Time-dependent Robin boundary conditions in the dynamical Casimir effect
C. Farina, Hector O. Silva, Andreson L. C. Rego, Danilo T. Alves

TL;DR
This paper investigates how time-dependent Robin boundary conditions at a static mirror influence particle creation in the dynamical Casimir effect, providing spectral and rate calculations for thermal initial states.
Contribution
It introduces a perturbative model for a massless scalar field with time-dependent Robin BCs, analyzing particle creation in a static boundary setup.
Findings
Derived spectral distribution of created particles.
Calculated total particle creation rate.
Analyzed effects of initial thermal states.
Abstract
Motivated by experiments in which moving boundaries are simulated by time-dependent properties of static systems, we discuss the model of a massless scalar field submitted to a time-dependent Robin boundary condition (BC) at a static mirror in 1+1 dimensions. Using a perturbative approach, we compute the spectral distribution of the created particles and the total particle creation rate, considering a thermal state as the initial field state.
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