Accounting for Dissipation in the Scattering Approach to the Casimir Energy

Guérout, R.; Ingold, Gert‐Ludwig; Lambrecht, Astrid; Reynaud, Serge

doi:10.3390/sym10020037

Cited by 6 publications

(4 citation statements)

References 51 publications

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“…The situation in this problem is really challenging. The expression for the Casimir free energy was carefully derived from first principles in case of dissipation using different theoretical approaches including the fluctuation-dissipation theorem [12,[56][57][58][59][60][61]. This means that it should be valid also in the case of the Drude model.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Casimir pressure between metallic plates out of thermal equilibrium: Proposed test for the relaxation properties of free electrons

Mostepanenko

Sedmik

2019

Phys. Rev. A

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We propose a test on the role of relaxation properties of conduction electrons in the Casimir pressure between two parallel metal-coated plates kept at different temperatures. It is shown that for sufficiently thick metallic coatings the Casimir pressure and pressure gradient are determined by the mean of the equilibrium contributions calculated at temperatures of the two plates and by the term independent on separation. Numerical computations of the nonequilibrium pressures are performed for two parallel Au plates of finite thickness as a function of separation and temperature of one of the plates using the plasma and Drude models for extrapolation of the optical data of Au to low frequencies. The obtained results essentially depend on the extrapolation used.Modifications of the CANNEX setup, originally developed to measure the Casimir pressure and pressure gradient in thermal equilibrium, are suggested, which allow different temperatures of one of the plates. Computations of the nonequilibrium pressure and pressure gradient are performed for a realistic experimental configuration. According to our results, even with only a 10 K difference in temperature between the plates, the experiment could discriminate between different theoretical predictions for the total pressure and its gradient, as well as for the contributions to them due to nonequilibrium, at high confidence.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Casimir pressure between metallic plates out of thermal equilibrium: Proposed test for the relaxation properties of free electrons

Mostepanenko

Sedmik

2019

Phys. Rev. A

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“…R S denotes the reflection at the sphere, while R P denotes the reflection at the plane. The Matsubara sum (2) together with (3) holds even if sphere, plane or the medium in between are dissipative [37]. We express the round-trip operator M in the multipole basis | , m, P described by the angular momentum quantum numbers and m ( = 1, 2, .…”

Section: Symmetrization Of the Round-trip Operatormentioning

confidence: 99%

Section: Symmetrization Of the Round-trip Operatormentioning

confidence: 99%

Advancing numerics for the Casimir effect to experimentally relevant aspect ratios

2018

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Within the scattering theoretical approach, the Casimir force is obtained numerically by an evaluation of the round trip of an electromagnetic wave between the objects involved. Recently [Hartmann M et al 2017, Phys. Rev. Lett. 119 043901] it was shown that a symmetrization of the scattering operator provides significant advantages for the numerical evaluation of the Casimir force in the experimentally relevant sphere-plane geometry. Here, we discuss in more detail how the symmetrization modifies the scattering matrix in the multipole basis and how computational time is reduced. As an application, we discuss how the Casimir force in the sphere-plane geometry deviates from the proximity force approximation as a function of the geometric parameters.

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“…This expression is valid not only for the unitary case but also in the presence of dissipative channels [48]. In order to avoid resonances on the real frequency axis, it is convenient to perform a Wick transformation and to express the Casimir energy in terms of imaginary frequencies ξ = −iω.…”

Section: A General Expression For the Casimir Free Energymentioning

confidence: 99%

Casimir effect between spherical objects: proximity-force approximation and beyond using plane waves

Schoger,

Spreng,

Ingold

et al. 2022

Preprint

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For the Casimir interaction between two nearby objects, the plane-wave basis proves convenient for numerical calculations as well as for analytical considerations leading to an optical interpretation of the relevant scattering processes of electromagnetic waves. We review work on the proximity-force approximation and corrections to it within the plane-wave basis for systems involving spherical objects. Previous work is extended by allowing for polarization mixing during the reflection at a sphere. In particular, explicit results are presented for perfect electromagnetic conductors. Furthermore, for perfect electric conductors at zero temperature, it is demonstrated that beyond the leading-order correction to the proximity-force approximation, terms of half-integer order in the distance between the sphere surfaces appear.

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Accounting for Dissipation in the Scattering Approach to the Casimir Energy

Cited by 6 publications

References 51 publications

Casimir pressure between metallic plates out of thermal equilibrium: Proposed test for the relaxation properties of free electrons

Casimir pressure between metallic plates out of thermal equilibrium: Proposed test for the relaxation properties of free electrons

Advancing numerics for the Casimir effect to experimentally relevant aspect ratios

Casimir effect between spherical objects: proximity-force approximation and beyond using plane waves

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