632 research outputs found
Superconducting circuit boundary conditions beyond the Dynamical Casimir Effect
We study analytically the time-dependent boundary conditions of
superconducting microwave circuit experiments in the high plasma frequency
limit, in which the conditions are Robin-type and relate the value of the field
to the spatial derivative of the field. We give an explicit solution to the
field evolution for boundary condition modulations that are small in magnitude
but may have arbitrary time dependence, in a formalism that applies both to a
semiopen waveguide and to a closed waveguide with two independently adjustable
boundaries. The correspondence between the microwave Robin boundary conditions
and the mechanically-moving Dirichlet boundary conditions of the Dynamical
Casimir Effect is shown to break down at high field frequencies, approximately
one order of magnitude above the frequencies probed in the 2011 experiment of
Wilson et al. Our results bound the parameter regime in which a microwave
circuit can be used to model relativistic effects in a mechanically-moving
cavity, and they show that beyond this parameter regime moving mirrors produce
more particles and generate more entanglement than their non-moving microwave
waveguide simulations.Comment: 29 pages, 2 figures. v3: minor updates, including a change in the
title. Published versio
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