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arXiv:1606.03205 · Physical review. B./Physical review. B

Critical Casimir forces from the equation of state of quantum critical systems

Adam Rançon, Louis-Paul Henry, Félix Rose, David Lopes Cardozo, N. Dupuis, P. C. W. Holdsworth, Tommaso Roscilde

Published Oct 28, 2016• 15 citations
arXivHTMLPDF

Abstract

The mapping between a classical length and inverse temperature as imaginary time provides a direct equivalence between the Casimir force of a classical system in $D$ dimensions and internal energy of a quantum system in $d=D\ensuremath{-}1$ dimensions. The scaling functions of the critical Casimir force of the classical system with periodic boundaries thus emerge from the analysis of the symmetry related quantum critical point. We show that both nonperturbative renormalization group and quantum Monte Carlo analysis of quantum critical points provide quantitative estimates for the critical Casimir force in the corresponding classical model, giving access to widely different aspect ratios for the geometry of confined systems. In light of these results, we propose protocols for the realization of critical Casimir forces for periodic boundaries through state-of-the-art cold-atom and solid-state experiments.

DOI
10.1103/physrevb.94.140506

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