scholarly journals CaPS: Casimir Effect in the Plane-Sphere Geometry

2020 ◽  
Vol 5 (45) ◽  
pp. 2011
Author(s):  
Michael Hartmann ◽  
Gert-Ludwig Ingold
Keyword(s):  
Casimir Effect ◽  
Sphere Geometry

scholarly journals Thermal Casimir effect for Drude metals in the plane-sphere geometry

2010 ◽  
Vol 82 (1) ◽  
Author(s):  
Antoine Canaguier-Durand ◽  
Paulo A. Maia Neto ◽  
Astrid Lambrecht ◽  
Serge Reynaud
Keyword(s):  
Casimir Effect ◽  
Sphere Geometry

scholarly journals Thermal Casimir Effect in the Plane-Sphere Geometry

2010 ◽  
Vol 104 (4) ◽  
Author(s):  
Antoine Canaguier-Durand ◽  
Paulo A. Maia Neto ◽  
Astrid Lambrecht ◽  
Serge Reynaud
Keyword(s):  
Casimir Effect ◽  
Sphere Geometry

Erratum: Thermal Casimir effect for Drude metals in the plane-sphere geometry [Phys. Rev. A82, 012511 (2010)]

2011 ◽  
Vol 83 (3) ◽  
Author(s):  
Antoine Canaguier-Durand ◽  
Paulo A. Maia Neto ◽  
Astrid Lambrecht ◽  
Serge Reynaud
Keyword(s):  
Casimir Effect ◽  
Sphere Geometry

scholarly journals Casimir Effect in the Scattering Approach: Correlations Between Material Properties, Temperature and Geometry

2011 ◽  
pp. 97-127 ◽  
Author(s):  
Astrid Lambrecht ◽  
Antoine Canaguier-Durand ◽  
Romain Guérout ◽  
Serge Reynaud
Keyword(s):  
Material Properties ◽  
Casimir Effect

CASIMIR EFFECT FOR THE ROBIN SURFACES IN STATIC ROBERTSON–WALKER SPACE–TIME

2011 ◽  
Vol 20 (02) ◽  
pp. 161-168 ◽  
Author(s):  
MOHAMMAD R. SETARE ◽  
M. DEHGHANI
Keyword(s):  
Scalar Field ◽  
Energy Momentum Tensor ◽  
Casimir Effect ◽  
Vacuum Expectation ◽  
Robin Boundary Condition ◽  
Momentum Tensor ◽  
Space Time ◽  
Conformally Invariant ◽  
Time Space ◽  
Robin Boundary

We investigate the energy–momentum tensor for a massless conformally coupled scalar field in the region between two curved surfaces in k = -1 static Robertson–Walker space–time. We assume that the scalar field satisfies the Robin boundary condition on the surfaces. Robertson–Walker space–time space is conformally related to Rindler space; as a result we can obtain vacuum expectation values of the energy–momentum tensor for a conformally invariant field in Robertson–Walker space–time space from the corresponding Rindler counterpart by the conformal transformation.

scholarly journals Shaping Dynamical Casimir Photons

Universe ◽  
2021 ◽  
Vol 7 (6) ◽  
pp. 189
Author(s):  
Diego A. R. Dalvit ◽  
Wilton J. M. Kort-Kamp
Keyword(s):  
Optical Properties ◽  
Lattice Structure ◽  
Casimir Effect ◽  
Surface Profile ◽  
Microscopic Theory ◽  
Space Time ◽  
Quantum Vacuum ◽  
Dynamical Casimir Effect ◽  
Photon Pairs ◽  
Time Quantum

Temporal modulation of the quantum vacuum through fast motion of a neutral body or fast changes of its optical properties is known to promote virtual into real photons, the so-called dynamical Casimir effect. Empowering modulation protocols with spatial control could enable the shaping of spectral, spatial, spin, and entanglement properties of the emitted photon pairs. Space–time quantum metasurfaces have been proposed as a platform to realize this physics via modulation of their optical properties. Here, we report the mechanical analog of this phenomenon by considering systems in which the lattice structure undergoes modulation in space and in time. We develop a microscopic theory that applies both to moving mirrors with a modulated surface profile and atomic array meta-mirrors with perturbed lattice configuration. Spatiotemporal modulation enables motion-induced generation of co- and cross-polarized photon pairs that feature frequency-linear momentum entanglement as well as vortex photon pairs featuring frequency-angular momentum entanglement. The proposed space–time dynamical Casimir effect can be interpreted as induced dynamical asymmetry in the quantum vacuum.

scholarly journals Modular invariance in finite temperature Casimir effect

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Francesco Alessio ◽  
Glenn Barnich
Keyword(s):  
Partition Function ◽  
Chemical Potential ◽  
Casimir Effect ◽  
Temperature Inversion ◽  
Massless Scalar ◽  
Partition Functions ◽  
Parallel Plates ◽  
Modular Transformations ◽  
Real Analytic ◽  
Set Up

Abstract The temperature inversion symmetry of the partition function of the electromagnetic field in the set-up of the Casimir effect is extended to full modular transformations by turning on a purely imaginary chemical potential for adapted spin angular momentum. The extended partition function is expressed in terms of a real analytic Eisenstein series. These results become transparent after explicitly showing equivalence of the partition functions for Maxwell’s theory between perfectly conducting parallel plates and for a massless scalar with periodic boundary conditions.

scholarly journals Casimir effect for lattice fermions

2020 ◽  
Vol 809 ◽  
pp. 135713
Author(s):  
Tsutomu Ishikawa ◽  
Katsumasa Nakayama ◽  
Kei Suzuki
Keyword(s):  
Casimir Effect ◽  
Lattice Fermions

scholarly journals Casimir effect for a massive scalar field under mixed boundary conditions

2003 ◽  
Vol 33 (4) ◽  
pp. 860-866 ◽  
Author(s):  
A.C. Aguiar Pinto ◽  
T.M. Britto ◽  
R. Bunchaft ◽  
F. Pascoal ◽  
F.S.S. da Rosa
Keyword(s):  
Scalar Field ◽  
Boundary Conditions ◽  
Mixed Boundary ◽  
Casimir Effect ◽  
Mixed Boundary Conditions ◽  
Massive Scalar ◽  
Massive Scalar Field
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