2008/03/31 by P. B. Blakie · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.soft #physics.atom-ph #physics.comp-ph
paper · pdf · doi:10.1103/physreve.78.026704
published as Phys. Rev. E 78, 026704 (2008) · 12 pages, 5 figures. To appear in Phys. Rev. E. Convergence results added, a few minor changes made and typos fixed
arxiv created 2008/07/20 · openalex publication_date 2008/08/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 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 nonequilibrium results from the application of the PGPE to an anisotropic trapped three-dimensional Bose gas.