Published April 2003
| Version v1
Journal article
Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap
Creators
- 1. CERMICS, Ecole Nationale des Ponts et Chaussees, 6 and 8 avenue Blaise Pascal, Cite Descartes, Champs-sur-Marne, 77455 Marne-la-Vallee (France)
Description
We study the numerical resolution of the time-dependent Gross-Pitaevskii equation, a nonlinear Schroedinger equation used to simulate the dynamics of Bose-Einstein condensates. Considering condensates trapped in harmonic potentials, we present an efficient algorithm by making use of a spectral-Galerkin method, using a basis set of harmonic-oscillator functions, and the Gauss-Hermite quadrature. We apply this algorithm to the simulation of condensate breathing and scissor modes
Additional details
Identifiers
- DOI
- 10.1103/PhysRevE.67.046706;
- arXiv
- arXiv:cond-mat/0209646v3;
Publishing Information
- Journal Title
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
- Journal Volume
- 67
- Journal Issue
- 4
- Journal Page Range
- p. 046706-046706.9
- ISSN
- 1063-651X
- CODEN
- PLEEE8
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36005357
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S74: ATOMIC AND MOLECULAR PHYSICS;
- Descriptors DEI
- ALGORITHMS; BOSE-EINSTEIN CONDENSATION; COMPUTERIZED SIMULATION; HARMONIC OSCILLATORS; HARMONIC POTENTIAL; QUADRATURES; SCHROEDINGER EQUATION; TIME DEPENDENCE; TRAPPING; TRAPS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL LOGIC; NUCLEAR POTENTIAL; PARTIAL DIFFERENTIAL EQUATIONS; POTENTIALS; SIMULATION; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2003 The American Physical Society