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Volumn 38, Issue 3, 2006, Pages 874-893

Vortex lattices in rotating bose-einstein condensates

Author keywords

Averaging process; Bose Einstein condensates; Gross Pitaevskii; Lattice; Lowest Landau level; Vortices

Indexed keywords

DISTORTION (WAVES); HARMONIC ANALYSIS; OPTIMAL SYSTEMS; VORTEX FLOW; WAVE FUNCTIONS;

EID: 33846577735     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/050632889     Document Type: Article
Times cited : (22)

References (37)
  • 1
    • 0035917810 scopus 로고    scopus 로고
    • Observation of vortex lattices in Bose-Einstein condensates
    • J. R. ABO-SHAEER, C. RAMAN, J. M. VOGELS, AND W. KETTERLE, Observation of vortex lattices in Bose-Einstein condensates, Science, 292 (2001), pp. 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
    • 33344463688 scopus 로고    scopus 로고
    • Vortex patterns in a fast rotating Bose-Einstein condensate
    • A. AFTALION, X. BLANC, AND J. DALIBARD, Vortex patterns in a fast rotating Bose-Einstein condensate, Phys. Rev. A, 71 (2005), p. 023611.
    • (2005) Phys. Rev. A , vol.71 , pp. 023611
    • AFTALION, A.1    BLANC, X.2    DALIBARD, J.3
  • 4
    • 33750205835 scopus 로고    scopus 로고
    • A. AFTALION, X. BLANC, AND F. NIER, Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates, to appear in J. Funct. Anal., 2006.
    • A. AFTALION, X. BLANC, AND F. NIER, Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates, to appear in J. Funct. Anal., 2006.
  • 5
    • 33144474430 scopus 로고    scopus 로고
    • Vortex distribution in the lowest Landau level
    • A. AFTALION, X. BLANC, AND F. NIER, Vortex distribution in the lowest Landau level, Phys. Rev. A, 73 (2006), p, 011601(R).
    • (2006) Phys. Rev. A , vol.73
    • AFTALION, A.1    BLANC, X.2    NIER, F.3
  • 6
    • 0038106156 scopus 로고    scopus 로고
    • Properties of a single vortex solution in a rotating Base Einstein condensate
    • A. AFTALION AND R. L. JERRARD, Properties of a single vortex solution in a rotating Base Einstein condensate, C. R. Acad. Sci. Paris, Ser. I, 336 (2003).
    • (2003) C. R. Acad. Sci. Paris, Ser. I , vol.336
    • AFTALION, A.1    JERRARD, R.L.2
  • 7
    • 0035471736 scopus 로고    scopus 로고
    • Vortex energy and vortex bending for a rotating Bose-Einstein condensate
    • A. AFTALION AND T. RIVIERE, Vortex energy and vortex bending for a rotating Bose-Einstein condensate, Phys. Rev. A, 64 (2001), p. 043611.
    • (2001) Phys. Rev. A , vol.64 , pp. 043611
    • AFTALION, A.1    RIVIERE, T.2
  • 8
    • 21144473666 scopus 로고
    • Horaogenization and two-scale convergence
    • G. ALLAIRE, Horaogenization and two-scale convergence, SIAM J. Math. Anal., 23 (1992), pp. 1482-1518.
    • (1992) SIAM J. Math. Anal , vol.23 , pp. 1482-1518
    • ALLAIRE, G.1
  • 9
    • 2942525303 scopus 로고    scopus 로고
    • G. BAYM AND C. J. PETHICK, Vortex core structure and global properties of rapidly rotating Bose-Einstein condensates, Phys. Rev. A, 69 (2004), p. 043619.
    • G. BAYM AND C. J. PETHICK, Vortex core structure and global properties of rapidly rotating Bose-Einstein condensates, Phys. Rev. A, 69 (2004), p. 043619.
  • 11
    • 21344479683 scopus 로고
    • Energy-level statistics of model quantum systems: Universality and scaling in a lattice-point problem
    • P. M. BLEHER AND J. L. LEBOWITZ, Energy-level statistics of model quantum systems: Universality and scaling in a lattice-point problem, J. Statist. Phys., 74 (1994), pp. 167-217.
    • (1994) J. Statist. Phys , vol.74 , pp. 167-217
    • BLEHER, P.M.1    LEBOWITZ, J.L.2
  • 12
