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Title: Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation
Authors: Zhang, Y.
Bao, W. 
Li, H.
Keywords: Angular momentum expectation
Angular momentum rotation
Condensate width
Coupled Gross-Pitaevskii equations
Quantized vortex lattice
Rotating two-component Bose-Einstein condensation
Issue Date: 1-Oct-2007
Citation: Zhang, Y., Bao, W., Li, H. (2007-10-01). Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation. Physica D: Nonlinear Phenomena 234 (1) : 49-69. ScholarBank@NUS Repository.
Abstract: In this paper, we investigate the dynamics of rotating two-component Bose-Einstein condensates (BEC) based on the coupled Gross-Pitaevskii equations (CGPEs) with an angular momentum rotation term and an external driving field, and propose an efficient and accurate method for numerical simulations. We prove the conservation of the angular momentum expectation, derive the dynamic laws for the density of each component and condensate widths, and analyze the dynamics of a stationary state with its center shifted from the trap center. By formulating the CGPEs in either 2D (two-dimensional) polar coordinate or 3D cylindrical coordinate system, the angular momentum rotation term becomes a term with constant coefficients. This allows us to develop an efficient time-splitting method which is time reversible, time transverse invariant, unconditionally stable, efficient and accurate for the problem. Moreover, it conserves the total position density in the discretized level. The numerical method is applied to verify our analytical results and study the dynamics of quantized vortex lattices in rotating two-component BEC with/without an external driving field. © 2007 Elsevier Ltd. All rights reserved.
Source Title: Physica D: Nonlinear Phenomena
ISSN: 01672789
DOI: 10.1016/j.physd.2007.06.026
Appears in Collections:Staff Publications

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