期刊
COMPUTER PHYSICS COMMUNICATIONS
卷 184, 期 12, 页码 2621-2633出版社
ELSEVIER
DOI: 10.1016/j.cpc.2013.07.012
关键词
Nonlinear Schrodinger equation; Gross-Pitaevskii equation; Time-splitting spectral method; Crank-Nicolson finite difference method; Absorbing boundary condition; Bose-Einstein condensation
资金
- French ANR [NT09_460489, ANR-12-MONU-0007-02 BECASIM]
- Singapore A*STARSERC [1224504056]
In this paper, we begin with the nonlinear Schrodinger/Gross-Pitaevskii equation (NLSE/GPE) for modeling Bose-Einstein condensation (BEC) and nonlinear optics as well as other applications, and discuss their dynamical properties ranging from time reversible, time transverse invariant, mass and energy conservation, and dispersion relation to soliton solutions. Then, we review and compare different numerical methods for solving the NLSE/GPE including finite difference time domain methods and time-splitting spectral method, and discuss different absorbing boundary conditions. In addition, these numerical methods are extended to the NLSE/GPE with damping terms and/or an angular momentum rotation term as well as coupled NLSEs/GPEs. Finally, applications to simulate a quantized vortex lattice dynamics in a rotating BEC are reported. (C) 2013 Elsevier B.V. All rights reserved.
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