메뉴 건너뛰기




Volumn 1, Issue 1, 2011, Pages 49-81

Ground states of two-component Bose-Einstein condensates with an internal atomic josephson junction

Author keywords

Bose einstein condensate; Coupled gross pitaevskii equations; Energy; Ground state; Internal atomic josephson Junction; Normalized gradient flow; Two component

Indexed keywords


EID: 84894597224     PISSN: 20797362     EISSN: 20797370     Source Type: Journal    
DOI: 10.4208/eajam.190310.170510a     Document Type: Article
Times cited : (73)

References (38)
  • 1
    • 11944274056 scopus 로고
    • Observation of Bose-Einstein condensation in a dilute atomic vapor
    • M. H. ANDERSON, J. R. ENSHER, M. R. MATTHEWA, 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    Matthewa, M.R.3    Wieman, C.E.4    Cornell, E.A.5
  • 2
    • 4344565694 scopus 로고    scopus 로고
    • Ground states and dynamics of multicomponent Bose-Einstein condensates
    • W. BAO, Ground states and dynamics of multicomponent Bose-Einstein condensates, Multiscale Model. Simul., 2 (2004), pp. 210-236.
    • (2004) Multiscale Model. Simul. , vol.2 , pp. 210-236
    • Bao, W.1
  • 3
    • 79960151202 scopus 로고    scopus 로고
    • Analysis and efficient computation for the dynamics of two-component Bose-Einstien condensates
    • W. BAO, Analysis and efficient computation for the dynamics of two-component Bose-Einstien condensates, Contemporary Math., 473 (2008), pp. 1-26.
    • (2008) Contemporary Math. , vol.473 , pp. 1-26
    • Bao, W.1
  • 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
    • 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
  • 6
    • 53349177418 scopus 로고    scopus 로고
    • Computing ground states of spin-1 Bose-Einstein condensates by the normalized gradient flow
    • W. BAO AND F. Y. LIM, Computing ground states of spin-1 Bose-Einstein condensates by the normalized gradient flow, SIAM J. Sci. Comput., 30 (2008), pp. 1925-1948.
    • (2008) SIAM J. Sci. Comput. , vol.30 , pp. 1925-1948
    • Bao, W.1    Lim, F.Y.2
  • 7
    • 50049130980 scopus 로고    scopus 로고
    • A mass and magnetization conservative and energy diminishing numerical method for computing ground state of spin-1 Bose-Einstein condensates
    • W. BAO AND H.WANG, A mass and magnetization conservative and energy diminishing numerical method for computing ground state of spin-1 Bose-Einstein condensates, SIAM J. Numer. Anal., 45 (2007), pp. 2177-2200.
    • (2007) SIAM J. Numer. Anal. , vol.45 , pp. 2177-2200
    • Bao, W.1    Wang, H.2
  • 8
    • 4243132347 scopus 로고
    • Evidence of Bose-Einstein condensation in an atomic gas with attractive interaction
    • C. C. BRADLEY, C. A. SACKETT, J. J. TOLLETT AND R. G. HULET, Evidence of Bose-Einstein condensation in an atomic gas with attractive interaction, Phys. Rev. Lett., 75 (1995), pp. 1687-1690.
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 1687-1690
    • Bradley, C.C.1    Sackett, C.A.2    Tollett, J.J.3    Hulet, R.G.4
  • 9
    • 34247383085 scopus 로고    scopus 로고
    • An optimal partition problem for eigenvalues
    • L. CAFFERELLI AND F. H. LIN, An optimal partition problem for eigenvalues, J. Sci. Comput., 31 (2007), pp. 5-18.
    • (2007) J. Sci. Comput. , vol.31 , pp. 5-18
    • Cafferelli, L.1    Lin, L.H.2
  • 10
    • 45149107648 scopus 로고    scopus 로고
    • Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems
    • M. CALIARI AND M. SQUASSINA, Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems, Dynamics of PDE, 5 (2008), pp. 117-137.
    • (2008) Dynamics of PDE , vol.5 , pp. 117-137
    • Caliari, M.1    Squassina, M.2
  • 11
    • 56549128326 scopus 로고    scopus 로고
