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

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Convergence rate of dimension reduction in Bose–Einstein condensates

Journal article

Peer reviewed

Convergence rate of dimension reduction in Bose–Einstein condensates

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

Computer physics communications, Vol.177(11), pp.832-850

01/12/2007

DOI: https://doi.org/10.1016/j.cpc.2007.06.015

Abstract

Bose–Einstein condensation

Convergence rate

Dimension reduction

Gross–Pitaevskii equation

Ground state

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.

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Title: Convergence rate of dimension reduction in Bose–Einstein condensates
Creators - without role: Weizhu Bao - National University of Singapore
Yunyi Ge - National University of Singapore
Dieter Jaksch - University of Oxford
Peter A. Markowich - University of Vienna
Rada M. Weishäupl - University of Vienna
Publication Details: Computer physics communications, Vol.177(11), pp.832-850
Publisher: Elsevier B.V
Identifiers: 9942713008331
Academic Unit: King Abdullah University of Science & Technology
Language: English
Resource Type: Journal article