메뉴 건너뛰기




Volumn 18, Issue 2, 2006, Pages 119-162

Energy expansion and vortex location for a two-dimensional rotating Bose-Einstein condensate

Author keywords

Bose Einstein condensate; Renormalized energy; Vortices

Indexed keywords


EID: 33646487282     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X06002607     Document Type: Article
Times cited : (50)

References (24)
  • 1
    • 0035917810 scopus 로고    scopus 로고
    • Observation of vortex lattices in Bose-Einstein condensate
    • J. R. Abo-Shaeer, C. Raman, J. M. Vogels and W. Ketterle, Observation of vortex lattices in Bose-Einstein condensate, Science 292 (2001) 476-479.
    • (2001) Science , vol.292 , pp. 476-479
    • Abo-Shaeer, J.R.1    Raman, C.2    Vogels, J.M.3    Ketterle, W.4
  • 2
    • 4243961414 scopus 로고    scopus 로고
    • Vortices in a rotating Bose-Einstein condensate: Critical angular velocities and energy diagrams in the Thomas-Fermi regime
    • A. Aftalion and Q. Du, Vortices in a rotating Bose-Einstein condensate: Critical angular velocities and energy diagrams in the Thomas-Fermi regime, Phys. Rev. A 64 (2001).
    • (2001) Phys. Rev. A , vol.64
    • Aftalion, A.1    Du, Q.2
  • 3
    • 0031624104 scopus 로고    scopus 로고
    • Topological methods for the Ginzburg-Landau equations
    • L. Almeida and F. Bethuel, Topological methods for the Ginzburg-Landau equations, J. Math. Pures Appl. 77 (1998) 1-49.
    • (1998) J. Math. Pures Appl. , vol.77 , pp. 1-49
    • Almeida, L.1    Bethuel, F.2
  • 4
    • 0032368211 scopus 로고    scopus 로고
    • Asymptotic behavior of minimizers for the Ginzburg-Landau functional with weight, I
    • N. André and I. Shafrir, Asymptotic behavior of minimizers for the Ginzburg-Landau functional with weight, I. Arch. Ration. Mech. Anal. 142 (1998) 45-73.
    • (1998) Arch. Ration. Mech. Anal. , vol.142 , pp. 45-73
    • André, N.1    Shafrir, I.2
  • 5
    • 0032386764 scopus 로고    scopus 로고
    • Asymptotic behavior of minimizers for the Ginzburg-Landau functional with weight, II
    • N. André and I. Shafrir, Asymptotic behavior of minimizers for the Ginzburg-Landau functional with weight, II, Arch. Ration. Mech. Anal. 142 (1998) 75-98.
    • (1998) Arch. Ration. Mech. Anal. , vol.142 , pp. 75-98
    • André, N.1    Shafrir, I.2
  • 6
    • 0001867543 scopus 로고
    • On a class of Ginzburg-Landau equations with weight
    • A. Beaulieu and R. Hadiji, On a class of Ginzburg-Landau equations with weight, Panamer. Math. J. 5 (1995) 1-33.
    • (1995) Panamer. Math. J. , vol.5 , pp. 1-33
    • Beaulieu, A.1    Hadiji, R.2
  • 10
    • 0001614996 scopus 로고    scopus 로고
    • Predicted signatures of rotating Bose-Einstein condensates
    • D. Butts and D. Rokhsar, Predicted signatures of rotating Bose-Einstein condensates, Nature 397 (1999) 327-329.
    • (1999) Nature , vol.397 , pp. 327-329
    • Butts, D.1    Rokhsar, D.2
  • 11
    • 0033473154 scopus 로고    scopus 로고
    • Bose-Einstein condensates with vortices in rotating traps
    • Y. Castin and R. Dum, Bose-Einstein condensates with vortices in rotating traps, Eur. Phys. J. D 7 (1999) 399-412.
    • (1999) Eur. Phys. J. D , vol.7 , pp. 399-412
    • Castin, Y.1    Dum, R.2
  • 12
    • 0033227615 scopus 로고    scopus 로고
    • On a discrete variational problem involving interacting particles
    • S. Gueron and I. Shafrir, On a discrete variational problem involving interacting particles, SIAM J. Appl. Math. 60 (2000) 1-17.
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 1-17
    • Gueron, S.1    Shafrir, I.2
  • 13
    • 18144381519 scopus 로고    scopus 로고
