Stochastic field equation for the canonical ensemble of a Bose gas

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dc.creatorHeller, Sigmund
dc.creatorStrunz, Walter T.
dc.date2008-09-05
dc.date.accessioned2026-07-07T10:01:00Z
dc.date.available2026-07-07T10:01:00Z
dc.descriptionWe present a novel norm preserving stochastic evolution equation for a Bose field. Ensemble averages are quantum expectation values in the canonical ensemble. This numerically very stable equation suppresses high-energy fluctuations exponentially, preventing cutoff problems to occur. We present 3D simulations for an ideal gas in various trapping potentials focussing on ground state occupation numbers and spatial correlation functions for a wide range of temperatures above and below the critical temperature. Although rigorously valid for non-interacting Bosons only, we argue that weakly interacting Bose gases may also be amenable to this approach, in the usual mean-field approximation.
dc.identifierhttps://arxiv.org/abs/0809.1002
dc.identifierhttp://arxiv.org/abs/0809.1002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168498
dc.subjectOther Condensed Matter
dc.subjectStatistical Mechanics
dc.titleStochastic field equation for the canonical ensemble of a Bose gas
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