Dynamical Casimir effect in superconducting circuits: A numerical approach

F. LOMBARDO; F. MAZZITELLI; A. SOBA; P. VILLAR

PHYSICAL REVIEW A - ATOMIC, MOLECULAR AND OPTICAL PHYSICS

AMER PHYSICAL SOC

Lugar: New York; Año: 2016 vol. 93

1050-2947

We present a numerical analysis of the particle creation for a quantum eld in the presence of timedependent boundary conditions. Having in mind recent experiments involving superconductingcircuits, we consider their description in terms of a scalar eld in a one dimensional cavity satisfyinggeneralized boundary conditions that involve a time-dependent linear combination of the eld andits spatial and time derivatives. We evaluate numerically the Bogoliubov transformation betweenin and out-states and nd that the rate of particle production strongly depends on whether thespectrum of the unperturbed cavity is equidistant or not, and also on the amplitude of the temporaloscillations of the boundary conditions. We provide analytic justications for the dierent regimesfound numerically.