Thermodynamics of Solitonic Matter Waves in a Toroidal Trap

Abstract

We investigate the thermodynamic properties of a Bose-Einstein condensate with negative scattering length confined in a toroidal trapping potential. By numerically solving the coupled Gross-Pitaevskii and Bogoliubov-de Gennes equations, we study the phase transition from the uniform state to the symmetry-breaking state characterized by a bright-soliton condensate and a localized thermal cloud. In the localized regime three states with a finite condensate fraction are present: the thermodynamically stable localized state, a metastable localized state and also a metastable uniform state. Remarkably, the presence of the stable localized state strongly increases the critical temperature of Bose-Einstein condensation.

4 pages, 4 figures, to be published in Physical Review A as a Rapid Communication. Related papers can be found at http://www.padova.infm.it/salasnich/tdqg.html

References in corpus (1)

• Proposed magneto-electrostatic ring trap for neutral atoms

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