Titre :

Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations

Auteur(s) :

Antoine, Xavier [Auteur]
Institut Élie Cartan de Lorraine [IECL]
Robust control of infinite dimensional systems and applications [CORIDA]
Bao, Weizhu [Auteur]
Department of Mathematics [Singapore]
Besse, Christophe [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Computer Physics Communications

Pagination :

2621-2633

Éditeur :

Elsevier

Date de publication :

2013

ISSN :

0010-4655

Mot(s)-clé(s) en anglais :

Gross-Pitaevskii equation
absorbing boundary condition
Crank-Nicolson finite difference method
time-splitting spectral method
nonlinear Schrödinger equation
Bose-Einstein condensation

Discipline(s) HAL :

Mathématiques [math]/Analyse numérique [math.NA]
Mathématiques [math]/Physique mathématique [math-ph]
Physique [physics]/Matière Condensée [cond-mat]/Gaz Quantiques [cond-mat.quant-gas]
Physique [physics]/Physique Quantique [quant-ph]

Résumé en anglais : [en]

In this paper, we begin with the nonlinear Schrödinger/Gross-Pitaevskii equation (NLSE/GPE) for modeling Bose-Einstein condensation (BEC) and nonlinear optics, and discuss their dynamical properties ranging from time ...
Lire la suite >In this paper, we begin with the nonlinear Schrödinger/Gross-Pitaevskii equation (NLSE/GPE) for modeling Bose-Einstein condensation (BEC) and nonlinear optics, and discuss their dynamical properties ranging from time reversible, time transverse invariant, mass and energy conservation, dispersive 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 extendedto 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.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Simulation numérique avancée pour les condensats de Bose-Einstein : Modèles numériques déterministes et stochastiques, Calcul haute performance, Simulation d'expériences physiques

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL