Production of the Asymmetric Dynamical Casimir Effect Due to Time Dependent Delta Derivatives and Time Dependent Asymmetric Robin Boundaries

The imposition of asymmetric boundrary conditions on a fluctuation mirror result in the production of an asymmetric (between the sides of the mirror) spectrum of particles. This is the asymmetric dynamical Casimir effect (ADCE). Here we present a novel form of producing this effect in a (1+1)D δ-δ' model by modifying the coefficient of the δ' term to be time dependent. We see this modification leads asymmetric spectra similar to those seen by the typical modification of the plasma frequency, leading to the same induced motion identified in other systems undergoing the ACDE. We also examine the production of the ADCE due to the introduction of time asymmetry into a time dependent Robin boundary. This also leads to an asymmetric production of particles on either side of the boundary, with resulting induced motion.