2020/08/31 by Benito A. Juárez-Aubry, Ricardo Weder · 1 citation
Mathematics · Physics and Astronomy · #Boundary (topology) #Boundary value problem #Casimir effect #Classical mechanics #Coherent states #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Observable #Physics #Quantization (signal processing) #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum field theory #Quantum mechanics #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8121/abdccf
published as J.Phys. A: Math. Theor. vol 54, number 10, 105203 (2021) · The paper has been edited. New numerical results have been added in Section 5
openalex created_date 2020/08/13 · openalex publication_date 2021/01/18 · arxiv created 2021/03/10 · arxiv updated 2021/03/12 · openalex updated_date 2026/08/05
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.