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Volumn 234, Issue 1, 2007, Pages 49-69

Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation

Author keywords

Angular momentum expectation; Angular momentum rotation; Condensate width; Coupled Gross Pitaevskii equations; Quantized vortex lattice; Rotating two component Bose Einstein condensation

Indexed keywords

ANGULAR MOMENTUM; BOSE-EINSTEIN CONDENSATION; INVARIANCE; NUMERICAL METHODS; TWO DIMENSIONAL;

EID: 34548215057     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2007.06.026     Document Type: Article
Times cited : (52)

References (44)
  • 1
    • 0035917810 scopus 로고    scopus 로고
    • Observation of vortex lattices in Bose-Einstein condensates
    • Abo-Shaeer J.R., Raman C., Vogels J.M., and Ketterle W. Observation of vortex lattices in Bose-Einstein condensates. 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
  • 3
    • 0037075612 scopus 로고    scopus 로고
    • Bose-Einstein condensation of atomic gases
    • Anglin J.R., and Ketterle W. Bose-Einstein condensation of atomic gases. Nature 416 (2002) 211-218
    • (2002) Nature , vol.416 , pp. 211-218
    • Anglin, J.R.1    Ketterle, W.2
  • 4
    • 4344565694 scopus 로고    scopus 로고
    • Ground states and dynamics of multicomponent Bose-Einstein condensates
    • Bao W. Ground states and dynamics of multicomponent Bose-Einstein condensates. Multiscale Model. Simul. 2 (2004) 210-236
    • (2004) Multiscale Model. Simul. , vol.2 , pp. 210-236
    • Bao, W.1
  • 5
    • 33745667769 scopus 로고    scopus 로고
    • Dynamics of rotating Bose-Einstein condensates and their efficient and accurate numerical computation
    • Bao W., Du Q., and Zhang Y. Dynamics of rotating Bose-Einstein condensates and their efficient and accurate numerical computation. SIAM J. Appl. Math. 66 (2006) 758-786
    • (2006) SIAM J. Appl. Math. , vol.66 , pp. 758-786
    • Bao, W.1    Du, Q.2    Zhang, Y.3
  • 6
    • 0037408314 scopus 로고    scopus 로고
    • Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation
    • Bao W., Jaksch D., and Markowich P.A. Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation. J. Comput. Phys. 187 (2003) 318-342
    • (2003) J. Comput. Phys. , vol.187 , pp. 318-342
    • Bao, W.1    Jaksch, D.2    Markowich, P.A.3
  • 7
    • 33748421804 scopus 로고    scopus 로고
    • An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates
    • Bao W., and Wang H. An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates. J. Comput. Phys. 217 (2006) 612-626
    • (2006) J. Comput. Phys. , vol.217 , pp. 612-626
    • Bao, W.1    Wang, H.2
  • 8
    • 47349106037 scopus 로고    scopus 로고
    • Ground, symmetric and central vortex states in rotating Bose-Einstein condensates
    • Bao W., Wang H., and Markowich P.A. Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Comm. Math. Sci. 3 (2005) 57-88
    • (2005) Comm. Math. Sci. , vol.3 , pp. 57-88
    • Bao, W.1    Wang, H.2    Markowich, P.A.3
  • 9
    • 28644437242 scopus 로고    scopus 로고
    • Dynamics of the ground state and central vortex states in Bose-Einstein condensation
    • Bao W., and Zhang Y. Dynamics of the ground state and central vortex states in Bose-Einstein condensation. Math. Models Methods Appl. Sci. 15 (2005) 1863-1896
    • (2005) Math. Models Methods Appl. Sci. , vol.15 , pp. 1863-1896
    • Bao, W.1    Zhang, Y.2
  • 10
    • 4243580938 scopus 로고    scopus 로고
    • Bose-Einstein condensation of lithium: observation of limited condensate number
    • Bradley C.C., Sackett C.A., and Hulet R.G. Bose-Einstein condensation of lithium: observation of limited condensate number. Phys. Rev. Lett. 78 (1997) 985-989
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 985-989
    • Bradley, C.C.1    Sackett, C.A.2    Hulet, R.G.3
  • 11
    • 8744291229 scopus 로고    scopus 로고
    • Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate
    • Chang S.-M., Lin W.-W., and Shieh S.-F. Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate. J. Comput. Phys. 202 (2005) 367-390
    • (2005) J. Comput. Phys. , vol.202 , pp. 367-390
    • Chang, S.-M.1    Lin, W.-W.2    Shieh, S.-F.3
  • 12
    • 4344617682 scopus 로고    scopus 로고
    • Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
    • Chang S.M., Lin C.S., Lin T.C., and Lin W.W. Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates. Physica D 196 (2004) 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