    • Vortices in 2d rotating Bose-Einstein condensate
    • R. Ignat and V. Millot, Vortices in 2d rotating Bose-Einstein condensate, C. R. Acad. Sci. Paris Sér. I 340 (2005) 571-576.
    • (2005) C. R. Acad. Sci. Paris Sér. I , vol.340 , pp. 571-576
    • Ignat, R.1    Millot, V.2
  • 14
    • 32544460861 scopus 로고    scopus 로고
    • The critical velocity for vortex existence in a two dimensional rotating Bose-Einstein condensate
    • R. Ignat and V. Millot, The critical velocity for vortex existence in a two dimensional rotating Bose-Einstein condensate, J. Funct. Anal. 233 (2006) 260-306.
    • (2006) J. Funct. Anal. , vol.233 , pp. 260-306
    • Ignat, R.1    Millot, V.2
  • 15
    • 0033478708 scopus 로고    scopus 로고
    • Ginzburg-Landau type energy with discontinuous constraint
    • L. Lassoued and P. Mironescu, Ginzburg-Landau type energy with discontinuous constraint, J. Anal. Math. 77 (1999) 1-26.
    • (1999) J. Anal. Math. , vol.77 , pp. 1-26
    • Lassoued, L.1    Mironescu, P.2
  • 16
  • 18
    • 0000618159 scopus 로고    scopus 로고
    • Lower bounds for the energy of unit vector fields and applications
    • E. Sandier, Lower bounds for the energy of unit vector fields and applications, J. Func. Anal. 152 (1998) 119-145.
    • (1998) J. Func. Anal. , vol.152 , pp. 119-145
    • Sandier, E.1
  • 19
    • 0003275448 scopus 로고    scopus 로고
    • A rigorous derivation of a free boundary problem arising in superconductivity
    • E. Sandier and S. Serfaty, A rigorous derivation of a free boundary problem arising in superconductivity, Ann. Sci. Ecole Norm. Sup. 33 (2000) 561-592.
    • (2000) Ann. Sci. Ecole Norm. Sup. , vol.33 , pp. 561-592
    • Sandier, E.1    Serfaty, S.2
  • 20
    • 0242671787 scopus 로고    scopus 로고
    • Local minimizers for the Ginzburg-Landau energy near critical magnetic field: Part I
    • S. Serfaty, Local minimizers for the Ginzburg-Landau energy near critical magnetic field: Part I, Commun. Contemp. Math. 1 (1999) 213-254.
    • (1999) Commun. Contemp. Math. , vol.1 , pp. 213-254
    • Serfaty, S.1
  • 21
    • 0037915519 scopus 로고    scopus 로고
    • Local minimizers for the Ginzburg-Landau energy near critical magnetic field: Part II
    • S. Serfaty, Local minimizers for the Ginzburg-Landau energy near critical magnetic field: Part II, Commun. Contemp. Math. 1 (1999) 295-333.
    • (1999) Commun. Contemp. Math. , vol.1 , pp. 295-333
    • Serfaty, S.1
  • 22
    • 0033269549 scopus 로고    scopus 로고
    • Stable configurations in superconductivity: Uniqueness, multiplicity, and vortex-nucleation
    • S. Serfaty, Stable configurations in superconductivity: Uniqueness, multiplicity, and vortex-nucleation, Arch. Ration. Mech. Anna. 149 (1999) 329-365.
    • (1999) Arch. Ration. Mech. Anna. , vol.149 , pp. 329-365
    • Serfaty, S.1
  • 23
    • 0035690671 scopus 로고    scopus 로고
    • On a model of rotating superfluids
    • S. Serfaty, On a model of rotating superfluids, ESAIM Control Optim. Calc. Var. 6 (2001) 201-238.
    • (2001) ESAIM Control Optim. Calc. Var. , vol.6 , pp. 201-238
    • Serfaty, S.1
  • 24
    • 84972506267 scopus 로고
    • On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2-dimensions
    • Erratum J. Diff. Int. Equations 8 (1995) 224
    • M. Struwe, On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2-dimensions, J. Diff. Int. Equations 7 (1994) 1617-1624; Erratum J. Diff. Int. Equations 8 (1995) 224.
    • (1994) J. Diff. Int. Equations , vol.7 , pp. 1617-1624
    • Struwe, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.