메뉴 건너뛰기




Volumn 228, Issue 2, 2009, Pages 349-360

A minimisation approach for computing the ground state of Gross-Pitaevskii systems

Author keywords

Ground state; Minimisation; Nonlinear Schr dinger equations; Spectral methods

Indexed keywords

BOSE-EINSTEIN CONDENSATION; NONLINEAR EQUATIONS; NUMERICAL METHODS;

EID: 56549128326     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.09.018     Document Type: Article
Times cited : (44)

References (26)
  • 1
    • 11944274056 scopus 로고
    • Observation of Bose-Einstein condensation in a dilute atomic vapor
    • Anderson M.H., Ensher J.R., Matthews M.R., Wieman C.E., and Cornell E.A. Observation of Bose-Einstein condensation in a dilute atomic vapor. Science 269 5221 (1995) 198-201
    • (1995) Science , vol.269 , Issue.5221 , pp. 198-201
    • Anderson, M.H.1    Ensher, J.R.2    Matthews, 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
    • Bao W. Ground states and dynamics of multicomponent Bose-Einstein condensates. Multiscale Model. Simul. 2 2 (2004) 210-236
    • (2004) Multiscale Model. Simul. , vol.2 , Issue.2 , pp. 210-236
    • Bao, W.1
  • 3
    • 6344289363 scopus 로고    scopus 로고
    • Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow
    • Bao W., and Du Q. Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. SIAM J. Sci. Comput. 25 5 (2004) 1674-1697
    • (2004) SIAM J. Sci. Comput. , vol.25 , Issue.5 , pp. 1674-1697
    • Bao, W.1    Du, Q.2
  • 4
    • 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 6 (2005) 2010-2028
    • (2005) SIAM J. Sci. Comput. , vol.26 , Issue.6 , pp. 2010-2028
    • Bao, W.1    Shen, J.2
  • 5
    • 0037406449 scopus 로고    scopus 로고
    • Ground-state solution of Bose-Einstein condensate by directly minimizing the energy functional
    • Bao W., and Tang W. Ground-state solution of Bose-Einstein condensate by directly minimizing the energy functional. J. Comp. Phys. 187 (2003) 230-254
    • (2003) J. Comp. Phys. , vol.187 , pp. 230-254
    • Bao, W.1    Tang, W.2
  • 6
    • 45149107648 scopus 로고    scopus 로고
    • Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems
    • Caliari M., and Squassina M. Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems. Dyn. Partial Differ. Equ. 5 2 (2008) 117-137
    • (2008) Dyn. Partial Differ. Equ. , vol.5 , Issue.2 , pp. 117-137
    • Caliari, M.1    Squassina, M.2
  • 7
    • 45149084507 scopus 로고    scopus 로고
    • Spatial patterns for the three species Gross-Pitaevskii system in the plane
    • Caliari M., and Squassina M. Spatial patterns for the three species Gross-Pitaevskii system in the plane. Electron. J. Diff. Eqns. 79 (2008) 1-15
    • (2008) Electron. J. Diff. Eqns. , vol.79 , pp. 1-15
    • Caliari, M.1    Squassina, M.2
  • 10
    • 0038202144 scopus 로고    scopus 로고
    • Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap
    • Dion C.M., and Cancès E. Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap. Phys. Rev. E 67 (2003) 046706
    • (2003) Phys. Rev. E , vol.67 , pp. 046706
    • Dion, C.M.1    Cancès, E.2
  • 11
    • 35348894355 scopus 로고    scopus 로고
    • Ground state of the time-independent Gross-Pitaevskii equation
    • Dion C.M., and Cancès E. Ground state of the time-independent Gross-Pitaevskii equation. Comput. Phys. Commun. 177 10 (2007) 787-798
    • (2007) Comput. Phys. Commun. , vol.177 , Issue.10 , pp. 787-798
    • Dion, C.M.1    Cancès, E.2
  • 12
    • 4043163116 scopus 로고    scopus 로고
    • Properties of a Bose-Eistein condensate in an anisotropic harmonic potential
