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Volumn 66, Issue 3, 2002, Pages 336021-3360210

Vortex-vortex interactions in toroidally trapped Bose-Einstein condensates

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSATION; CONFORMAL MAPPING; ELECTRON TRAPS; LOW TEMPERATURE EFFECTS; QUANTUM THEORY; VORTEX FLOW;

EID: 0036756865     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (53)
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  • 13
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  • 14
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    • K.-P. Marzlin, W. Zhang, and E.M. Wright, Phys. Rev. Lett. 79, 4728 (1997); K.-P. Marzlin and W. Zhang, Phys. Rev. A 57, 3801 (1998); 57, 4761 (1998).
    • (1998) , vol.57 , pp. 4761
  • 31
    • 85015759415 scopus 로고    scopus 로고
    • e-print cond-mat/9709212
    • D.S. Rokhsar, e-print cond-mat/9709212.
    • Rokhsar, D.S.1
  • 41
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    • Sov. Phys. JETP 13, 451 (1961)
    • L.P. Pitaevskii, Zh. Éksp. Teor. Fiz. 40, 646 (1961) [Sov. Phys. JETP 13, 451 (1961)].
    • (1961) Zh. Éksp. Teor. Fiz. , vol.40 , pp. 646
    • Pitaevskii, L.P.1
  • 45
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    • W.H. Press et al., Numerical Recipes (Cambridge University Press, Cambridge, 1986).
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  • 47
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    • and references therein
    • E. Lundh and P. Ao, Phys. Rev. A 61, 063612 (2000), and references therein.
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    • Lundh, E.1    Ao, P.2
  • 49
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    • Cambridge University Press, Cambridge
    • P.G. Saffman, Vortex Dynamics (Cambridge University Press, Cambridge, 1992).
    • (1992) Vortex Dynamics
    • Saffman, P.G.1
  • 50
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    • note
    • Since we are dealing with a multiple connected region, the velocity field is not determined uniquely by the boundary condition and the specification of the vorticity field alone. This is reflected by the fact that the vortex centered at the origin can have arbitrary circulation without affecting the boundary condition. We choose the central vortex to have the circulation stated in the text, to prevent ring currents. Fixing in that way the circulation of the vortex at the origin sets the so-called cyclic constant of the velocity field to zero. With this additional information the velocity field is determined uniquely [23].


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