Weakly interacting Bose gas in the vicinity of the critical point

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dc.creatorProkof'ev, Nikolay
dc.creatorRuebenacker, Oliver
dc.creatorSvistunov, Boris
dc.date2004-01-05
dc.date.accessioned2026-07-07T02:55:42Z
dc.date.available2026-07-07T02:55:42Z
dc.descriptionWe consider a three-dimensional weakly interacting Bose gas in the fluctuation region (and its vicinity) of the normal-superfluid phase transition point. We establish relations between basic thermodynamic functions: density, $n(T,μ)$, superfluid density $n_s(T,μ)$, and condensate density, $n_{\rm cnd} (T,μ)$. Being universal for all weakly interacting $|ψ|^4$ systems, these relations are obtained from Monte Carlo simulations of the classical $|ψ|^4$ model on a lattice. Comparing with the mean-field results yields a quantitative estimate of the fluctuation region size. Away from the fluctuation region, on the superfluid side, all the data perfectly agree with the predictions of the quasicondensate mean field theory.--This demonstrates that the only effect of the leading above-the-mean-field corrections in the condensate based treatments is to replace the condensate density with the quasicondensate one in all local thermodynamic relations. Surprisingly, we find that a significant fraction of the density profile of a loosely trapped atomic gas might correspond to the fluctuation region.
dc.description14 pages, Latex, 8 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0401002
dc.identifierhttp://arxiv.org/abs/cond-mat/0401002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23034
dc.subjectSuperconductivity
dc.subjectStatistical Mechanics
dc.titleWeakly interacting Bose gas in the vicinity of the critical point
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