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arXiv:physics/9812005 · The European Physical Journal D

Ground state and vortex states of bosons in an anisotropic trap: A variational approach

M.P. Singh, A. L. Satheesha

Published Jan 1, 1999• 5 citations
arXivHTMLPDF
DOI
10.1007/s100530050583

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For Bose–Einstein condensation of neutral atoms in anisotropic traps at zero temperature, we present simple analytical methods for computing the properties of ground state and single vortex of Bose–Einstein condensates, and compare those results to extensive numerical simulations. The critical angular velocity for production of vortices is calculated for both positive and negative scattering lengths a, and find an analytical expression for the large- N limit of the vortex critical angular velocity for a >0, and the critical number for condensate population approaches the point of collapse for a <0, by using approximate variational method.