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Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/14841

Title: Vortex-ring Solutions of the Gross–Pitaevskii Equation for An Axisymmtrically Trapped Bose–Einstein Condensate
Authors: Hsueh, C. H.;Gou, Shih-Chuan;Horng, T. L.;Kao, Y. M.
Contributors: 物理學系
Date: 2007
Issue Date: 2012-12-10T02:27:24Z
Publisher: IOP Publishing
Abstract: We propose a numerical scheme for obtaining the stationary vortex-ring solutions of the Gross–Pitaevskii (GP) equation for an axisymmetrically trapped Bose–Einstein condensate (BEC). The effective energy functional and the associated GP equation are derived by assuming a trial phase profile for the wavefunction that is subject to the condition of circulation quantization on the rz plane. The wavefunction of the vortex ring is determined by solving the ground state of the effective GP equation numerically. Application of our method to the formation of a three-dimensional Skyrmion in a trapped two-component BEC is demonstrated.
Relation: J. Phys.B: At. Mol. Opt. Phys., 40(24): 4561-4571
Appears in Collections:[Department of Physics] Periodical Articles

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