    • Edwards M., Dodd R.J., Clark C.W., Ruprecht P.A., and Burnett K. Properties of a Bose-Eistein condensate in an anisotropic harmonic potential. Phys. Rev. A 53 4 (1996) 1950-1953
    • (1996) Phys. Rev. A , vol.53 , Issue.4 , pp. 1950-1953
    • Edwards, M.1    Dodd, R.J.2    Clark, C.W.3    Ruprecht, P.A.4    Burnett, K.5
  • 14
    • 14844341327 scopus 로고    scopus 로고
    • Orthogonal polynomials (in Matlab)
    • Gautschi W. Orthogonal polynomials (in Matlab). J. Comput. Appl. Math. 178 1-2 (2005) 215-234
    • (2005) J. Comput. Appl. Math. , vol.178 , Issue.1-2 , pp. 215-234
    • Gautschi, W.1
  • 15
    • 0002211068 scopus 로고    scopus 로고
    • Collective excitations of trapped binary mixtures of Bose-Einstein condensed gases
    • Graham R., and Walls D. Collective excitations of trapped binary mixtures of Bose-Einstein condensed gases. Phys. Rev. A 57 1 (1998) 484-487
    • (1998) Phys. Rev. A , vol.57 , Issue.1 , pp. 484-487
    • Graham, R.1    Walls, D.2
  • 16
    • 21344444162 scopus 로고    scopus 로고
    • Low-temperature physics: a quantum revolution
    • Grimm R. Low-temperature physics: a quantum revolution. Nature 435 (2005) 1035-1036
    • (2005) Nature , vol.435 , pp. 1035-1036
    • Grimm, R.1
  • 17
    • 51249193203 scopus 로고
    • Structure of a quantized vortex in boson systems
    • Gross E.P. Structure of a quantized vortex in boson systems. Nuovo Cimento 20 (1961) 454
    • (1961) Nuovo Cimento , vol.20 , pp. 454
    • Gross, E.P.1
  • 18
    • 34250293137 scopus 로고
    • A globally convergent method for nonlinear programming
    • Han S.P. A globally convergent method for nonlinear programming. J. Optim. Theory Appl. 22 (1977) 297-309
    • (1977) J. Optim. Theory Appl. , vol.22 , pp. 297-309
    • Han, S.P.1
  • 19
    • 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
  • 20
    • 0000196586 scopus 로고
    • Vortex lines in an imperfect Bose gas
    • Pitaevskii L.P. Vortex lines in an imperfect Bose gas. Sov. Phys. JETP 13 (1961) 451
    • (1961) Sov. Phys. JETP , vol.13 , pp. 451
    • Pitaevskii, L.P.1
  • 21
    • 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
  • 23
    • 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 3 (1999) 2232-2242
    • (1999) Phys. Rev. A , vol.59 , Issue.3 , pp. 2232-2242
    • Schneider, B.I.1    Feder, D.L.2
  • 24
    • 4244096290 scopus 로고    scopus 로고
    • Phase separation of Bose-Einstein condensates
    • Timmermans E. Phase separation of Bose-Einstein condensates. Phys. Rev. Lett. 81 (1998) 5718-5721
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 5718-5721
    • Timmermans, E.1
  • 25
    • 33646758851 scopus 로고    scopus 로고
    • A basis-set based Fortran program to solve the Gross-Pitaevskii equation for dilute Bose gases in harmonic and anharmonic traps
    • Tiwari R.P., and Shukla A. A basis-set based Fortran program to solve the Gross-Pitaevskii equation for dilute Bose gases in harmonic and anharmonic traps. Comput. Phys. Commun. 174 12 (2006) 966-982
    • (2006) Comput. Phys. Commun. , vol.174 , Issue.12 , pp. 966-982
    • Tiwari, R.P.1    Shukla, A.2
  • 26
    • 34247397110 scopus 로고    scopus 로고
    • A time-splitting spectral method for coupled Gross-Pitaevskii equations with applications to rotating Bose-Einstein condensates
    • Wang H. A time-splitting spectral method for coupled Gross-Pitaevskii equations with applications to rotating Bose-Einstein condensates. J. Comput. Appl. Math. 205 (2007) 88-104
    • (2007) J. Comput. Appl. Math. , vol.205 , pp. 88-104
    • Wang, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.