Enhancement of photon creation through the pseudo-Hermitian dynamical Casimir effect

Abstract

We analyse here the pseudo-Hermitian Dynamical Casimir effect, proposing a non-Hermitian version of the effective Law's Hamiltonian used to describe the phenomenon. We verify that the average number of created photons can be substantially increased, a result which calls the attention to the possibility of engineering the time-dependent non-Hermitian Hamiltonian we have assumed. Given the well-known difficulty in detecting the Casimir photon production, the present result reinforces the importance of pseudo-Hermitian quantum mechanics as a new chapter of quantum theory and an important tool for the amplification of Hermitian processes such as the degree of squeezing of quantum states.