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Volumn 182, Issue 3, 2011, Pages 706-718

An efficient numerical method for simulating the dynamics of coupling Bose-Einstein condensates in optical resonators

Author keywords

Bose Einstein condensates; Gross Pitaevskii equations; Numerical simulation; Sine pseudospectral method

Indexed keywords

BOSE-EINSTEIN CONDENSATES; DYNAMICAL PROPERTIES; EFFICIENT NUMERICAL METHOD; GROSS-PITAEVSKII EQUATION; INTEGRATION FACTOR; LOW TEMPERATURES; NUMERICAL SIMULATION; PSEUDOSPECTRAL METHODS; SPECTRAL ACCURACY; TIME SPLITTING;

EID: 78650741614     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2010.12.010     Document Type: Article
Times cited : (3)

References (25)
  • 1
    • 0442300961 scopus 로고    scopus 로고
    • An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity
    • W. Bao, and D. Jaksch An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity SIAM J. Numer. Anal. 41 2003 1406 1426
    • (2003) SIAM J. Numer. Anal. , vol.41 , pp. 1406-1426
    • Bao, W.1    Jaksch, D.2
  • 2
    • 4344565694 scopus 로고    scopus 로고
    • Ground states and dynamics of multi-component Bose-Einstein condensates
    • W. Bao Ground states and dynamics of multi-component Bose-Einstein condensates SIAM Multiscale Modeling Simul. 2 2004 210 236
    • (2004) SIAM Multiscale Modeling Simul. , vol.2 , pp. 210-236
    • Bao, W.1
  • 3
    • 0037138007 scopus 로고    scopus 로고
    • On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
    • W. Bao, Shi Jin, and P.A. Markowich On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime J. Comput. Phys. 175 2002 487
    • (2002) J. Comput. Phys. , vol.175 , pp. 487
    • Bao, W.1    Jin, S.2    Markowich, P.A.3
  • 4
    • 78650758389 scopus 로고    scopus 로고
    • A generalized Laguerre-Fourier-Hermite pseudospectral method for computing the dynamics of rotating Bose-Einstein condensates
    • W. Bao, H. Li, and J. Shen A generalized Laguerre-Fourier-Hermite pseudospectral method for computing the dynamics of rotating Bose-Einstein condensates SIAM J. Sci. Comput. 31 2009 3685 3711
    • (2009) SIAM J. Sci. Comput. , vol.31 , pp. 3685-3711
    • Bao, W.1    Li, H.2    Shen, J.3
  • 5
    • 18144389899 scopus 로고    scopus 로고
    • A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates
    • W. Bao, and J. Shen A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates SIAM J. Sci. Comput. 26 2005 2010 2028
    • (2005) SIAM J. Sci. Comput. , vol.26 , pp. 2010-2028
    • Bao, W.1    Shen, J.2
  • 6
    • 28644437242 scopus 로고    scopus 로고
    • Dynamics of the ground state and central vortex states in Bose-Einstein condensation
    • W. Bao, and Y. Zhang Dynamics of the ground state and central vortex states in Bose-Einstein condensation Math. Models Meth. Appl. Sci. 15 2005 1863 1896
    • (2005) Math. Models Meth. Appl. Sci. , vol.15 , pp. 1863-1896
    • Bao, W.1    Zhang, Y.2
  • 7
    • 34548215057 scopus 로고    scopus 로고
    • Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation
    • DOI 10.1016/j.physd.2007.06.026, PII S0167278907002059
    • W. Bao, Y. Zhang, and H. Li Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation Physica D 234 2007 49 69 (Pubitemid 47333301)
    • (2007) Physica D: Nonlinear Phenomena , vol.234 , Issue.1 , pp. 49-69
    • Zhang, Y.1    Bao, W.2    Li, H.3
  • 8
    • 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 1382 1386
    • (1995) Phys. Rev. A , vol.51 , pp. 1382-1386
    • Edwards, M.1    Burnett, K.2
  • 9
    • 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 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
  • 10
    • 4244125981 scopus 로고    scopus 로고
    • Measurements of relative phase in two-component Bose-Einstein condensates
    • D.S. Hall, M.R. Mattews, C.E. Wieman, and E.A. Cornell Measurements of relative phase in two-component Bose-Einstein condensates Phys. Rev. Lett. 81 1998 1543 1546
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 1543-1546
    • Hall, D.S.1    Mattews, M.R.2    Wieman, C.E.3    Cornell, E.A.4
  • 11
    • 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 3276
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 3276
    • Ho, T.L.1    Shenoy, V.B.2
  • 13
    • 0038045487 scopus 로고    scopus 로고
    • Bose-Einstein dynamics in three dimensions by the pseudospectral and finite-difference methods
    • P. Muruganandam, and S.K. Adhikari Bose-Einstein dynamics in three dimensions by the pseudospectral and finite-difference methods J. Phys. B: At. Mol. Opt. Phys. 36 2003 2501 2513
    • (2003) J. Phys. B: At. Mol. Opt. Phys. , vol.36 , pp. 2501-2513
    • Muruganandam, P.1    Adhikari, S.K.2
  • 14
    • 2342514270 scopus 로고    scopus 로고
    • Numerical methods for atomic quantum gases with applications to Bose-Einstein condensates and to ultracold fermions
    • A. Minguzzia, S. Succib, F. Toschib, M.P. Tosia, and P. Vignoloa 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
    • Minguzzia, A.1    Succib, S.2    Toschib, F.3    Tosia, M.P.4    Vignoloa, P.5
  • 15
    • 4244178431 scopus 로고    scopus 로고
    • Dynamics of two colliding Bose-Einstein condensates in an elongated magnetostatic trap
    • M. Modugno, F. Dalfovo, C. Fort, P. Maddaloni, and F. Minardi Dynamics of two colliding Bose-Einstein condensates in an elongated magnetostatic trap Phys. Rev. A 62 2000 063607
    • (2000) Phys. Rev. A , vol.62 , pp. 063607
    • Modugno, M.1    Dalfovo, F.2    Fort, C.3    Maddaloni, P.4    Minardi, F.5
  • 16
    • 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 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
  • 18
    • 0000515840 scopus 로고
    • Time-dependent solution of the nonlinear Schrödinger equation for Bose-condensed trapped neutral atoms
    • P.A. Ruprecht, M.J. Holland, K. Burnett, and M. Edwards Time-dependent solution of the nonlinear Schrödinger equation for Bose-condensed trapped neutral atoms Phys. Rev. A 51 1995 4704 4711
    • (1995) Phys. Rev. A , vol.51 , pp. 4704-4711
    • Ruprecht, P.A.1    Holland, M.J.2    Burnett, K.3    Edwards, M.4
  • 23
    • 0037774726 scopus 로고    scopus 로고
    • Numerical methods for the simulation of trapped nonlinear Schrödinger systems
    • V.M. Perez-Garcia, and X.Y. Liu Numerical methods for the simulation of trapped nonlinear Schrödinger systems Appl. Math. Comput. 144 2003 215 235
    • (2003) Appl. Math. Comput. , vol.144 , pp. 215-235
    • Perez-Garcia, V.M.1    Liu, X.Y.2
  • 24
    • 0033533833 scopus 로고    scopus 로고
    • Preparing topological states of a Bose-Einstein condensate
    • J.E. Williams, and M.J. Holland Preparing topological states of a Bose-Einstein condensate Nature 401 1999 568 571
    • (1999) Nature , vol.401 , pp. 568-571
    • Williams, J.E.1    Holland, M.J.2


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