A Scattering Approach to the Dynamical Casimir Effect

Abstract

We develop a unified scattering approach to dynamical Casimir problems which can be applied to both accelerating boundaries, as well as dispersive objects in relative motion. A general (trace) formula is derived for the radiation from accelerating boundaries. Applications are provided for objects with different shapes in various dimensions, and undergoing rotational or linear motion. Within this framework, photon generation is discussed in the context of a modulated optical mirror. For dispersive objects, we find general results solely in terms of the scattering matrix. Specifically, we discuss the vacuum friction on a rotating object, and the friction on an atom moving parallel to a surface.

References added

References in corpus (28)

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Cited by in corpus (34)

• Non-perturbative Dynamical Casimir Effect in Optomechanical Systems: Vacuum Casimir-Rabi Splittings
• Quantum friction and fluctuation theorems
• Space-Time Quantum Metasurfaces
• The Reality of Casimir Friction
• Quantum Cherenkov Radiation and Non-contact Friction
• Wave Instabilities and Unidirectional Light Flow in a Cavity with Rotating Walls
• Optomechanical Rydberg-atom excitation via dynamic Casimir-Polder coupling
• Microscopic dynamical Casimir effect
• Fluctuational electrodynamics of hyperbolic metamaterials
• Linear response relations in fluctuational electrodynamics
• Negative spontaneous emission by a moving two-level atom
• Nonequilibrium quantum fluctuations of a dispersive medium: Spontaneous emission, photon statistics, entropy generation, and stochastic motion
• The Casimir frictional drag force between a SiO2 tip and a graphene-covered SiO2 substrate
• Magnetically Activated Rotational Vacuum Friction
• Circular Dichroism in Rotating Particles
• Giant non-equilibrium vacuum friction: Role of singular evanescent wave resonances in moving media
• Control of the Radiative Heat Transfer in a Pair of Rotating Nanostructures
• Dynamical Casimir effect with $\delta -{\delta }^{\prime }$ mirrors
• Nonadditive Enhancement of Nonequilibrium Atom-Surface Interactions
• Dynamical Casimir effect for semitransparent mirrors
• Blackbody friction force on a relativistic small neutral particle
• Particle Production by a Relativistic Semi-Transparent Mirror in 1+3D Minkowski Spacetime
• Quantum Vavilov-Cherenkov radiation from a small neutral particle moving parallel to a transparent dielectric plate
• Accounting for dissipation in the scattering approach to the Casimir energy
• Dynamical Casimir effects with atoms: from the emission of photon pairs to geometric phases
• Casimir forces and quantum friction of finite-size atoms in relativistic trajectories
• The normal Casimir force for lateral moving planes with isotropic conductivities
• Quantum Vavilov-Cherenkov radiation from shearing two transparent dielectric plates
• Casimir-Lifshitz force for moving graphene
• Quantum light propagation in a uniformly moving dissipative slab
• Singular evanescent wave resonances
• Quantum dissipative effects in graphene-like mirrors
• Vacuum fluctuation effects due to an Abelian gauge field in 2+1 dimensions, in the presence of moving mirrors
• Propelling force from asymmetrically excited quantum vacuum with conventional mirrors