Repulsive Casimir forces at quantum criticality

We study the Casimir effect in the vicinity of a quantum-critical point. As a prototypical system we analyze the d-dimensional imperfect (mean-field) Bose gas enclosed in a slab of extension and subject to periodic boundary conditions. The thermodynamic state is adjusted so that , where is the therm...

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Published inEurophysics letters Vol. 113; no. 3; p. 30006
Main Authors Jakubczyk, P., Napiórkowski, M., Sȩk, T.
Format Journal Article
LanguageEnglish
Published Les Ulis EDP Sciences, IOP Publishing and Società Italiana di Fisica 01.02.2016
IOP Publishing
Subjects
05.30.Jp
05.30.Rt
64.60.-i
Adjustment
Algebra
Amplitudes
Boundary conditions
Critical point
Decay
Dimensional analysis
Quantum theory
Slabs
Thermodynamics
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ISSN0295-5075
1286-4854
DOI10.1209/0295-5075/113/30006

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Summary:We study the Casimir effect in the vicinity of a quantum-critical point. As a prototypical system we analyze the d-dimensional imperfect (mean-field) Bose gas enclosed in a slab of extension and subject to periodic boundary conditions. The thermodynamic state is adjusted so that , where is the thermal de Broglie length, and denotes microscopic lengthscales. Our exact analysis indicates that the Casimir force in the above-specified regime is generically repulsive and decays either algebraically or exponentially, with a non-universal amplitude.
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publisher-ID:epl17690
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ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/113/30006