-
1
-
-
4243961414
-
Vortices in a rotating Bose-Einstein condensate: Critical angular velocities and energy diagrams in the Thomas-Fermi regime
-
A. Aftalion and Q. Du, 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
-
2
-
-
11944274056
-
-
M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman and E. A. Cornell, Science 269 (1995) 198.
-
(1995)
Science
, vol.269
, pp. 198
-
-
Anderson, M.H.1
Ensher, J.R.2
Matthews, M.R.3
Wieman, C.E.4
Cornell, E.A.5
-
3
-
-
4344565694
-
Ground states and dynamics of multi-component Bose-Einstein condensates
-
W. Bao, Ground states and dynamics of multi-component Bose-Einstein condensates, Multiscale Model. Simul. 2 (2004) 210-236.
-
(2004)
Multiscale Model. Simul.
, vol.2
, pp. 210-236
-
-
Bao, W.1
-
4
-
-
6344289363
-
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) 1674-1697.
-
(2004)
SIAM J. Sci. Comput.
, vol.25
, pp. 1674-1697
-
-
Bao, W.1
Du, Q.2
-
5
-
-
0442300961
-
An explicit unconditionally stable numerical methods for solving damped nonlinear Schrodinger equations with a focusing nonlinearity
-
W. Bao and D. Jaksch, An explicit unconditionally stable numerical methods 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
-
6
-
-
0037408314
-
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) 318-342.
-
(2003)
J. Comput. Phys.
, vol.187
, pp. 318-342
-
-
Bao, W.1
Jaksch, D.2
Markowich, P.A.3
-
7
-
-
0442279560
-
Three dimensional simulation of jet formation in collapsing condensates
-
W. Bao, D. Jaksch and P. A. Markowich, Three dimensional simulation of jet formation in collapsing condensates, J. Phys. B: At. Mol. Opt. Phys. 37 (2004) 329-343.
-
(2004)
J. Phys. B: At. Mol. Opt. Phys.
, vol.37
, pp. 329-343
-
-
Bao, W.1
Jaksch, D.2
Markowich, P.A.3
-
8
-
-
0037138007
-
On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
-
W. Bao, S. Jin and P. A. Markowich, 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
-
9
-
-
1842531889
-
Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semi-clasical regimes
-
W. Bao, S. Jin and P. A. Markowich, 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
-
10
-
-
28644443065
-
Quantum kinetic theory: Modelling and numerics for Bose-Einstein condensation
-
eds. P. Degond et al. (Birkhäuser)
-
W. Bao, L. Pareschi and P. A. Markowich, Quantum kinetic theory: Modelling and numerics for Bose-Einstein condensation, in Modeling and Computational Methods for Kinetic Equations, eds. P. Degond et al. (Birkhäuser, 2003), pp. 287-320.
-
(2003)
Modeling and Computational Methods for Kinetic Equations
, pp. 287-320
-
-
Bao, W.1
Pareschi, L.2
Markowich, P.A.3
-
11
-
-
18144389899
-
A fourth-order time-splitting Laguerre-Hermite pseudo-spectral method for Bose-Einstein condensates
-
W. Bao and J. Shen, 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
-
12
-
-
0037406449
-
Ground state solution of trapped interacting Bose-Einstein condensate by directly minimizing the energy functional
-
W. Bao and W. Tang, Ground state solution of trapped interacting Bose-Einstein condensate by directly minimizing the energy functional, J. Comput. Phys. 187 (2003) 230-254.
-
(2003)
J. Comput. Phys.
, vol.187
, pp. 230-254
-
-
Bao, W.1
Tang, W.2
-
13
-
-
0344490976
-
Ground-state properties of magnetically trapped Bose-condensed Rubidium gas
-
G. Baym and C. J. Pethick, Ground-state properties of magnetically trapped Bose-condensed Rubidium gas, Phys. Rev. Lett. 76 (1996) 6-9.
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 6-9
-
-
Baym, G.1
Pethick, C.J.2
-
14
-
-
4243580938
-
Bose-Einstein condensation of lithium: Observation of limited condensate number
-
C. C. Bradley, C. A. Sackett and R. G. Hulet, 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
-
15
-
-
0000198919
-
Coherent dynamics of vortex formation in trapped Bose-Einstein condensates
-
B. M. Caradoc-Davis, R. J. Ballagh, K. Burnett, Coherent dynamics of vortex formation in trapped Bose-Einstein condensates, Phys. Rev. Lett. 83 (1999) 895.
