Vacuum fluctuations and generalized boundary conditions

Abstract

We present a study of the static and dynamical Casimir effects for a quantum field theory satisfying generalized Robin boundary condition, of a kind that arises naturally within the context of quantum circuits. Since those conditions may also be relevant to measurements of the dynamical Casimir effect, we evaluate their role in the concrete example of a real scalar field in 1+1 dimensions, a system which has a well-known mechanical analogue involving a loaded string.

8 pages, 1 figure

References in corpus (4)

• Current status of the Dynamical Casimir Effect
• The dynamical Casimir effect in superconducting microwave circuits
• Parametric resonance in tunable superconducting cavities
• Inhibition of the dynamical Casimir effect with Robin boundary conditions

Cited by in corpus (16)

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• Microscopic toy model for Cavity dynamical Casimir effect
• New signatures of the dynamical Casimir effect in a superconducting circuit
• Superconducting circuit boundary conditions beyond the Dynamical Casimir Effect
• The quantum Otto cycle in a superconducting cavity in the non-adiabatic regime
• Dynamical Casimir effect in superconducting circuits: a numerical approach
• Dynamical Casimir effect in a double tunable superconducting circuit
• Quantum field theory with dynamical boundary conditions and the Casimir effect: Coherent states
• Boundary Conditions as Dynamical Fields
• Casimir force between $\delta -{\delta }^{\prime }$ mirrors transparent at high frequencies
• A short review of the Casimir effect with emphasis on dynamical boundary conditions
• Relativistic bands in the spectrum of created particles via dynamical Casimir effect
• Dynamical Casimir effect enhanced by decreasing the mirror reflectivity
• Photon generation and entanglement in a double superconducting cavity
• From Ramanujan to renormalization: the art of doing away with divergences and arriving at physical results
• Propelling force from asymmetrically excited quantum vacuum with conventional mirrors