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Volumn 2, Issue 2, 2004, Pages 210-236

Ground states and dynamics of multicomponent bose-Einstein condensates

Author keywords

Bose Einstein condensate; Continuous normalized gradient flow; Energy diminishing; Ground states; Monotone scheme; Multicomponent; Timesplitting sine spectral method; Vector Gross Pitaevskii equations

Indexed keywords

BOSE-EINSTEIN CONDENSATION; DYNAMICS; GROUND STATE; NONLINEAR EQUATIONS; STATISTICAL MECHANICS;

EID: 4344565694     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/030600209     Document Type: Article
Times cited : (157)

References (45)
  • 1
    • 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), 063603.
    • (2001) Phys. Rev. A , vol.64 , pp. 063603
    • Aftalion, A.1    Du, Q.2
  • 2
    • 11944274056 scopus 로고
    • Observation of Bose-Einstein condensation in a dilute atomic vapor
    • M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, and E.A. Cornell, Observation of Bose-Einstein condensation in a dilute atomic vapor, Science, 269 (1995), pp. 198-201.
    • (1995) Science , vol.269 , pp. 198-201
    • Anderson, M.H.1    Ensher, J.R.2    Matthews, M.R.3    Wieman, C.E.4    Cornell, E.A.5
  • 3
    • 0037075612 scopus 로고    scopus 로고
    • Bose-Einstein condensation of atomic gases
    • J.R. Anglin and W. Ketterle, Bose-Einstein condensation of atomic gases, Nature, 416 (2002), pp. 211-218.
    • (2002) Nature , vol.416 , pp. 211-218
    • Anglin, J.R.1    Ketterle, W.2
  • 4
    • 6344289363 scopus 로고    scopus 로고
    • Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow
    • W. Bao and Q. Du, Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow, SIAM J. Sci. Comput., 25 (2004), pp. 1674-1697.
    • (2004) SIAM J. Sci. Comput. , vol.25 , pp. 1674-1697
    • Bao, W.1    Du, Q.2
  • 5
    • 85021642350 scopus 로고    scopus 로고
    • An explicit unconditionally stable numerical method for solving damped nonlinear Schrodinger equations with a focusing nonlinearity
    • W. Bao and D. Jaksch, An explicit unconditionally stable numerical method for solving damped nonlinear Schrodinger equations with a focusing nonlinearity, SIAM J. Numer.
    • SIAM J. Numer
    • Bao, W.1    Jaksch, D.2
  • 6
    • 0037408314 scopus 로고    scopus 로고
    • Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation
    • W. Bao, D. Jaksch, and P.A. Markowich, Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation, J. Comput. Phys., 187 (2003), pp. 318-342.
    • (2003) J. Comput. Phys. , vol.187 , pp. 318-342
    • Bao, W.1    Jaksch, D.2    Markowich, P.A.3
  • 7
    • 85021660426 scopus 로고    scopus 로고
    • Three dimensional simulation of jet formation in collapsing condensates
    • W. Bao, D. Jaksch, and P.A. Markowich, Three dimensional simulation of jet formation in collapsing condensates, J. Phys. B: At. Mol. Opt. Phys., 36 (2003), pp. 1-15.
    • (2003) J. Phys. B: At. Mol. Opt. Phys. , vol.36 , pp. 1-15
    • Bao, W.1    Jaksch, D.2    Markowich, P.A.3
  • 8
    • 0037138007 scopus 로고    scopus 로고
    • On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
    • W. Bao, S. Jin, and P.A. Markowich, On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime, J. Comput. Phys., 175 (2002), pp. 487- 524.
    • (2002) J. Comput. Phys. , vol.175 , pp. 487-524
    • Bao, W.1    Jin, S.2    Markowich, P.A.3
  • 9
    • 1842531889 scopus 로고    scopus 로고
    • Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes
    • W. Bao, S. Jin, and P.A. Markowich, Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes, SIAM J. Sci. Comput., 25 (2003), pp. 27-64.
    • (2003) SIAM J. Sci. Comput. , vol.25 , pp. 27-64
    • Bao, W.1    Jin, S.2    Markowich, P.A.3
  • 10
    • 0041355423 scopus 로고    scopus 로고
