메뉴 건너뛰기




Volumn 217, Issue 2, 2006, Pages 612-626

An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates

Author keywords

Angular momentum rotation; Gross Pitaevskii equation; Rotating Bose Einstein condensates; Time spitting

Indexed keywords

ANGULAR MOMENTUM; BOSE-EINSTEIN CONDENSATION; CONTROL NONLINEARITIES; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; STATISTICAL MECHANICS;

EID: 33748421804     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.01.020     Document Type: Article
Times cited : (139)

References (41)
  • 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
    • (2001) Science , vol.292 , pp. 476
    • Abo-Shaeer, J.R.1    Raman, C.2    Vogels, J.M.3    Ketterle, W.4
  • 2
    • 0037179013 scopus 로고    scopus 로고
    • Effect of an impulsive force on vortices in a rotating Bose-Einstein condensate
    • Adhikari S.K., and Muruganandam P. Effect of an impulsive force on vortices in a rotating Bose-Einstein condensate. Phys. Lett. A 301 (2002) 333-339
    • (2002) Phys. Lett. A , vol.301 , pp. 333-339
    • Adhikari, S.K.1    Muruganandam, P.2
  • 3
    • 4243961414 scopus 로고    scopus 로고
    • Vortices in a rotating Bose-Einstein condensate: critical angular velocities and energy diagrams in the Thomas-Fermi regime
    • Aftalion A., and Du Q. 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
  • 4
    • 4344565694 scopus 로고    scopus 로고
    • Ground states and dynamics of multi-component Bose-Einstein condensates
    • Bao W. Ground states and dynamics of multi-component Bose-Einstein condensates. Multiscale Modeling and Simulation 2 (2004) 210-236
    • (2004) Multiscale Modeling and Simulation , vol.2 , pp. 210-236
    • Bao, W.1
  • 5
    • 85190571706 scopus 로고    scopus 로고
    • W. Bao, Q. Du and Y. Zhang, Dynamics of rotating Bose-Einstein condensates and their efficient and accurate numerical computation, SIAM J. Appl. Math., to appear.
  • 6
    • 0442300961 scopus 로고    scopus 로고
    • An explicit unconditionally stable numerical method for solving damped nonlinear Schrodinger equations with a focusing nonlinearity
    • Bao W., and Jaksch D. An explicit unconditionally stable numerical method for solving damped nonlinear Schrodinger 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
  • 7
    • 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
  • 8
    • 0442279560 scopus 로고    scopus 로고
    • Three dimensional simulation of Jet formation in collapsing condensates
    • Bao W., Jaksch D., and Markowich P.A. Three dimensional simulation of Jet formation in collapsing condensates. J. Phys. B 37 (2004) 329-343
    • (2004) J. Phys. B , vol.37 , pp. 329-343
    • Bao, W.1    Jaksch, D.2    Markowich, P.A.3
  • 9
    • 0037138007 scopus 로고    scopus 로고
    • On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
    • Bao W., Jin S., and Markowich P.A. On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. J. Comput. Phys. 175 (2002) 487-524
    • (2002) J. Comput. Phys. , vol.175 , pp. 487-524
    • Bao, W.1    Jin, S.2    Markowich, P.A.3
  • 10
    • 1842531889 scopus 로고    scopus 로고
    • Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semi-clasical regimes
    • Bao W., Jin S., and Markowich P.A. Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semi-clasical regimes. SIAM J. Sci. Comput. 25 (2003) 27-64
    • (2003) SIAM J. Sci. Comput. , vol.25 , pp. 27-64
    • Bao, W.1    Jin, S.2    Markowich, P.A.3
  • 11