  • 13
    • 23044521994 scopus 로고    scopus 로고
    • Phase separation and vortex states in the binary mixture of Bose-Einstein condensates
    • Chui S.T., Ryzhov V.N., and Tareyeva E.E. Phase separation and vortex states in the binary mixture of Bose-Einstein condensates. J. Exp. Theor. Phys. 91 (2000) 1183-1189
    • (2000) J. Exp. Theor. Phys. , vol.91 , pp. 1183-1189
    • Chui, S.T.1    Ryzhov, V.N.2    Tareyeva, E.E.3
  • 16
    • 0042947743 scopus 로고    scopus 로고
    • Stable and unstable vortices in multicomponent Bose-Einstein condensates
    • García-Ripoll J.J., and Pérez-García V.M. Stable and unstable vortices in multicomponent Bose-Einstein condensates. Phys. Rev. Lett. 84 (2000) 4264-4267
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 4264-4267
    • García-Ripoll, J.J.1    Pérez-García, V.M.2
  • 17
    • 0036702099 scopus 로고    scopus 로고
    • Split vortices in optically coupled Bose-Einstein condensates
    • García-Ripoll J.J., and Pérez-García V.M. Split vortices in optically coupled Bose-Einstein condensates. Phys. Rev. A 66 (2002) 021602
    • (2002) Phys. Rev. A , vol.66 , pp. 021602
    • García-Ripoll, J.J.1    Pérez-García, V.M.2
  • 18
    • 0035509440 scopus 로고    scopus 로고
    • Construction of exact solutions by spatial translations in inhomogeneous nonlinear Schrödinger equations
    • García-Ripoll J.J., Pérez-García V.M., and Vekslerchik V. Construction of exact solutions by spatial translations in inhomogeneous nonlinear Schrödinger equations. Phys. Rev. E 64 (2001) 056602
    • (2001) Phys. Rev. E , vol.64 , pp. 056602
    • García-Ripoll, J.J.1    Pérez-García, V.M.2    Vekslerchik, V.3
  • 19
    • 0002375163 scopus 로고    scopus 로고
    • Quantum hydrodynamics, Winger transforms and the classical limit
    • Gasser I., and Markowich P.A. Quantum hydrodynamics, Winger transforms and the classical limit. Asymptot. Anal. 14 (1997) 97-116
    • (1997) Asymptot. Anal. , vol.14 , pp. 97-116
    • Gasser, I.1    Markowich, P.A.2
  • 21
    • 0034431222 scopus 로고    scopus 로고
    • Eliminating the mean-field shift in two-component Bose-Einstein condensates
    • Goldstein E.V., Moore M.G., Pu H., and Meystre P. Eliminating the mean-field shift in two-component Bose-Einstein condensates. Phys. Rev. Lett. 85 (2000) 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
  • 22
    • 0000781489 scopus 로고    scopus 로고
    • Dynamics of component separation in a binary mixture of Bose-Einstein condensates
    • Hall D.S., Matthews M.R., Ensher J.R., Wieman C.E., and Cornell E.A. Dynamics of component separation in a binary mixture of Bose-Einstein condensates. Phys. Rev. Lett. 81 (1998) 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
  • 23
    • 0001370977 scopus 로고    scopus 로고
    • Binary mixtures of Bose condensates of alkali atoms
    • Ho T.-L., and Shenoy V.B. Binary mixtures of Bose condensates of alkali atoms. Phys. Rev. Lett. 77 (1996) 3276-3279
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 3276-3279
    • Ho, T.-L.1    Shenoy, V.B.2
  • 25
    • 4244098292 scopus 로고    scopus 로고
    • Structure of vortices in two-component Bose-Einstein condensates
    • Jezek D.M., Capuzzi P., and Cataldo H.M. Structure of vortices in two-component Bose-Einstein condensates. Phys. Rev. A 64 (2001) 023605
    • (2001) Phys. Rev. A , vol.64 , pp. 023605
    • Jezek, D.M.1    Capuzzi, P.2    Cataldo, H.M.3
  • 26
    • 2542456603 scopus 로고    scopus 로고
    • Vortex phase diagram in rotating two-component Bose-Einstein condensates
    • Kasamatsu K., Tsubota M., and Ueda M. Vortex phase diagram in rotating two-component Bose-Einstein condensates. Phys. Rev. Lett. 91 (2003) 150406
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 150406
    • Kasamatsu, K.1    Tsubota, M.2    Ueda, M.3
  • 27
    • 20944435767 scopus 로고    scopus 로고
    • Vortices in multicomponent Bose-Einstein condensates
    • Kasamatsu K., Tsubota M., and Ueda M. Vortices in multicomponent Bose-Einstein condensates. Internat. J. Modern Phys. B 19 (2005) 1835-1904
    • (2005) Internat. J. Modern Phys. B , vol.19 , pp. 1835-1904
    • Kasamatsu, K.1    Tsubota, M.2    Ueda, M.3
  • 28
    • 0036031949 scopus 로고    scopus 로고
    • A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries