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 895
-
-
Caradoc-Davis, B.M.1
Ballagh, R.J.2
Burnett, K.3
-
16
-
-
0042407578
-
Stationary solutions of the one-dimensional nonlinear Schrodinger equation I. Case of repulsive nonlinearity
-
L. D. Carr, Charles W. Clark and W. P. Reinhardt, Stationary solutions of the one-dimensional nonlinear Schrodinger equation I. Case of repulsive nonlinearity, Phys. Rev. A 62 (2000) 063610.
-
(2000)
Phys. Rev. A
, vol.62
, pp. 063610
-
-
Carr, L.D.1
Clark, C.W.2
Reinhardt, W.P.3
-
17
-
-
8744291229
-
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) 367-390.
-
(2005)
J. Comput. Phys.
, vol.202
, pp. 367-390
-
-
Chang, S.-M.1
Lin, W.-W.2
Shieh, S.-F.3
-
18
-
-
0034229732
-
Numerical solution of the Gross-Pitaevskii equation using an explicit finite-difference scheme: An application to trapped Bose-Einstein condensates
-
M. M. Cerimele, M. L. Chiofalo, F. Pistella, S. Succi and M. P. Tosi, 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
-
19
-
-
0034318663
-
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) 7438-7444.
-
(2000)
Phys. Rev. E
, vol.62
, pp. 7438-7444
-
-
Chiofalo, M.L.1
Succi, S.2
Tosi, M.P.3
-
20
-
-
0033246313
-
Theory of Bose-Einstein condensation in trapped gases
-
F. Dalfovo, S. Giorgini, L. P. Pitaevskii and S. Stringari, Theory of Bose-Einstein condensation in trapped gases, Rev. Mod. Phys. 71 (1999) 463-512.
-
(1999)
Rev. Mod. Phys.
, vol.71
, pp. 463-512
-
-
Dalfovo, F.1
Giorgini, S.2
Pitaevskii, L.P.3
Stringari, S.4
-
21
-
-
4244115335
-
-
K. B. Davis, M. O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn and W. Ketterle, Phys. Rev. Lett. 75 (1995) 3969.
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 3969
-
-
Davis, K.B.1
Mewes, M.O.2
Andrews, M.R.3
Van Druten, N.J.4
Durfee, D.S.5
Kurn, D.M.6
Ketterle, W.7
-
22
-
-
4243124386
-
-
M. Edwards, P. A. Ruprecht, K. Burnett, R. J. Dodd and C. W. Clark, Phys. Rev. Lett. 77 (1996) 1671;
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 1671
-
-
Edwards, M.1
Ruprecht, P.A.2
Burnett, K.3
Dodd, R.J.4
Clark, C.W.5
-
24
-
-
0001642649
-
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.
-
(1995)
Phys. Rev. A
, vol.51
, pp. 1382
-
-
Edwards, M.1
Burnett, K.2
-
25
-
-
0035131036
-
Anomalous modes drive vortex dynamics in confined Bose-Einstein condensates
-
D. L. Feder, A. A. Svidzinsky, A. L. Fetter and C. W. Clark, Anomalous modes drive vortex dynamics in confined Bose-Einstein condensates, Phys. Rev. Lett. 86 (2001) 564-567.
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 564-567
-
-
Feder, D.L.1
Svidzinsky, A.A.2
Fetter, A.L.3
Clark, C.W.4
-
26
-
-
0001444952
-
A fast spectral algorithm for nonlinear wave equations with linear dispersion
-
B. Fornberg and T. A. Driscoll, A fast spectral algorithm for nonlinear wave equations with linear dispersion, J. Comput. Phys. 155 (1999) 456.
-
(1999)
J. Comput. Phys.
, vol.155
, pp. 456
-
-
Fornberg, B.1
Driscoll, T.A.2
-
27
-
-
0035509440
-
Construction of exact solutions by spatial translations in inhomogeneous nonlinear Schrödinger equaitons
-
J. J. Garcia-Ripoll, V. M. Perez-Garcia and V. Vekslerchik, Construction of exact solutions by spatial translations in inhomogeneous nonlinear Schrödinger equaitons, Phys. Rev. E 64 (2001) 056602.
-
(2001)
Phys. Rev. E
, vol.64
, pp. 056602
-
-
Garcia-Ripoll, J.J.1
Perez-Garcia, V.M.2
Vekslerchik, V.3
-
28
-
-
51249193203
-
Structure of a quantized vortex in boson systems
-
E. P. Gross, Structure of a quantized vortex in boson systems, Nuovo Cimento 20 (1961) 454-477.
-
(1961)
Nuovo Cimento
, vol.20
, pp. 454-477
-
-
Gross, E.P.1
-
29
-
-
0000781489
-
Dynamics of component separation in a binary mixture of Bose-Einstein condensates
-
D. S. Hall, M. R. Mattthews, 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
Mattthews, M.R.2
Ensher, J.R.3
Wieman, C.E.4
Cornell, E.A.5
-
30
-
-
0001049909
-
Vortex formation in dilute inhomogeneous Bose-Einstein condensates
-
B. Jackson, J. F. McCann and C. S. Adams, Vortex formation in dilute inhomogeneous Bose-Einstein condensates, Phys. Rev. Lett. 80 (1998) 3903-3906.
