Dynamical Casimir Effect in a small compact manifold for the Maxwell vacuum

Abstract

We study novel type of contributions to the partition function of the Maxwell system defined on a small compact manifold $\mathbb{M}$ such as torus. These new terms can not be described in terms of the physical propagating photons with two transverse polarizations. Rather, these novel contributions emerge as a result of tunnelling events when transitions occur between topologically different but physically identical vacuum winding states. These new terms give an extra contribution to the Casimir pressure, yet to be measured. We argue that if the same system is considered in the background of a small external time-dependent magnetic field, than there will be emission of photons from the vacuum, similar to the Dynamical Casimir Effect (DCE) when real particles are radiated from the vacuum due to the time-dependent boundary conditions. The difference with conventional DCE is that the dynamics of the vacuum in our system is not related to the fluctuations of the conventional degrees of freedom, the virtual photons. Rather, the radiation in our case occurs as a result of tunnelling events between topologically different but physically identical $|k>$ sectors in a time -dependent background. We comment on relation of this novel effect with the well-known, experimentally observed, and theoretically understood phenomena of the persistent currents in normal metal rings. We also comment on possible cosmological applications of this effect.

arXiv comment12 pages. arXiv admin note: text overlap with arXiv:1407.3804

References in corpus (16)

• Generalized Global Symmetries
• Observation of the Dynamical Casimir Effect in a Superconducting Circuit
• The `Friction' of Vacuum, and other Fluctuation-Induced Forces
• Dynamical Casimir effect in a Josephson metamaterial
• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• Topological BF field theory description of topological insulators
• Topological Susceptibility and Contact Term in QCD. A Toy Model
• Geometrical and topological aspects of graphene and related materials
• QCD as a topologically ordered system
• Topological Casimir effect in Maxwell Electrodynamics on a Compact Manifold
• Aharonov-Bohm Effect at liquid-nitrogen temperature: Frohlich superconducting quantum device
• Inflaton as an auxiliary topological field in a QCD-like system
• Metastable vacuum decay and $\theta$ dependence in gauge theory. Deformed QCD as a toy model
• Maxwell Theory on a Compact Manifold as a Topologically Ordered System
• Cosmological perturbations in \bar{QCD}- inflation. Estimates confronting the observations, including BICEP2
• Topological order and Berry connection for the Maxwell Vacuum on a four-torus

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