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Dimensional crossovers and Casimir forces for the Bose gas in anisotropic optical lattices

cris.lastimport.scopus2024-02-12T20:43:20Z
dc.abstract.enWe consider the Bose gas on a d -dimensional anisotropic lattice employing the imperfect (mean-field) gas as a prototype example. We study the dimensional crossover arising as a result of varying the dispersion relation at finite temperature T . We analyze in particular situations where one of the relevant effective dimensionalities is located at or below the lower critical dimension, so that the Bose-Einstein condensate becomes expelled from the system by anisotropically modifying the lattice parameters controlling the kinetic term in the Hamiltonian. We clarify the mechanism governing this phenomenon. Subsequently we study the thermodynamic Casimir effect occurring in this system. We compute the exact profile of the scaling function for the Casimir energy. As an effect of strongly anisotropic scale invariance, the Casimir force below or at the critical temperature T c may be repulsive even for periodic boundary conditions. The corresponding Casimir amplitude is universal only in a restricted sense, and the power law governing the decay of the Casimir interaction becomes modified. We also demonstrate that, under certain circumstances, the scaling function is constant for sufficiently large values of the scaling variable, and in consequence is not an analytical function. At T > T c the Casimir-like interactions reflect the structure of the correlation function, and, for certain orientations of the confining walls, show exponentially damped oscillatory behavior so that the corresponding force is attractive or repulsive depending on the distance.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorŁebek, Maciej
dc.contributor.authorJakubczyk, Paweł
dc.date.accessioned2024-01-24T21:49:21Z
dc.date.available2024-01-24T21:49:21Z
dc.date.issued2020
dc.description.financePublikacja bezkosztowa
dc.description.number1
dc.description.volume102
dc.identifier.doi10.1103/PHYSREVA.102.013324
dc.identifier.issn2469-9926
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/104901
dc.identifier.weblinkhttps://link.aps.org/article/10.1103/PhysRevA.102.013324
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofPhysical Review A
dc.relation.pages13324
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleDimensional crossovers and Casimir forces for the Bose gas in anisotropic optical lattices
dc.typeJournalArticle
dspace.entity.typePublication