Numerical method for evolving the Projected Gross-Pitaevskii equation

Details Numerical method for evolving the Projected Gross-Pitaevskii equation Numerical method for evolving the Projected Gross-Pitaevskii equation

2008-03-26

arxiv.org/abs/0803.3664v2

Phys. Rev. E 78, 026704 (2008)

Physics

Computational Physics

12 pages, 5 figures. To appear in Phys. Rev. E. Convergence results added, a few minor changes made and typos fixed

Scientific paper

10.1103/PhysRevE.78.026704

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 non-equilibrium results from the application of the PGPE to an anisotropic trapped three-dimensional Bose gas.

Affiliated with

Also associated with

No associations

Rating

Numerical method for evolving the Projected Gross-Pitaevskii equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Numerical method for evolving the Projected Gross-Pitaevskii equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical method for evolving the Projected Gross-Pitaevskii equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-49558