    • A minimisation approach for computing the ground state of Gross-Pitaevskii systems
    • M. Caliari, A. Ostermann, S. Rainer and M. Thalhammer, A minimisation approach for computing the ground state of Gross-Pitaevskii systems, J. Comput. Phys., 228 (2009), pp. 349-360.
    • (2009) J. Comput. Phys. , vol.228 , pp. 349-360
    • Caliari, M.1    Ostermann, A.2    Rainer, S.3    Thalhammer, M.4
  • 12
    • 8744291229 scopus 로고    scopus 로고
    • Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate
    • S. M. CHANG, W. W. LIN AND S. F., SHIEH, Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate, J. Comput. Phys., 202 (2005), pp. 367-390.
    • (2005) J. Comput. Phys. , vol.202 , pp. 367-390
    • Chang, S.M.1    Lin, W.W.2    Shieh, S.F.3
  • 13
    • 4344617682 scopus 로고    scopus 로고
    • Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
    • S. M. CHANG, C. S. LIN, T. C. LIN AND W. W. LIN, Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates, Physica D, 196 (2004), pp. 341-361.
    • (2004) Physica D , vol.196 , pp. 341-361
    • Chang, S.M.1    Lin, C.S.2    Lin, T.C.3    Lin, W.W.4
  • 14
    • 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
  • 16
    • 58149348349 scopus 로고    scopus 로고
    • Numerical approximations of a norm preserving gradient flow and applications to an optimal partition problem
    • Q. DU AND F. H. LIN, Numerical approximations of a norm preserving gradient flow and applications to an optimal partition problem, Nonlinearity, 22 (2009), pp. 67-83.
    • (2009) Nonlinearity , vol.22 , pp. 67-83
    • Du, Q.1    Lin, F.H.2
  • 17
    • 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. 539-1542
    • Hall, D.S.1    Matthews, M.R.2    Ensher, J.R.3    Wieman, C.E.4    Cornell, E.A.5
  • 18
    • 4244125981 scopus 로고    scopus 로고
    • Measurements of relative phase in two-component Bose-Einstein condensates
    • D. S. HALL, M. R. MATTHEWS, C. E. WIEMAN AND E. A. CORNELL, Measurements of relative phase in two-component Bose-Einstein condensates, Phys. Rev. Lett., 81 (1998), pp 1543-1546.
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 543-1546
    • Hall, D.S.1    Matthews, M.R.2    Wieman, C.E.3    Cornell, E.A.4
  • 19
    • 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
  • 21
    • 0037856123 scopus 로고    scopus 로고
    • Nonlinear dynamics for vortex formation in a rotating Bose-Einstein condensate
    • article
    • K. KASAMATSU AND M. TSUBOTA, Nonlinear dynamics for vortex formation in a rotating Bose-Einstein condensate, Phys. Rev. A, 67 (2003), article 033610.
    • (2003) Phys. Rev. A , vol.67 , pp. 033610
    • Kasamatsu, K.1    Tsubota, M.2
  • 22
    • 2542456603 scopus 로고    scopus 로고
    • Vortex phase diagram in rotating two-component Bose-Einstein condensates
    • article
    • K. KASAMATSU, M. TSUBOTA AND M. UEDA, Vortex phase diagram in rotating two-component Bose-Einstein condensates, Phys. Rev. Lett., 91 (2003), article 150406.
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 150406
    • Kasamatsu, K.1    Tsubota, M.2    Ueda, M.3
  • 23
    • 0347107495 scopus 로고    scopus 로고
    • Bosons in a trap: a rigorous derivation of the Gross-Pitaevskii energy functional
    • article
    • E. H. LIEB, R. SEIRINGER AND J. YNGVASON, Bosons in a trap: a rigorous derivation of the Gross-Pitaevskii energy functional, Phy. Rev. A, 61 (2000), article 043602.
    • (2000) Phy. Rev. A , vol.61 , pp. 043602
    • Lieb, E.H.1    Seiringer, R.2    Yngvason, J.3
  • 24
    • 11244336660 scopus 로고    scopus 로고
    • Ground state energy of the two-component charged Bose gas
