Quantum versus classical statistical dynamics of an ultracold Bose gas

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dc.creatorBerges, J.
dc.creatorGasenzer, T.
dc.date2007-03-06
dc.date.accessioned2026-07-07T11:57:35Z
dc.date.available2026-07-07T11:57:35Z
dc.descriptionWe investigate the conditions under which quantum fluctuations are relevant for the quantitative interpretation of experiments with ultracold Bose gases. This requires to go beyond the description in terms of the Gross-Pitaevskii and Hartree-Fock-Bogoliubov mean-field theories, which can be obtained as classical (statistical) field-theory approximations of the quantum many-body problem. We employ functional-integral techniques based on the two-particle irreducible (2PI) effective action. The role of quantum fluctuations is studied within the nonperturbative 2PI 1/N expansion to next-to-leading order. At this accuracy level memory-integrals enter the dynamic equations, which differ for quantum and classical statistical descriptions. This can be used to obtain a 'classicality' condition for the many-body dynamics. We exemplify this condition by studying the nonequilibrium evolution of a 1D Bose gas of sodium atoms, and discuss some distinctive properties of quantum versus classical statistical dynamics.
dc.description19 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0703163
dc.identifierhttp://arxiv.org/abs/cond-mat/0703163
dc.identifierPhys.Rev.A76:033604,2007
dc.identifierdoi:10.1103/PhysRevA.76.033604
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205929
dc.subjectOther Condensed Matter
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleQuantum versus classical statistical dynamics of an ultracold Bose gas
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