Analytical Solutions for the Two-Dimensional Gross-Pitaevskii Equation with a Harmonic Trap

被引：1

作者：

Shi Yu-Ren ^{[1
]}

Wang Xue-Ling ^{[1
]}

Wang Guang-Hui ^{[1
]}

Liu Cong-Bo ^{[1
]}

Yang Hong-Juan ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Phys & Elect Engn, Lanzhou 730070, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2013年 / 59卷 / 03期

关键词：

Gross-Pitaevskii equation; homotopy analysis method; analytical solution; BOSE-EINSTEIN CONDENSATION; HOMOTOPY ANALYSIS METHOD; NUMERICAL-METHODS; NOBEL LECTURE; ATOMS; GAS; INTERFERENCE; EFFICIENT; DYNAMICS;

D O I：

10.1088/0253-6102/59/3/05

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Both the homotopy analysis method and Galerkin spectral method are applied to find the analytical solutions of the two-dimensional and time-independent Gross Pitaevskii equation, a nonlinear Schrodinger equation used in describing the system of Bose-Einstein condensates trapped in a harmonic potential. The approximate analytical solutions are obtained successfully. Comparisons between the analytical solutions and the numerical solutions have been made. The results indicate that they are agreement very well with each other when the atomic interaction is not too strong.

引用

页码：273 / 278

页数：6

共 38 条

[1] 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

[2] An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates [J].

Bao, Weizhu ;

Wang, Hanquan .

JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 217 (02) :612-626

[3] Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates [J].

Bao, Weizhu ;

Cai, Yongyong ;

Wang, Hanquan .

JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (20) :7874-7892

[4] 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

[5] Bose-Einstein condensation of lithium: Observation of limited condensate number [J].

Bradley, CC ;

Sackett, CA ;

Hulet, RG .

PHYSICAL REVIEW LETTERS, 1997, 78 (06) :985-989

[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] Bose-Einstein condensation in a dilute gas; The first 70 years and some recent experiments [J].

Cornell, EA ;

Wieman, CE .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2002, 16 (30) :4503-4536

[8] Stable 85Rb Bose-Einstein condensates with widely tunable interactions [J].

Cornish, SL ;

Claussen, NR ;

Roberts, JL ;

Cornell, EA ;

Wieman, CE .

PHYSICAL REVIEW LETTERS, 2000, 85 (09) :1795-1798

[9] Theory of Bose-Einstein condensation in trapped gases [J].

Dalfovo, F ;

Giorgini, S ;

Pitaevskii, LP ;

Stringari, S .

REVIEWS OF MODERN PHYSICS, 1999, 71 (03) :463-512

[10] BOSE-EINSTEIN CONDENSATION IN A GAS OF SODIUM ATOMS [J].

DAVIS, KB ;

MEWES, MO ;

ANDREWS, MR ;

VANDRUTEN, NJ ;

DURFEE, DS ;

KURN, DM ;

KETTERLE, W .

PHYSICAL REVIEW LETTERS, 1995, 75 (22) :3969-3973

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