    • 0001614996 scopus 로고    scopus 로고
    • Predicted signatures of rotating Bose-Einstein condensates
    • D. BUTTS AND R. ROKHSAR, Predicted signatures of rotating Bose-Einstein condensates, Nature, 397 (1999), p. 327.
    • (1999) Nature , vol.397 , pp. 327
    • BUTTS, D.1    ROKHSAR, R.2
  • 15
    • 19644400822 scopus 로고    scopus 로고
    • Vortex lattices in the lowest Landau level for confined Bose-Einstein condensates
    • N. R. COOPER, S. KOMINEAS, AND N. READ, Vortex lattices in the lowest Landau level for confined Bose-Einstein condensates, Phys. Rev. A, 70 (2004) p. 033604.
    • (2004) Phys. Rev. A , vol.70 , pp. 033604
    • COOPER, N.R.1    KOMINEAS, S.2    READ, N.3
  • 16
    • 39249085222 scopus 로고    scopus 로고
    • Quantum phases of vortices in rotating Bose-Einstein condensates
    • N. R. COOPER, N. K. WILKIN, AND J. M. F. GUNN, Quantum phases of vortices in rotating Bose-Einstein condensates, Phys. Rev. Lett., 87 (2001), p. 120405.
    • (2001) Phys. Rev. Lett , vol.87 , pp. 120405
    • COOPER, N.R.1    WILKIN, N.K.2    GUNN, J.M.F.3
  • 17
    • 0003474788 scopus 로고
    • Cambridge University Press, Cambridge, UK, Chaps, and
    • R. J. DONNELLY, Quantized Vortices in Helium II, Cambridge University Press, Cambridge, UK, Chaps. 4 and 5, 1991.
    • (1991) Quantized Vortices in Helium II , pp. 4-5
    • DONNELLY, R.J.1
  • 18
    • 0142085232 scopus 로고    scopus 로고
    • Observation of long-lived vortex aggregates in rapidly rotating Bose-Einstein condensates
    • P. ENGELS, I. CODDINGTON, P. C. HALJAN, V. SCHWEIKHARD, AND E. A. CORNELL, Observation of long-lived vortex aggregates in rapidly rotating Bose-Einstein condensates, Phys. Rev. Lett., 90 (2003), p. 170405.
    • (2003) Phys. Rev. Lett , vol.90 , pp. 170405
    • ENGELS, P.1    CODDINGTON, I.2    HALJAN, P.C.3    SCHWEIKHARD, V.4    CORNELL, E.A.5
  • 19
    • 18544373519 scopus 로고    scopus 로고
    • Rapid rotation of a Bose-Einstein condensate in a harmonic plus quartic trap
    • A. L. FETTER, B. JACKSON, AND S. STRINGARI, Rapid rotation of a Bose-Einstein condensate in a harmonic plus quartic trap, Phys. Rev. A, 71 (2005), p. 013605.
    • (2005) Phys. Rev. A , vol.71 , pp. 013605
    • FETTER, A.L.1    JACKSON, B.2    STRINGARI, S.3
  • 20
    • 0038203402 scopus 로고    scopus 로고
    • Vortex states of rapidly rotating dilute Bose-Einstein condensates
    • U. R. FISCHER AND G. BAYM, Vortex states of rapidly rotating dilute Bose-Einstein condensates, Phys. Rev. Lett., 90 (2003), p. 140402.
    • (2003) Phys. Rev. Lett , vol.90 , pp. 140402
    • FISCHER, U.R.1    BAYM, G.2
  • 21
    • 0035817002 scopus 로고    scopus 로고
    • Bose-Einstein condensates with large number of vortices
    • T. L. HO, Bose-Einstein condensates with large number of vortices, Phys. Rev. Lett., 87 (2001), p. 060403.
    • (2001) Phys. Rev. Lett , vol.87 , pp. 060403
    • HO, T.L.1
  • 22
    • 36149019393 scopus 로고
    • Bulk solution of Ginzburg-Landau equations for Type II Superconductors: Upper critical field region
    • W. H. KLEINER, L. M. ROTH, AND S. H. AUTLER, Bulk solution of Ginzburg-Landau equations for Type II Superconductors: Upper critical field region, Phys. Rev., 133 (1964), p. A1226.
    • (1964) Phys. Rev , vol.133
    • KLEINER, W.H.1    ROTH, L.M.2    AUTLER, S.H.3
  • 25
    • 0347107495 scopus 로고    scopus 로고
    • Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
    • E. H. LIEB, R. SEIRINGER, AND J. YNGVASON, Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional, Phys. Rev. A, 61 (2000), p. 0436021.
    • (2000) Phys. Rev. A , vol.61 , pp. 0436021
