Discretization and solution of the inhomogeneous Bogoliubov-de Gennes equations

D. McPeake, Jim McCann

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


In the presence of inhomogeneities, defects and currents, the equations describing a Bose-condensed ensemble of alkali atoms have to be solved numerically. By combining both linear and nonlinear equations within a Discrete Variable Representation framework, we describe a computational scheme for the solution of the coupled Bogoliubov-de Gennes (BdG) and nonlinear Schrodinger (NLS) equations for fields in a 3D spheroidal potential. We use the method to calculate the collective excitation spectrum and quasiparticle mode densities for excitations of a Bose condensed gas in a spheroidal trap. The method is compared against finite-difference and spectral methods, and we find the DVR computational scheme to be superior in accuracy and efficiency for the cases we consider. (C) 2004 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)119-128
Number of pages10
JournalComputer Physics Communications
Issue number3
Publication statusPublished - 15 Aug 2004

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

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