Convergence rate of dimension reduction in Bose-Einstein condensates

Weizhu Bao; Yunyi Ge; Dieter Jaksch; Peter A. Markowich; Rada M. Weishäupl

doi:10.1016/j.cpc.2007.06.015

Convergence rate of dimension reduction in Bose-Einstein condensates

Weizhu Bao^*, Yunyi Ge, Dieter Jaksch, Peter A. Markowich, Rada M. Weishäupl

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

In this paper, we study dimension reduction of the three-dimensional (3D) Gross-Pitaevskii equation (GPE) modeling Bose-Einstein condensation under different limiting interaction and trapping frequency parameter regimes. Convergence rates for the dimension reduction of 3D ground state and dynamics of the GPE in the case of disk-shaped condensation and cigar-shaped condensation are reported based on our asymptotic and numerical results. In addition, the parameter regimes in which the 3D GPE cannot be reduced to lower dimensions are identified.

Original language	English (US)
Pages (from-to)	832-850
Number of pages	19
Journal	Computer Physics Communications
Volume	177
Issue number	11
DOIs	https://doi.org/10.1016/j.cpc.2007.06.015
State	Published - Dec 1 2007
Externally published	Yes

Keywords

Bose-Einstein condensation
Convergence rate
Dimension reduction
Gross-Pitaevskii equation
Ground state

ASJC Scopus subject areas

Hardware and Architecture
General Physics and Astronomy

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10.1016/j.cpc.2007.06.015

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title = "Convergence rate of dimension reduction in Bose-Einstein condensates",

abstract = "In this paper, we study dimension reduction of the three-dimensional (3D) Gross-Pitaevskii equation (GPE) modeling Bose-Einstein condensation under different limiting interaction and trapping frequency parameter regimes. Convergence rates for the dimension reduction of 3D ground state and dynamics of the GPE in the case of disk-shaped condensation and cigar-shaped condensation are reported based on our asymptotic and numerical results. In addition, the parameter regimes in which the 3D GPE cannot be reduced to lower dimensions are identified.",

keywords = "Bose-Einstein condensation, Convergence rate, Dimension reduction, Gross-Pitaevskii equation, Ground state",

author = "Weizhu Bao and Yunyi Ge and Dieter Jaksch and Markowich, {Peter A.} and Weish{\"a}upl, {Rada M.}",

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doi = "10.1016/j.cpc.2007.06.015",

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T1 - Convergence rate of dimension reduction in Bose-Einstein condensates

AU - Bao, Weizhu

AU - Ge, Yunyi

AU - Jaksch, Dieter

AU - Markowich, Peter A.

AU - Weishäupl, Rada M.

PY - 2007/12/1

Y1 - 2007/12/1

N2 - In this paper, we study dimension reduction of the three-dimensional (3D) Gross-Pitaevskii equation (GPE) modeling Bose-Einstein condensation under different limiting interaction and trapping frequency parameter regimes. Convergence rates for the dimension reduction of 3D ground state and dynamics of the GPE in the case of disk-shaped condensation and cigar-shaped condensation are reported based on our asymptotic and numerical results. In addition, the parameter regimes in which the 3D GPE cannot be reduced to lower dimensions are identified.

AB - In this paper, we study dimension reduction of the three-dimensional (3D) Gross-Pitaevskii equation (GPE) modeling Bose-Einstein condensation under different limiting interaction and trapping frequency parameter regimes. Convergence rates for the dimension reduction of 3D ground state and dynamics of the GPE in the case of disk-shaped condensation and cigar-shaped condensation are reported based on our asymptotic and numerical results. In addition, the parameter regimes in which the 3D GPE cannot be reduced to lower dimensions are identified.

KW - Bose-Einstein condensation

KW - Convergence rate

KW - Dimension reduction

KW - Gross-Pitaevskii equation

KW - Ground state

UR - http://www.scopus.com/inward/record.url?scp=35348958407&partnerID=8YFLogxK

U2 - 10.1016/j.cpc.2007.06.015

DO - 10.1016/j.cpc.2007.06.015

M3 - Article

AN - SCOPUS:35348958407

SN - 0010-4655

VL - 177

SP - 832

EP - 850

JO - Computer Physics Communications

JF - Computer Physics Communications

IS - 11

ER -

Convergence rate of dimension reduction in Bose-Einstein condensates

Abstract

Keywords

ASJC Scopus subject areas

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