    • Numerical methods for the generalized Zakharov system
    • W. Bao, F.F. Sun, and G.W. Wei, Numerical methods for the generalized Zakharov system, J. Comput. Phys., 190 (2003), pp. 201-228.
    • (2003) J. Comput. Phys. , vol.190 , pp. 201-228
    • Bao, W.1    Sun, F.F.2    Wei, G.W.3
  • 11
    • 0037406449 scopus 로고    scopus 로고
    • Ground state solution of trapped interacting Bose-Einstein condensate by directly minimizing the energy functional
    • W. Bao and W. Tang, Ground state solution of trapped interacting Bose-Einstein condensate by directly minimizing the energy functional, J. Comput. Phys., 187 (2003), pp. 230-254.
    • (2003) J. Comput. Phys. , vol.187 , pp. 230-254
    • Bao, W.1    Tang, W.2
  • 12
    • 4243580938 scopus 로고    scopus 로고
    • Bose-Einstein condensation of lithium: Observation of limited condensate number
    • C.C. Bradley, C.A. Sackett, and R.G. Hulet, Bose-Einstein condensation of lithium: Observation of limited condensate number, Phys. Rev. Lett., 78 (1997), pp. 985-989.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 985-989
    • Bradley, C.C.1    Sackett, C.A.2    Hulet, R.G.3
  • 13
    • 0000198919 scopus 로고    scopus 로고
    • Coherent dynamics of vortex formation in trapped Bose-Einstein condensates
    • B.M. Caradoc-Davis, R.J. Ballagh, and K. Burnett, Coherent dynamics of vortex formation in trapped Bose-Einstein condensates, Phys. Rev. Lett., 83 (1999), pp. 895-898.
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 895-898
    • Caradoc-Davis, B.M.1    Ballagh, R.J.2    Burnett, K.3
  • 14
    • 0034226876 scopus 로고    scopus 로고
    • Three-dimensional vortex dynamics in Bose-Einstein condensates
    • B.M. Caradoc-Davis, R.J. Ballagh, and P.B. Blakie, Three-dimensional vortex dynamics in Bose-Einstein condensates, Phys. Rev. A, 62 (2000), 011602.
    • (2000) Phys. Rev. A , vol.62 , pp. 011602
    • Caradoc-Davis, B.M.1    Ballagh, R.J.2    Blakie, P.B.3
  • 15
    • 0034229732 scopus 로고    scopus 로고
    • Numerical solution of the Gross-Pitaevskii equation using an explicit finite-difference scheme: An application to trapped Bose-Einstein condensates
    • M.M. Cerimele, M.L. Chiofalo, F. Pistella, S. Succi, and M.P. Tosi, Numerical solution of the Gross-Pitaevskii equation using an explicit finite-difference scheme: An application to trapped Bose-Einstein condensates, Phys. Rev. E, 62 (2000), pp. 1382-1389.
    • (2000) Phys. Rev. e , vol.62 , pp. 1382-1389
    • Cerimele, M.M.1    Chiofalo, M.L.2    Pistella, F.3    Succi, S.4    Tosi, M.P.5
  • 16
    • 0034225674 scopus 로고    scopus 로고
    • Particle-inspired scheme for the Gross-Pitaevski equation: An application to Bose-Einstein condensation
    • M.M. Cerimele, F. Pistella, and S. Succi, Particle-inspired scheme for the Gross-Pitaevski equation: An application to Bose-Einstein condensation, Comput. Phys. Comm., 129 (2000), pp. 82-90.
    • (2000) Comput. Phys. Comm. , vol.129 , pp. 82-90
    • Cerimele, M.M.1    Pistella, F.2    Succi, S.3
  • 17
    • 0037238881 scopus 로고    scopus 로고
    • Quantum phase transition in a multi-component Bose-Einstein condensate in optical lattices
    • G.-H. Chen and Y.-S. Wu, Quantum phase transition in a multi-component Bose-Einstein condensate in optical lattices, Phys. Rev. A, 67 (2003), 013606.
    • (2003) Phys. Rev. A , vol.67 , pp. 013606
    • Chen, G.-H.1    Wu, Y.-S.2
  • 18
    • 0034318663 scopus 로고    scopus 로고
    • Ground state of trapped interacting Bose-Einstein condensates by an explicit imaginary-time algorithm
    • M.L. Chiofalo, S. Succi, and M.P. Tosi, Ground state of trapped interacting Bose-Einstein condensates by an explicit imaginary-time algorithm, Phys. Rev. E, 62 (2000), pp. 7438- 7444.
    • (2000) Phys. Rev. e , vol.62 , pp. 7438-7444
