Repulsive Casimir forces at quantum criticality
Institute of Theoretical Physics, Faculty of Physics, University of Warsaw - Pasteura 5, 02-093 Warsaw, Poland
Received: 12 December 2015
Accepted: 15 February 2016
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.
PACS: 05.30.Jp – Boson systems / 05.30.Rt – Quantum phase transitions / 64.60.-i – General studies of phase transitions
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