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 3903-3906
-
-
Jackson, B.1
McCann, J.F.2
Adams, C.S.3
-
31
-
-
0346481057
-
Dissipation and vortex creation in Bose-Einstein condensated gases
-
B. Jackson, J. F. McCann and C. S. Adams, Dissipation and vortex creation in Bose-Einstein condensated gases, Phys. Rev. A 61 (2000) 051603.
-
(2000)
Phys. Rev. A
, vol.61
, pp. 051603
-
-
Jackson, B.1
McCann, J.F.2
Adams, C.S.3
-
32
-
-
7244221608
-
Cold bosonic atoms in optical lattices
-
D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner and P. Zoller, Cold bosonic atoms in optical lattices, Phys. Rev. Lett. 81 (1998) 3108-3111.
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 3108-3111
-
-
Jaksch, D.1
Bruder, C.2
Cirac, J.I.3
Gardiner, C.W.4
Zoller, P.5
-
36
-
-
0347107495
-
Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
-
E. H. Lieb, R. Seiringer and J. Yugvason, Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional, Phys. Rev. A 61 (2000) 3602.
-
(2000)
Phys. Rev. A
, vol.61
, pp. 3602
-
-
Lieb, E.H.1
Seiringer, R.2
Yugvason, J.3
-
37
-
-
28644442459
-
Vortices in two-dimensional Bose-Einstein condensates
-
(Hangzhou, 2001) AMS/IP Stud. Adv. Math., (Amer. Math. Soc.)
-
F. Lin and T. C. Lin, Vortices in two-dimensional Bose-Einstein condensates, in Geometry and Nonlinear Partial Differential Equations (Hangzhou, 2001) AMS/IP Stud. Adv. Math., Vol. 29 (Amer. Math. Soc., 2002), pp. 87-114.
-
(2002)
Geometry and Nonlinear Partial Differential Equations
, vol.29
, pp. 87-114
-
-
Lin, F.1
Lin, T.C.2
-
38
-
-
17444440568
-
Vortex lattice formation in Bose-Einstein condensates
-
C. Lobo, A. Sinatra and Y. Castin, 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
-
39
-
-
0041430875
-
Vortex nucleation in Bose-Einstein condensates in time-dependent traps
-
E. Lundh, J. P. Martikainen and K. A. Suominen, Vortex nucleation in Bose-Einstein condensates in time-dependent traps, Phys. Rev. A 67 (2003) 063604.
-
(2003)
Phys. Rev. A
, vol.67
, pp. 063604
-
-
Lundh, E.1
Martikainen, J.P.2
Suominen, K.A.3
-
42
-
-
0000189868
-
Vortex lines in a imperfect Bose gase
-
L. P. Pitaevskii, Vortex lines in a imperfect Bose gase, Zh. Eksp. Tear. Fiz. 40 (1961) 646-649
-
(1961)
Zh. Eksp. Tear. Fiz.
, vol.40
, pp. 646-649
-
-
Pitaevskii, L.P.1
-
43
-
-
0000196586
-
-
[Sov. Phys. JETP 13 (1961) 451-454].
-
(1961)
Sov. Phys. JETP
, vol.13
, pp. 451-454
-
-
-
48
-
-
0000515840
-
Time-dependent solution of nonlinear Schrödinger equation for Bose-condensated trapped neutral atoms
-
P. A. Ruprecht, M. J. Holland, K. Burnett and M. Edwards, Time-dependent solution of nonlinear Schrödinger equation for Bose-condensated 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
-
49
-
-
0001518684
-
On construction and comparison of difference schemes
-
G. Strang, On construction and comparison of difference schemes, SIAM J. Numer. Anal. 5 (1968) 506.
-
(1968)
SIAM J. Numer. Anal.
, vol.5
, pp. 506
-
-
Strang, G.1
-
50
-
-
0001005075
-
Construction of higher order symplectic integrators
-
H. Yoshida, Construction of higher order symplectic integrators, Phys. Lett. A 150 (1990) 262-268.
-
(1990)
Phys. Lett. A
, vol.150
, pp. 262-268
-
-
Yoshida, H.1
|