Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap -: art. no. 046706

被引：46

作者：

Dion, CM ^{[1
]}

Cancès, E ^{[1
]}

机构：

[1] Ecole Natl Ponts & Chaussees, CERMICS, F-77455 Marne La Vallee, France

来源：

PHYSICAL REVIEW E | 2003年 / 67卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.67.046706

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study the numerical resolution of the time-dependent Gross-Pitaevskii equation, a nonlinear Schrodinger 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.

引用

页码：9 / 467069

页数：9

共 44 条

[1] Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensions [J].

Adhikari, SK .

PHYSICAL REVIEW E, 2000, 62 (02) :2937-2944

[2] OBSERVATION OF BOSE-EINSTEIN CONDENSATION IN A DILUTE ATOMIC VAPOR [J].

ANDERSON, MH ;

ENSHER, JR ;

MATTHEWS, MR ;

WIEMAN, CE ;

CORNELL, EA .

SCIENCE, 1995, 269 (5221) :198-201

[3] Accurate and efficient evolution of nonlinear Schrodinger equations [J].

Baer, R .

PHYSICAL REVIEW A, 2000, 62 (06) :063810-063811

[4] Theory of an output coupler for Bose-Einstein condensed atoms [J].

Ballagh, RJ ;

Burnett, K ;

Scott, TF .

PHYSICAL REVIEW LETTERS, 1997, 78 (09) :1607-1611

[5] Coherent evolution of bouncing Bose-Einstein condensates [J].

Bongs, K ;

Burger, S ;

Birkl, G ;

Sengstock, K ;

Ertmer, W ;

Rzazewski, K ;

Sanpera, A ;

Lewenstein, M .

PHYSICAL REVIEW LETTERS, 1999, 83 (18) :3577-3580

[6] EVIDENCE OF BOSE-EINSTEIN CONDENSATION IN AN ATOMIC GAS WITH ATTRACTIVE INTERACTIONS [J].

BRADLEY, CC ;

SACKETT, CA ;

TOLLETT, JJ ;

HULET, RG .

PHYSICAL REVIEW LETTERS, 1995, 75 (09) :1687-1690

[7]

Cancès E, 2000, INT J QUANTUM CHEM, V79, P82, DOI 10.1002/1097-461X(2000)79:2<82::AID-QUA3>3.0.CO

[8]

2-I

[9]

Cances E., 2000, MATH MODELS METHODS, V74, P17

[10]

CANCES E, UNPUB

← 1 2 3 4 5 →