Relativistic bands in the discrete spectrum of created particles in an oscillating cavity

Abstract

We investigate the dynamical Casimir effect for a one-dimensional resonant cavity, with one oscillating mirror. Specifically, we study the discrete spectrum of created particles in a region of frequencies above the oscillation frequency ${\omega }_0$ of the mirror. We focus our investigation on an oscillation time equal to $2L_0/c$, where $L_0$ is the initial and final length of the cavity, and $c$ is the speed of light. For this oscillation duration, a field mode, after perturbed by the moving mirror, never meets this mirror in motion again, which allows us to exclude this effect of re-interaction on the particle creation process. Then, we describe the evolution of the particle creation with frequencies above ${\omega }_0$ only as a function of the relativistic aspect of the mirror's velocity. In other words, we analyze the formation of relativistic bands in a discrete spectrum of created particles.

arXiv comment8 pages, 9 figures

References in corpus (23)

• Observation of the Dynamical Casimir Effect in a Superconducting Circuit
• Dynamical Casimir effect in a Josephson metamaterial
• The dynamical Casimir effect in a superconducting coplanar waveguide
• Motion Induced Radiation from a Vibrating Cavity
• Current status of the Dynamical Casimir Effect
• A novel experimental approach for the detection of the dynamic Casimir effect
• Detectability of dissipative motion in quantum vacuum via superradiance
• Emission of photon pairs by mechanical stimulation of the squeezed vacuum
• Fluctuations, dissipation and the dynamical Casimir effect
• Analogue Casimir Radiation using an Optical Para- metric Oscillator
• Controllable generation of photons and phonons in a coupled BEC-optomechanical-cavity via the parametric dynamical Casimir effect
• Frequency up-converted radiation from a cavity moving in vacuum
• Observation of broadband entanglement in microwave radiation from a single time-varying boundary condition
• Mechanical back-reaction effect of the dynamical Casimir emission
• Vibrating Cavities - A numerical approach
• An analogue model for controllable Casimir radiation in a nonlinear cavity with amplitude-modulated pumping: Generation and quantum statistical properties
• Numerical approach to the dynamical Casimir effect
• Electro-mechanical Casimir effect
• Modelling superradiant amplification of Casimir photons in very low dissipation cavities
• Dynamical Casimir effect in superconducting circuits: a numerical approach
• Numerical approach to simulating interference phenomena in a two-oscillating mirrors cavity
• Quantum Energy in a Vibrating Cavity
• Relativistic bands in the spectrum of created particles via dynamical Casimir effect

Cited by in corpus (2)

• Hawking radiation particle spectrum of a Kerr-Newman black hole
• Möbius Mirrors