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Variational determination of approximate bright matter-wave soliton solutions in anisotropic traps.

Billam, T. P. and Wrathmall, S. A. and Gardiner, S. A. (2012) 'Variational determination of approximate bright matter-wave soliton solutions in anisotropic traps.', Physical review A., 85 (1). 013627.


We consider the ground state of an attractively interacting atomic Bose-Einstein condensate in a prolate, cylindrically symmetric harmonic trap. If a true quasi-one-dimensional limit is realized, then for sufficiently weak axial trapping this ground state takes the form of a bright soliton solution of the nonlinear Schrödinger equation. Using analytic variational and highly accurate numerical solutions of the Gross-Pitaevskii equation, we systematically and quantitatively assess how solitonlike this ground state is, over a wide range of trap and interaction strengths. Our analysis reveals that the regime in which the ground state is highly solitonlike is significantly restricted and occurs only for experimentally challenging trap anisotropies. This result and our broader identification of regimes in which the ground state is well approximated by our simple analytic variational solution are relevant to a range of potential experiments involving attractively interacting Bose-Einstein condensates.

Item Type:Article
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Publisher statement:© 2012 American Physical Society
Date accepted:No date available
Date deposited:12 February 2014
Date of first online publication:January 2012
Date first made open access:No date available

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