Relativistic bands in the spectrum of created particles via dynamical Casimir effect

Abstract

We present a general analytical approach to investigate relativistic corrections in the dynamical Casimir effect (DCE). Particularly, we discuss the behavior of the additional frequency bands that appear in the spectral distribution of the created particles when the first relativistic corrections are taken into account. We do that in the context of circuit QED, by analyzing the setup used in the first measurement of the DCE, where a system with a time-dependent boundary condition simulates the mechanical motion of a single mirror in 1+1 dimensions. Our method is applicable to a large class of systems with oscillatory time-dependent parameters and can be generalized to higher dimensions and other fields.

11 pages, 4 figures

References in corpus (4)

• The dynamical Casimir effect in superconducting microwave circuits
• A novel experimental approach for the detection of the dynamic Casimir effect
• Particle Creation by a Moving Boundary with Robin Boundary Condition
• Inhibition of the dynamical Casimir effect with Robin boundary conditions

Cited by in corpus (4)

• Superconducting circuit boundary conditions beyond the Dynamical Casimir Effect
• Smooth and sharp creation of a Dirichlet wall in 1+1 quantum field theory: how singular is the sharp creation limit?
• Boundary Conditions as Dynamical Fields
• Relativistic bands in the discrete spectrum of created particles in an oscillating cavity