Time-dependent multi-orbital mean-field for fragmented Bose-Einstein condensates

被引：30

作者：

Alon, Ofir E. ^{[1
]}

Streltsov, Alexej I. ^{[1
]}

Cederbaum, Lorenz S. ^{[1
]}

机构：

[1] Univ Heidelberg, Inst Chem Phys, D-69120 Heidelberg, Germany

来源：

PHYSICS LETTERS A | 2007年 / 362卷 / 5-6期

关键词：

time-evolution; fragmented condensates; multi-orbital mean-field;

D O I：

10.1016/j.physleta.2006.10.048

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The evolution of Bose-Einstein condensates is usually described by the famous time-dependent Gross-Pitaevskii equation, which assumes all bosons to reside in a single time-dependent orbital. In the present work we address the evolution of fragmented condensates, for which two (or more) orbitals are occupied, and derive a corresponding time-dependent multi-orbital mean-field theory. We call our theory TDMF(n), where n stands for the number of evolving fragments. Working equations for a general two-body interaction between the bosons are explicitly presented along with an illustrative numerical example. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：453 / 459

页数：7

共 26 条

[1] Pathway from condensation via fragmentation to fermionization of cold bosonic systems [J].

Alon, OE ;

Cederbaum, LS .

PHYSICAL REVIEW LETTERS, 2005, 95 (14)

[2] Zoo of quantum phases and excitations of cold bosonic atoms in optical lattices [J].

Alon, OE ;

Streltsov, AI ;

Cederbaum, LS .

PHYSICAL REVIEW LETTERS, 2005, 95 (03)

[3] Fragmentation of Bose-Einstein condensates in multi-well three-dimensional traps [J].

Alon, OE ;

Streltsov, AI ;

Cederbaum, LS .

PHYSICS LETTERS A, 2005, 347 (1-3) :88-94

[4] Gross-Pitaevskii equation for Bose particles in a double-well potential: Two-mode models and beyond [J].

Ananikian, D ;

Bergeman, T .

PHYSICAL REVIEW A, 2006, 73 (01)

[5] HIGHLY EXCITED VIBRATIONAL LEVELS OF FLOPPY TRIATOMIC-MOLECULES - A DISCRETE VARIABLE REPRESENTATION - DISTRIBUTED GAUSSIAN-BASIS APPROACH [J].

BACIC, Z ;

LIGHT, JC .

JOURNAL OF CHEMICAL PHYSICS, 1986, 85 (08) :4594-4604

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

Baer, R .

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

[7] Stationary solutions of the one-dimensional nonlinear Schrodinger equation. I. Case of repulsive nonlinearity [J].

Carr, LD ;

Clark, CW ;

Reinhardt, WP .

PHYSICAL REVIEW A, 2000, 62 (06) :063610-063611

[8] Self-consistent fragmented excited states of trapped condensates [J].

Cederbaum, LS ;

Streltsov, AI .

PHYSICAL REVIEW A, 2004, 70 (02) :023610-1

[9] Best mean-field for condensates [J].

Cederbaum, LS ;

Streltsov, AI .

PHYSICS LETTERS A, 2003, 318 (06) :564-569

[10] Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interactions [J].

Kanamoto, R ;

Saito, H ;

Ueda, M .

PHYSICAL REVIEW A, 2003, 67 (01) :7

← 1 2 3 →