    • 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. Mod. Meth. Appl. Sci. 15 (2005) 1863-1896
    • (2005) Math. Mod. Meth. Appl. Sci. , vol.15 , pp. 1863-1896
    • Bao, W.1    Zhang, Y.2
  • 12
    • 18144389899 scopus 로고    scopus 로고
    • A fourth-order time-splitting Laguerre-Hermite pseudo-spectral method for Bose-Einstein condensates
    • Bao W., and Shen J. A fourth-order time-splitting Laguerre-Hermite pseudo-spectral 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
  • 13
    • 47349106037 scopus 로고    scopus 로고
    • Ground state, symmetric and central vortex state in rotating Bose-Einstein condensate
    • Bao W., Wang H., and Markowich P.A. Ground state, symmetric and central vortex state in rotating Bose-Einstein condensate. Commun. Math. Sci. 3 (2005) 57-88
    • (2005) Commun. Math. Sci. , vol.3 , pp. 57-88
    • Bao, W.1    Wang, H.2    Markowich, P.A.3
  • 14
    • 0033473154 scopus 로고    scopus 로고
    • Bose-Einstein condensates with vortices in rotating traps
    • Castin Y., and Dum R. Bose-Einstein condensates with vortices in rotating traps. Eur. Phys. J. D 7 (1999) 399-412
    • (1999) Eur. Phys. J. D , vol.7 , pp. 399-412
    • Castin, Y.1    Dum, R.2
  • 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
    • Cerimele M.M., Chiofalo M.L., Pistella F., Succi S., and Tosi M.P. 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) 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-Pitaevskii equation: an application to Bose-Einstein condensation
    • Cerimele M.M., Pistella F., and Succi S. Particle-inspired scheme for the Gross-Pitaevskii equation: an application to Bose-Einstein condensation. Comput. Phys. Commun. 129 (2000) 82-90
    • (2000) Comput. Phys. Commun. , vol.129 , pp. 82-90
    • Cerimele, M.M.1    Pistella, F.2    Succi, S.3
  • 18
    • 0038647802 scopus 로고    scopus 로고
    • Macroscopic dynamics of a Bose-Einstein condensate containing a vortex lattice
    • Cozzini M., and Stringari S. Macroscopic dynamics of a Bose-Einstein condensate containing a vortex lattice. Phys. Rev. A 67 (2003) 041602
    • (2003) Phys. Rev. A , vol.67 , pp. 041602
    • Cozzini, M.1    Stringari, S.2
  • 19
    • 0033246313 scopus 로고    scopus 로고
    • Theory of Bose-Einstein condensation in trapped gases
    • Dalfovo F., and Giorgini S. Theory of Bose-Einstein condensation in trapped gases. Rev. Mod. Phys. 71 (1999) 463
    • (1999) Rev. Mod. Phys. , vol.71 , pp. 463
    • Dalfovo, F.1    Giorgini, S.2
  • 20
    • 0037009576 scopus 로고    scopus 로고
    • Nonequilibrium effects of anisotropic compression applied to vortex lattices in Bose-Einstein condensates
    • Engels P., Coddington I., Haljan P.C., and Cornell E.A. Nonequilibrium effects of anisotropic compression applied to vortex lattices in Bose-Einstein condensates. Phys. Rev. Lett. 89 (2002) 100403
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 100403
    • Engels, P.1    Coddington, I.2    Haljan, P.C.3    Cornell, E.A.4
  • 22
    • 18844480991 scopus 로고    scopus 로고
    • Nucleation of vortex arrays in rotating anisotropic Bose-Einstein condensates
    • Feder D.L., Clark C.W., and Schneider B.I. Nucleation of vortex arrays in rotating anisotropic Bose-Einstein condensates. Phys. Rev. A 61 (1999) 011601
    • (1999) Phys. Rev. A , vol.61 , pp. 011601
    • Feder, D.L.1    Clark, C.W.2    Schneider, B.I.3
  • 23
    • 0035952770 scopus 로고    scopus 로고
    • Vortices in a trapped dilute Bose- Einstein condensate
