Best mean-field for condensates

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dc.creatorCederbaum, L. S.
dc.creatorStreltsov, A. I.
dc.date2003-10-29
dc.date.accessioned2026-07-07T06:41:15Z
dc.date.available2026-07-07T06:41:15Z
dc.descriptionThe Gross-Pitaevskii equation assumes that all (identical) bosons of a condensate reside in a single one-particle function. Here, we raise the question whether it always provides the best mean-field ansatz for condensates, leading to the lowest mean-field ground state energy. To this end, we derive a mean-field approach allowing for bosons to reside in several different one-particle functions. The number of bosons in each of these functions is a variational parameter minimizing the energy. The energy and one-particle functions at these optimal numbers can be determined directly. A numerical example is presented demonstrating that the mean-field energy of trapped bosons can be below that provided by the Gross-Pitaevskii equation. Implications are discussed.
dc.description(11 pages, 2 figures). Physics Letters A Article in Press
dc.identifierhttps://arxiv.org/abs/cond-mat/0310697
dc.identifierhttp://arxiv.org/abs/cond-mat/0310697
dc.identifierPhysics Letters A Volume 318, Issue 6, 24 November 2003, Pages 564-569
dc.identifierdoi:10.1016/j.physleta.2003.09.058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101603
dc.subjectCondensed Matter
dc.titleBest mean-field for condensates
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