A simple model for the dynamical Casimir effect for a static mirror with time-dependent properties

Abstract

We consider a real massless scalar field in 1+1 dimensions satisfying time-dependent Robin boundary condition at a static wall. This condition can simulate moving reflecting mirrors whose motions are determined by the time-dependence of the Robin parameter. We show that particles can be created from vacuum, characterizing in this way a dynamical Casimir effect.

7 pages and 3 figures. Minor corrections made throughout the paper

References in corpus (13)

• Numerical methods for computing Casimir interactions
• Current status of the Dynamical Casimir Effect
• The dynamical Casimir effect in superconducting microwave circuits
• Photon generation in an electromagnetic cavity with a time-dependent boundary
• A novel experimental approach for the detection of the dynamic Casimir effect
• Fluctuations, dissipation and the dynamical Casimir effect
• Casimir Effect and Global Theory of Boundary Conditions
• Particle Creation by a Moving Boundary with Robin Boundary Condition
• Vacuum Boundary Effects
• Quantum radiation force on a moving mirror with Dirichlet and Neumann boundary conditions at vacuum, finite temperature and coherent states
• Modelling superradiant amplification of Casimir photons in very low dissipation cavities
• Exact closed form analytical solutions for vibrating cavities
• Vacuum Structure and Boundary Renormalization Group

Cited by in corpus (19)

• Nonclassical microwave radiation from the dynamical Casimir effect
• Observation of broadband entanglement in microwave radiation from a single time-varying boundary condition
• Vacuum fluctuations and generalized boundary conditions
• Inhibition of the dynamical Casimir effect with Robin boundary conditions
• New signatures of the dynamical Casimir effect in a superconducting circuit
• Theory of the Robin quantum wall in a linear potential. I. Energy spectrum, polarization and quantum-information measures
• Dynamical Casimir effect with $\delta -{\delta }^{\prime }$ mirrors
• Superconducting circuit boundary conditions beyond the Dynamical Casimir Effect
• Dynamical Casimir effect in superconducting circuits: a numerical approach
• Dynamical scaling symmetry and asymptotic quantum correlations for time-dependent scalar fields
• Time-dependent Robin boundary conditions in the dynamical Casimir effect
• Effective action for delta potentials: spacetime-dependent inhomogeneities and Casimir self-energy
• Quantum information measures of the one-dimensional Robin quantum well
• Boundary Conditions as Dynamical Fields
• Local Neumann semitransparent layers: resummation, pair production and duality
• Relativistic bands in the spectrum of created particles via dynamical Casimir effect
• Dynamical Casimir effect enhanced by decreasing the mirror reflectivity
• Perturbative approach to Dynamical Casimir effect in an interface of dielectric mediums
• Propelling force from asymmetrically excited quantum vacuum with conventional mirrors