    • Fetter A.L., and Svidzinsky A.A. Vortices in a trapped dilute Bose- Einstein condensate. J. Phys. Condens. Matter 13 (2001) R135-194
    • (2001) J. Phys. Condens. Matter , vol.13
    • Fetter, A.L.1    Svidzinsky, A.A.2
  • 25
    • 84896389828 scopus 로고    scopus 로고
    • Nonlinear dynamics for vortex formation in a rotating Bose-Einstein condensate
    • Kasamatsu K., and Tsubota M. Nonlinear dynamics for vortex formation in a rotating Bose-Einstein condensate. Phys. Rev. A 67 (2003) 033610
    • (2003) Phys. Rev. A , vol.67 , pp. 033610
    • Kasamatsu, K.1    Tsubota, M.2
  • 28
    • 17444440568 scopus 로고    scopus 로고
    • Vortex lattice formation in Bose-Einstein condensates
    • Lobo C., Sinatra A., and Castin Y. Vortex lattice formation in Bose-Einstein condensates. Phys. Rev. Lett. 92 (2004) 020403
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 020403
    • Lobo, C.1    Sinatra, A.2    Castin, Y.3
  • 31
    • 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
  • 32
    • 0038045487 scopus 로고    scopus 로고
    • Bose-Einstein condensation dynamics in three dimensions by pseudospectral and finite-difference methods
    • Muruganandam P., and Adhikari S.K. Bose-Einstein condensation dynamics in three dimensions by pseudospectral and finite-difference methods. J. Phys. B 36 (2003) 2501-2513
    • (2003) J. Phys. B , vol.36 , pp. 2501-2513
    • Muruganandam, P.1    Adhikari, S.K.2
  • 34
    • 0037164979 scopus 로고    scopus 로고
    • Nucleation, growth, and stabilization of Bose-Einstein condensate vortex lattices
    • (Article 260402)
    • Penckwitt A.A., and Ballagh R.J. Nucleation, growth, and stabilization of Bose-Einstein condensate vortex lattices. Phys. Rev. Lett. 89 (2002) (Article 260402)
    • (2002) Phys. Rev. Lett. , vol.89
    • Penckwitt, A.A.1    Ballagh, R.J.2
  • 36
    • 5444265924 scopus 로고    scopus 로고
    • Giant vortex lattice deformation in rapidly rotating Bose-Einstein condensates
    • (Article 060401)
    • Simula T.P., Penckwitt A.A., and Ballagh R.J. Giant vortex lattice deformation in rapidly rotating Bose-Einstein condensates. Phys. Rev. Lett. 92 (2004) (Article 060401)
    • (2004) Phys. Rev. Lett. , vol.92
    • Simula, T.P.1    Penckwitt, A.A.2    Ballagh, R.J.3
  • 37
    • 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
  • 38
    • 0036473386 scopus 로고    scopus 로고
    • Vortex lattice formation in a rotating Bose-Einstein condensate
    • Tsubota M., Kasamatsu K., and Ueda M. Vortex lattice formation in a rotating Bose-Einstein condensate. Phys. Rev. A 65 (2002) 023603
    • (2002) Phys. Rev. A , vol.65 , pp. 023603
    • Tsubota, M.1    Kasamatsu, K.2    Ueda, M.3
  • 39
    • 26844436587 scopus 로고    scopus 로고
    • Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
    • Wang H. Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations. Appl. Math. Comput. 170 (2005) 17-35
    • (2005) Appl. Math. Comput. , vol.170 , pp. 17-35
    • Wang, H.1
  • 40
    • 0033533833 scopus 로고    scopus 로고
    • Preparing topological states of a Bose-Einstein condensate
    • Williams J.E., and Hooand M.J. Preparing topological states of a Bose-Einstein condensate. Nature 401 (1999) 568
    • (1999) Nature , vol.401 , pp. 568
    • Williams, J.E.1    Hooand, M.J.2
  • 41
    • 85190570078 scopus 로고    scopus 로고
    • Y. Zhang, W. Bao, Dynamics of the center of mass in rotating Bose-Einstein condensates, Appl. Numer. Math., to appear.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.