of the cavity boundary. As an application of our results we have analyzed both the average number of particle creation and linear entropy within a particular oscillatory motion of the cavity boundary. On the basis of these expressions we develop a comprehensive analysis of the resonances in the number of particle creation in the nonideal dynamical Casimir effect. We also demonstrate the occurrence of resonances in the loss of purity of the initial state and estimate the decoherence times associated with these resonances.