Quantum dissipative effects for a real scalar field coupled to a time-dependent Dirichlet surface in d+1 dimensions

Abstract

We study the Dynamical Casimir Effect (DCE) for a real scalar field $\ddot{I}†$ in $d+1$ dimensions, in the presence of a mirror that imposes Dirichlet boundary conditions and undergoes time-dependent motion or deformation. Using a perturbative approach, we expand in powers of the deviation of the mirror's surface $\hat{I}\pounds$ from a hyperplane, up to fourth order. General expressions for the probability of pair creation induced by motion are derived, and we analyze the impact of space-time dimensionality as well as of the non-linear effects introduced by the fourth-order terms.

21 pages, 6 figures, LaTeX Added reference, one corrected figure