Quantum field theory with dynamical boundary conditions and the Casimir effect: Coherent states

Abstract

We have studied in a previous work the quantization of a mixed bulk-boundary system describing the coupled dynamics between a bulk quantum field confined to a spacetime with finite space slice and with timelike boundary, and a boundary observable defined on the boundary. Our bulk system is a quantum field in a spacetime with timelike boundary and a dynamical boundary condition-the boundary observable's equation of motion. Owing to important physical motivations, in such previous work we have computed the renormalized local state polarization and local Casimir energy for both the bulk quantum field and the boundary observable in the ground state and in a Gibbs state at finite, positive temperature. In this work, we introduce an appropriate notion of coherent and thermal coherent states for this mixed bulk-boundary system, and extend our previous study of the renormalized local state polarization and local Casimir energy to coherent and thermal coherent states. We also present numerical results for the integrated Casimir energy and for the Casimir force.

arXiv commentThe paper has been edited. New numerical results have been added in Section 5

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Cited by in corpus (6)

• Ground State for the Klein-Gordon field in anti-de Sitter spacetime with dynamical Wentzell boundary conditions
• A short review of the Casimir effect with emphasis on dynamical boundary conditions
• Dynamical Casimir effect with screened scalar fields
• Renormalisation in maximally symmetric spaces and semiclassical gravity in Anti-de Sitter spacetime
• Particles in finite volumes and a toy model of decaying neutrons
• From Ramanujan to renormalization: the art of doing away with divergences and arriving at physical results