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Volumn 61, Issue 4, 2000, Pages 436091-436099

Mesoscopic phenomena in Bose-Einstein systems: Persistent currents, population oscillations, and quantal phases

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EID: 0345846409     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (10)

References (42)
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    • The possibility of the superconducting transition as a BEC of preformed bosons has been discussed prior to discovery of high-temperature superconductors by A. J. Leggett, J. Phys. (Paris), Colloq. 41, 19 (1980); and P. Nozieres and S. Schmitt-Rink, J. Low Temp. Phys. 59, 195 (1985).
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    • note
    • Recently, certain nonequilibrium properties of BEC in toroidal traps (e.g., the stability and thermal decay of metastable current-carrying states) were considered in [13,14].
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    • note
    • Imposing on a BEC system both a radial electric field and a magnetic field leading to hyperfine spin interactions would result in a spin-orbit geometric phase, considered in [5].
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    • note
    • →) = 0 in the case of the electromagnetic flux that results in oscillatory phenomena in superconductors with preformed pairs (Sec. VII).
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    • note
    • Although it seems more appropriate to use the canonical (i.e., fixed particle number) ensemble, it is more straightforward to use the grand canonical ensemble, as we have done. We hope that the error incurred is negligible, at least at the particle numbers on which we are focusing.
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    • note
    • For this illustration we have computed the populations numerically, using Eqs. (3.3a) and (3.3b).
  • 31
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    • note
    • φ tending to a constant. In this limit, we arrive at a system that, although two dimensional geometrically, does indeed exhibit a thermodynamically sharp BEC, owing to the precise form of the density of states associated with the axial oscillator.
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