    • Chiofalo, M.L.1    Succi, S.2    Tosi, M.P.3
  • 19
    • 0000724336 scopus 로고    scopus 로고
    • Bose-Einstein condensation of trapped atomic gases
    • Ph. W. Courteille, V.S. Bagnato, and Y.I. Yukalov, Bose-Einstein condensation of trapped atomic gases, Laser Phys., 11 (2001), pp. 659-800.
    • (2001) Laser Phys. , vol.11 , pp. 659-800
    • Courteille, P.W.1    Bagnato, V.S.2    Yukalov, Y.I.3
  • 20
    • 0001308050 scopus 로고    scopus 로고
    • Approximate solutions of the nonlinear Schrödinger equation for ground and excited states of Bose-Einstein condensates
    • R.J. Dodd, Approximate solutions of the nonlinear Schrödinger equation for ground and excited states of Bose-Einstein condensates, J. Res. Natl. Inst. Stan., 101 (1996), pp. 545-552.
    • (1996) J. Res. Natl. Inst. Stan. , vol.101 , pp. 545-552
    • Dodd, R.J.1
  • 21
    • 0001642649 scopus 로고
    • Numerical solution of the nonlinear Schrödinger equation for small samples of trapped neutral atoms
    • M. Edwards and K. Burnett, Numerical solution of the nonlinear Schrödinger equation for small samples of trapped neutral atoms, Phys. Rev. A, 51 (1995), pp. 1382-1386.
    • (1995) Phys. Rev. A , vol.51 , pp. 1382-1386
    • Edwards, M.1    Burnett, K.2
  • 23
    • 0034431222 scopus 로고    scopus 로고
    • Exact results on the dynamics of two-component Bose-Einstein condensate
    • P. Ghosh, Exact results on the dynamics of two-component Bose-Einstein condensate, Phys. Rev. Lett., 85 (2000), pp. 5030-5033.
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 5030-5033
    • Ghosh, P.1
  • 24
    • 0034431222 scopus 로고    scopus 로고
    • Eliminating the mean-field shift in two-component Bose-Einstein condensates
    • E.V. Goldstein, M.G. Moore, H. Pu, and P. Meystre, Eliminating the mean-field shift in two-component Bose-Einstein condensates, Phys. Rev. Lett., 85 (2000), pp. 5030-5033.
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 5030-5033
    • Goldstein, E.V.1    Moore, M.G.2    Pu, H.3    Meystre, P.4
  • 25
    • 51249193203 scopus 로고
    • Structure of a quantized vortex in boson systems
    • E.P. Gross, Structure of a quantized vortex in boson systems, Nuovo Cimento, 20 (1961), pp. 454-477.
    • (1961) Nuovo Cimento , vol.20 , pp. 454-477
    • Gross, E.P.1
  • 26
    • 0000781489 scopus 로고    scopus 로고
    • Dynamics of component separation in a binary mixture of Bose-Einstein condensates
    • D.S. Hall, M.R. Matthews, J.R. Ensher, C.E. Wieman, and E.A. Cornell, Dynamics of component separation in a binary mixture of Bose-Einstein condensates, Phys. Rev. Lett., 81 (1998), pp. 1539-1542.
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 1539-1542
    • Hall, D.S.1    Matthews, M.R.2    Ensher, J.R.3    Wieman, C.E.4    Cornell, E.A.5
  • 27
    • 0001370977 scopus 로고    scopus 로고
    • Binary mixtures of bose condensates of alkali atoms
    • T.-L. Ho and V.B. Shenoy, Binary mixtures of bose condensates of alkali atoms, Phys. Rev. Lett., 77 (1996), pp. 3276-3279.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 3276-3279
    • Ho, T.-L.1    Shenoy, V.B.2
  • 29
    • 0035612602 scopus 로고    scopus 로고
    • Quantum vortex in a vectorial Bose-Einstein condensate
    • T. Isoshima, K. Machida, and T. Ohmi, Quantum vortex in a vectorial Bose-Einstein condensate, J. Phys. Soc. Japan, 70 (2001), pp. 1604-1610.
    • (2001) J. Phys. Soc. Japan , vol.70 , pp. 1604-1610
    • Isoshima, T.1    Machida, K.2    Ohmi, T.3
  • 30
    • 0036991923 scopus 로고    scopus 로고
    • Spinor Bose-Einstein condensates with many vortices
    • T. Kita, T. Mizushima, and K. Machida, Spinor Bose-Einstein condensates with many vortices, Phys. Rev. A, 66 (2002), 061601.
    • (2002) Phys. Rev. A , vol.66 , pp. 061601
    • Kita, T.1    Mizushima, T.2    Machida, K.3
