Numerical method for evolving the Projected Gross-Pitaevskii equation

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dc.creatorBlakie, P. B.
dc.date2008-03-26
dc.date2008-07-20
dc.date.accessioned2026-07-07T09:56:58Z
dc.date.available2026-07-07T09:56:58Z
dc.descriptionIn this paper we describe a method for evolving the projected Gross-Pitaevskii equation (PGPE) for a Bose gas in a harmonic oscillator potential. The central difficulty in solving this equation is the requirement that the classical field is restricted to a small set of prescribed modes that constitute the low energy classical region of the system. We present a scheme, using a Hermite-polynomial based spectral representation, that precisely implements this mode restriction and allows an efficient and accurate solution of the PGPE. We show equilibrium and non-equilibrium results from the application of the PGPE to an anisotropic trapped three-dimensional Bose gas.
dc.description12 pages, 5 figures. To appear in Phys. Rev. E. Convergence results added, a few minor changes made and typos fixed
dc.identifierhttps://arxiv.org/abs/0803.3664
dc.identifierhttp://arxiv.org/abs/0803.3664
dc.identifierPhys. Rev. E 78, 026704 (2008)
dc.identifierdoi:10.1103/PhysRevE.78.026704
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167172
dc.subjectComputational Physics
dc.subjectSoft Condensed Matter
dc.subjectAtomic Physics
dc.titleNumerical method for evolving the Projected Gross-Pitaevskii equation
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