Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 5, 2001, Pages

  Adhikari, Sadhan K ^a  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; BOUNDARY CONDITIONS; LATTICE VIBRATIONS; LOW TEMPERATURE EFFECTS; MATHEMATICAL MODELS; OSCILLATIONS; QUANTUM ELECTRONICS;

BOSE-EINSTEIN CONDENSATION (BEC); GROSS-PITAEVSKII EQUATION;

CONDENSATION;

EID: 0035333557     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.056704     Document Type: Article

References (31)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995);
2. K. B. Dadic, M. O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995);
3. Phys. Rev. Lett.D. G. Fried, T. C. Killian, L. Willmann, D. Landhuis, S. C. Moss, D. Kleppner, and T. J. Greytak, 81, 3811 (1998).
4. P. A. Ruprecht, M. J. Holland, K. Burnett, and M. Edwards, Phys. Rev. A 51, 4704 (1995);
5. Yu. Kagan, A. E. Muryshev, and G. V. Shlyapnikov, Phys. Rev. Lett. 81, 933 (1998).
6. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. A 54, R4633 (1996);
7. S. K. Adhikari and A. Gammal, Physica A 286, 299 (2000);
8. M. J. Holland, D. S. Jin, M. L. Chiofalo, and J. Cooper, Phys. Rev. Lett. 78, 3801 (1997).
9. A. Gammal, T. Frederico, and L. Tomio, Phys. Rev. E 60, 2421 (1999);
10. A. Gammal, T. Frederico, L. Tomio, and F. Kh. Abdullaev, Phys. Lett. A 267, 305 (2000);
11. Phys. Lett. AS. K. Adhikari, 265, 91 (2000).
12. S. K. Adhikari, Phys. Rev. E 62, 2937 (2000).
13. M. L. Chiofalo, S. Succi, and M. P. Tosi, Phys. Lett. A 260, 86 (1999);
14. M. M. Cerimele, M. L. Chiofalo, F. Pistella, S. Succi, and M. P. Tosi, Phys. Rev. E 62, 1382 (2000).
15. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
16. R. J. Dodd, M. Edwards, C. J. Williams, C. W. Clark, M. J. Holland, P. A. Ruprecht, and K. Burnett, Phys. Rev. A 54, 661 (1996);
17. S. K. Adhikari, Physica A 284, 97 (2000);
18. C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. Lett. 78, 985 (1997);
19. H. T. C. Stoof, Phys. Rev. A 49, 3824 (1994).
20. E. P. Gross, Nuovo Cimento 20, 454 (1961);
21. L. P. Pitaevskii, Zh. Éksp. Teor. Fiz. 40, 646 (1961) [Sov. Phys. JETP 13, 451 (1961)].
22. M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 83, 2498 (1999).
23. M. R. Matthews, D. S. Hall, D. S. Jin, J. R. Ensher, C. E. Wieman, E. A. Cornell, F. Dalfovo, C. Minniti, and S. Stringari, Phys. Rev. Lett. 81, 243 (1998).
24. C. J. Myatt, E. A. Burt, R. W. Ghrist, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. 78, 586 (1997).
25. A. Sinatra, P. O. Fedichev, Y. Castin, J. Dalibard, and G. V. Shlyapnikov, Phys. Rev. Lett. 82, 251 (1999);
26. Phys. Rev. Lett.S. Giovanazzi, A. Smerzi, and S. Fantoni, 84, 4521 (2000).
27. B. D. Esry, C. H. Greene, J. P. Burke, Jr., and J. L. Bohn, Phys. Rev. Lett. 78, 3594 (1997);
28. Phys. Rev. Lett.T.-L. Ho and V. B. Shenoy, 77, 3276 (1996).
29. S. E. Koonin, Computational Physics (Benjamin/Cummings, Menlo Park, NJ, 1986), pp. 161–167.
30. Y. Castin and R. Dum, Phys. Rev. Lett. 77, 5315 (1996).
31. S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. 85, 1795 (2000).