    • E. H. LIEB AND J. P. SOLOVEJ, Ground state energy of the two-component charged Bose gas, Comm. Math. Phys., 252 (2004), pp. 485-534.
    • (2004) Comm. Math. Phys. , vol.252 , pp. 485-534
    • Lieb, E.H.1    Solovej, J.P.2
  • 26
    • 33747168470 scopus 로고    scopus 로고
    • Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials
    • T. -C. LIN AND J. WEI, Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials, J. Diff. Equ., 229 (2006), pp. 538-569.
    • (2006) J. Diff. Equ. , vol.229 , pp. 538-569
    • Lin, T.-C.1    Wei, J.2
  • 27
    • 50249171665 scopus 로고    scopus 로고
    • Two-component Bose-Einstein condensates
    • Z. LIU, Two-component Bose-Einstein condensates, J. Math. Anal. Appl., 348 (2008), pp. 274-285.
    • (2008) J. Math. Anal. Appl. , vol.348 , pp. 274-285
    • Liu, Z.1
  • 28
    • 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
  • 29
    • 0037930223 scopus 로고    scopus 로고
    • Bose-Einstein condensation
    • Clarendon Press
    • L. P. PITAEVSKII AND S. STRINGARI, Bose-Einstein condensation, Clarendon Press, 2003.
    • (2003)
    • Pitaevskii, L.P.1    Stringari, S.2
  • 30
    • 0033343529 scopus 로고    scopus 로고
    • Output from an atom laser: theory vs. experiment
    • J. SCHNEIDER AND A. SCHENZLE, Output from an atom laser: theory vs. experiment, Appl. Phys. B, 69 (1999), pp. 353-356.
    • (1999) Appl. Phys. B , vol.69 , pp. 353-356
    • Schneider, J.1    Schenzle, A.2
  • 31
    • 0346480987 scopus 로고    scopus 로고
    • Investigations of a two-mode atom-laser model
    • article
    • J. SCHNEIDER AND A. SCHENZLE, Investigations of a two-mode atom-laser model, Phys. Rev. A, 61 (2000), article 053611.
    • (2000) Phys. Rev. A , vol.61 , pp. 053611
    • Schneider, J.1    Schenzle, A.2
  • 32
    • 0001098104 scopus 로고    scopus 로고
    • Numerical approach to the ground and excited states of a Bose-Einstein condensed 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 condensed 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
  • 33
    • 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. Math., 118 (1983), pp. 525-571.
    • (1983) Ann. Math. , vol.118 , pp. 525-571
    • Simon, L.1
  • 35
    • 67349131606 scopus 로고    scopus 로고
    • Numerical simulations on stationary states for rotating two-component Bose-Einstein condensates
    • H. WANG, Numerical simulations on stationary states for rotating two-component Bose-Einstein condensates, J. Sci. Ccmput., 38 (2009), pp. 149-163.
    • (2009) J. Sci. Ccmput. , vol.38 , pp. 149-163
    • Wang, H.1
  • 36
    • 0041473959 scopus 로고
    • Nonlinear Schrödinger equations and sharp interpolation estimates
    • M. I. WEINSTEIN, Nonlinear Schrödinger equations and sharp interpolation estimates, Commun. Math. Phy. 87 (1983), pp. 567-576.
    • (1983) Commun. Math. Phy. , vol.87 , pp. 567-576
    • Weinstein, M.I.1
  • 37
    • 0001925505 scopus 로고    scopus 로고
    • Nonlinear Josephson-type oscillations of a driven two-component Bose-Einstein condensate
    • article
    • J. WILLIAMS, R. WALSER, J. COOPER, E. CORNELL, AND M. HOLLAND, Nonlinear Josephson-type oscillations of a driven two-component Bose-Einstein condensate, Phys. Rev. A, 59 (1999), article R31-R34.
    • (1999) Phys. Rev. A , vol.59
    • Williams, J.1    Walser, R.2    Cooper, J.3    Cornell, E.4    Holland, M.5
  • 38
    • 34548215057 scopus 로고    scopus 로고
    • Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation
    • Y. ZHANG, W. BAO AND H. LI, Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation, Physica D, 234 (2007), pp. 49-69.
    • (2007) Physica D , vol.234 , pp. 49-69
    • Zhang, Y.1    Bao, W.2    Li, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.