  • 32
    • 0000640185 scopus 로고    scopus 로고
    • "Stability signature" in two-species dilute Bose-Einstein condensates
    • C.K. Law, H. Pu, N.P. Bigelow, and J.H. Eberly, "Stability signature" in two-species dilute Bose-Einstein condensates, Phys. Rev. Lett., 79 (1997), pp. 3105-3108.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 3105-3108
    • Law, C.K.1    Pu, H.2    Bigelow, N.P.3    Eberly, J.H.4
  • 34
    • 0004107550 scopus 로고
    • 5th ed., Prentice-Hall International, Inc., New York
    • I.N. Levine, Quantum Chemistry, 5th ed., Prentice-Hall International, Inc., New York, 1991.
    • (1991) Quantum Chemistry
    • Levine, I.N.1
  • 35
    • 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), 043602.
    • (2000) Phys. Rev. A , vol.61 , pp. 043602
    • Lieb, E.H.1    Seiringer, R.2    Yngvason, J.3
  • 36
    • 4444285352 scopus 로고    scopus 로고
    • Production of two overlapping Bose-Einstein condensates by sympathetic cooling
    • C.J. Myatt, E.A. Burt, R.W. Ghrist, E.A. Cornell, and C.E. Wieman, Production of two overlapping Bose-Einstein condensates by sympathetic cooling, Phys. Rev. Lett., 78 (1997), pp. 586-589.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 586-589
    • Myatt, C.J.1    Burt, E.A.2    Ghrist, R.W.3    Cornell, E.A.4    Wieman, C.E.5
  • 37
    • 0000189868 scopus 로고
    • Vortex lines in an imperfect Bose gas
    • in Russian
    • L.P. Pitaevskii, Vortex lines in an imperfect Bose gas, Zh. Eksp. Teor. Fiz., 40 (1961), p. 646 (in Russian);
    • (1961) Zh. Eksp. Teor. Fiz. , vol.40 , pp. 646
    • Pitaevskii, L.P.1
  • 38
    • 0000196586 scopus 로고
    • in English
    • Sov. Phys. JETP, 13 (1961), pp. 451-454 (in English).
    • (1961) Sov. Phys. JETP , vol.13 , pp. 451-454
  • 39
    • 0000360343 scopus 로고    scopus 로고
    • Properties of two-species Bose condensates
    • H. Pu and N.P. Bigelow, Properties of two-species Bose condensates, Phys. Rev. Lett., 80 (1998), pp. 1130-1133.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 1130-1133
    • Pu, H.1    Bigelow, N.P.2
  • 40
    • 0000515840 scopus 로고
    • Time-dependent solution of the nonlinear Schrödinger equation for Bose-condensed trapped neutral atoms
    • P.A. Ruprecht, M.J. Holland, K. Burrett, and M. Edwards, Time-dependent solution of the nonlinear Schrödinger equation for Bose-condensed trapped neutral atoms, Phys. Rev. A, 51 (1995), pp. 4704-4711.
    • (1995) Phys. Rev. A , vol.51 , pp. 4704-4711
    • Ruprecht, P.A.1    Holland, M.J.2    Burrett, K.3    Edwards, M.4
  • 41
    • 0001098104 scopus 로고    scopus 로고
    • Numerical approach to the ground and excited states of a Bose-Einstein condensated gas confined in a completely anisotropic trap
    • B.I. Schneider and D.L. Feder, Numerical approach to the ground and excited states of a Bose-Einstein condensated gas confined in a completely anisotropic trap, Phys. Rev. A, 59 (1999), pp. 2232-2242.
    • (1999) Phys. Rev. A , vol.59 , pp. 2232-2242
    • Schneider, B.I.1    Feder, D.L.2
  • 42
    • 0003043791 scopus 로고
    • Bose condensation in spin-polarized atomic hydrogen
    • E.D. Siggia and A.E. Ruckenstein, Bose condensation in spin-polarized atomic hydrogen, Phys. Rev. Lett., 44 (1980), pp. 1423-1426.
    • (1980) Phys. Rev. Lett. , vol.44 , pp. 1423-1426
    • Siggia, E.D.1    Ruckenstein, A.E.2
  • 43
    • 0000137102 scopus 로고
    • Asymptotics for a class of nonlinear evolution equations, with applications to geometric problems
    • L. Simon, Asymptotics for a class of nonlinear evolution equations, with applications to geometric problems, Ann. of Math. (2), 118 (1983), pp. 525-571.
    • (1983) Ann. of Math. (2) , vol.118 , pp. 525-571
    • Simon, L.1


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