    • LIEB, E.H.1    SEIRINGER, R.2    YNGVASON, J.3
  • 26
    • 0033147659 scopus 로고    scopus 로고
    • Eigenvalue problems of Ginzburg-Landau operator in bounded domains
    • K. LU AND X. B. PAN, Eigenvalue problems of Ginzburg-Landau operator in bounded domains, J. Math. Phys., 40 (1999), pp. 2647-2670.
    • (1999) J. Math. Phys , vol.40 , pp. 2647-2670
    • LU, K.1    PAN, X.B.2
  • 27
    • 0347318638 scopus 로고    scopus 로고
    • Vortex formation in a stirred Bose-Einstein condensate
    • K. MADISON, F. CHEVY, V. BRETIN, AND J. DALIBARD, Vortex formation in a stirred Bose-Einstein condensate, Phys. Rev. Lett., 84 (2000), p. 806.
    • (2000) Phys. Rev. Lett , vol.84 , pp. 806
    • MADISON, K.1    CHEVY, F.2    BRETIN, V.3    DALIBARD, J.4
  • 28
    • 14944338601 scopus 로고    scopus 로고
    • Vortices in a Bose-Einstein condensate
    • M. R. MATTHEWS ET AL., Vortices in a Bose-Einstein condensate, Phys. Rev. Lett., 83 (1999), p. 2498.
    • (1999) Phys. Rev. Lett , vol.83 , pp. 2498
    • MATTHEWS ET AL., M.R.1
  • 29
    • 0000315621 scopus 로고
    • A general convergence result for a functional related to the theory of homogenization
    • G. NGUETSENG, A general convergence result for a functional related to the theory of homogenization, SIAM J. Math. Anal., 20 (1989), pp. 608-623.
    • (1989) SIAM J. Math. Anal , vol.20 , pp. 608-623
    • NGUETSENG, G.1
  • 30
    • 0001465051 scopus 로고    scopus 로고
    • Atomic scattering in the presence of an external confinement and a gas of impenetrable bosons
    • M. OLSHANII, Atomic scattering in the presence of an external confinement and a gas of impenetrable bosons, Phys. Rev. Lett., 81 (1998), pp. 938-941.
    • (1998) Phys. Rev. Lett , vol.81 , pp. 938-941
    • OLSHANII, M.1
  • 32
    • 32544435707 scopus 로고    scopus 로고
    • Bosons in Disc-Shaped Traps: From 3D to ID
    • preprint
    • K. SCHNEE AND J. YNGVASON, Bosons in Disc-Shaped Traps: From 3D to ID, preprint, 2004.
    • (2004)
    • SCHNEE, K.1    YNGVASON, J.2
  • 34
    • 42749106240 scopus 로고    scopus 로고
    • Vortices in spatially inhomogeneous superfluids
    • D. E. SHEEHY AND L. RADZIHOVSKY, Vortices in spatially inhomogeneous superfluids, Phys. Rev. A, 70 (2004), p. 063620.
    • (2004) Phys. Rev. A , vol.70 , pp. 063620
    • SHEEHY, D.E.1    RADZIHOVSKY, L.2
  • 35
    • 0037100786 scopus 로고    scopus 로고
    • Quantum melting and absence of BoseEinstein condensation in two-dimensional vortex matter
    • J. SINOVA, C. B. HANNA, AND A. H. MACDONALD, Quantum melting and absence of BoseEinstein condensation in two-dimensional vortex matter, Phys. Rev. Lett., 89 (2002), p. 030403.
    • (2002) Phys. Rev. Lett , vol.89 , pp. 030403
    • SINOVA, J.1    HANNA, C.B.2    MACDONALD, A.H.3
  • 36
    • 1642309659 scopus 로고    scopus 로고
    • Shape oscillation of a rotating Bose-Einstein condensate
    • S. STOCK, V. BRETIN, F. CHEVY, AND J. DALIBARD, Shape oscillation of a rotating Bose-Einstein condensate, Europhys. Lett., 65 (2004), p. 594.
    • (2004) Europhys. Lett , vol.65 , pp. 594
    • STOCK, S.1    BRETIN, V.2    CHEVY, F.3    DALIBARD, J.4
  • 37
    • 11344276534 scopus 로고    scopus 로고
    • Landau levels and the Thomas-Fermi structure of rapidly rotating Bose-Einstein condensates
    • G. WATANABE, G. BAYM, AND C. J. PETHICK, Landau levels and the Thomas-Fermi structure of rapidly rotating Bose-Einstein condensates, Phys. Rev. Lett., 93 (2004), p. 190401.
    • (2004) Phys. Rev. Lett , vol.93 , pp. 190401
    • WATANABE, G.1    BAYM, G.2    PETHICK, C.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.