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Thomas-Fermi approximation to static vortex states in superfluid trapped atomic gases

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arxiv cond-mat/0207261 v2 pith:6PVKSTQB submitted 2002-07-10 cond-mat nucl-th

Thomas-Fermi approximation to static vortex states in superfluid trapped atomic gases

classification cond-mat nucl-th
keywords thomas-fermiapproximationstatestrappedvortexapproachatomslimit
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We revise the Thomas-Fermi approximation for describing vortex states in Bose condensates of magnetically trapped atoms. Our approach is based on considering the hbar -> 0 limit rather than the N -> infinity limit as Thomas-Fermi approximation in close analogy with the Fermi systems. Even for relatively small numbers of trapped particles we find good agreement between Gross-Pitaevskii and Thomas-Fermi calculations for the different contributions to the total energy of the atoms in the condensate. We also discuss the application of our approach to the description of vortex states in superfluid fermionic systems in the Ginzburg-Landau regime.

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