    • Lai M.-C., Lin W.-W., and Wang W. A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries. IMA J. Numer. Anal. 22 (2002) 537-548
    • (2002) IMA J. Numer. Anal. , vol.22 , pp. 537-548
    • Lai, M.-C.1    Lin, W.-W.2    Wang, W.3
  • 29
    • 0000640185 scopus 로고    scopus 로고
    • "Stability signature" in two-species dilute Bose-Einstein condensates
    • Law C.K., Pu H., Bigelow N.P., and Eberly J.H. "Stability signature" in two-species dilute Bose-Einstein condensates. Phys. Rev. Lett. 79 (1997) 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
  • 30
    • 33645993919 scopus 로고    scopus 로고
    • Derivation of the Gross-Pitaevskii equation for rotating Bose gases
    • Lieb E.H., and Seiringer R. Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Comm. Math. Phys. 264 (2006) 505-537
    • (2006) Comm. Math. Phys. , vol.264 , pp. 505-537
    • Lieb, E.H.1    Seiringer, R.2
  • 31
    • 11244336660 scopus 로고    scopus 로고
    • Ground state energy of the two-component charged Bose gas
    • Lieb E.H., and Solovej J.P. Ground state energy of the two-component charged Bose gas. Comm. Math. Phys. 252 (2004) 485-534
    • (2004) Comm. Math. Phys. , vol.252 , pp. 485-534
    • Lieb, E.H.1    Solovej, J.P.2
  • 33
    • 33747168470 scopus 로고    scopus 로고
    • Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials
    • Lin T.-C., and Wei J. Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials. J. Differential Equations 229 (2006) 538-569
    • (2006) J. Differential Equations , vol.229 , pp. 538-569
    • Lin, T.-C.1    Wei, J.2
  • 35
    • 2342514270 scopus 로고    scopus 로고
    • Numerical methods for atomic quantum gases with applications to Bose-Einstein condensates and to ultracold fermions
    • Minguzzi A., Succi S., Toschi F., Tosi M.P., and Vignolo P. Numerical methods for atomic quantum gases with applications to Bose-Einstein condensates and to ultracold fermions. Phys. Rep. 395 (2004) 223-355
    • (2004) Phys. Rep. , vol.395 , pp. 223-355
    • Minguzzi, A.1    Succi, S.2    Toschi, F.3    Tosi, M.P.4    Vignolo, P.5
  • 36
    • 4043154576 scopus 로고    scopus 로고
    • Two-component Bose-Einstein condensates with a large number of vortices
    • Mueller E.J., and Ho T.-L. Two-component Bose-Einstein condensates with a large number of vortices. Phys. Rev. Lett. 88 (2002) 180403
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 180403
    • Mueller, E.J.1    Ho, T.-L.2
  • 37
    • 4444285352 scopus 로고    scopus 로고
    • Production of two overlapping Bose-Einstein condensates by sympathetic cooling
    • Myatt C.J., Burt E.A., Ghrist R.W., Cornell E.A., and Wieman C.E. Production of two overlapping Bose-Einstein condensates by sympathetic cooling. Phys. Rev. Lett. 78 (1997) 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
  • 39
    • 0000360343 scopus 로고    scopus 로고
    • Properties of two-species Bose condensates
    • Pu H., and Bigelow N.P. Properties of two-species Bose condensates. Phys. Rev. Lett. 80 (1998) 1130-1133
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 1130-1133
    • Pu, H.1    Bigelow, N.P.2
  • 40
    • 0036599953 scopus 로고    scopus 로고
    • Topology of the ground state of two interacting Bose-Einstein condensates
    • Riboli F., and Modugno M. Topology of the ground state of two interacting Bose-Einstein condensates. Phys. Rev. A 65 (2002) 063614
    • (2002) Phys. Rev. A , vol.65 , pp. 063614
    • Riboli, F.1    Modugno, M.2
  • 41
    • 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
    • Schneider B.I., and Feder D.L. 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) 2232-2242
    • (1999) Phys. Rev. A , vol.59 , pp. 2232-2242
    • Schneider, B.I.1    Feder, D.L.2
  • 43
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • Strang G. On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 5 (1968) 505-517
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 505-517
    • Strang, G.1
  • 44
    • 34147157955 scopus 로고    scopus 로고
    • Dynamics of the center of mass in rotating Bose-Einstein condensates
    • Zhang Y., and Bao W. Dynamics of the center of mass in rotating Bose-Einstein condensates. Appl. Numer. Math. 57 (2007) 697-709
    • (2007) Appl. Numer. Math. , vol.57 , pp. 697-709
    • Zhang, Y.1    Bao, W.2


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