The stochastic Gross-Pitaevskii equation: III

Details The stochastic Gross-Pitaevskii equation: III The stochastic Gross-Pitaevskii equation: III

2006-02-07

arxiv.org/abs/cond-mat/0602162v1

Physics

Condensed Matter

Other Condensed Matter

25 pages, 2 figures, J. Phys. B. style

Scientific paper

A generalised stochastic Gross-Pitaevskii equation describing a partially condensed trapped Bose gas with rotating thermal component is presented. We elucidate the manner in which the rotation changes the role of the high energy cutoff and introduces centrifugal effects in the classical field evolution. The rotation of the cloud means that Bose-enhanced collision processes occur preferentially into states with the same angular momentum as the thermal cloud, thus favouring vortex formation. We use the formalism to obtain a first principles theory of vortex lattice formation caused by thermodynamic instability.

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