A basis-set based Fortran program to solve the Gross-Pitaevskii equation for dilute Bose gases in harmonic and anharmonic traps

Computer Physics Communications

Volumn 174, Issue 12, 2006, Pages 966-982

  Tiwari, Rakesh Prabhat ^a   Shukla, Alok ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

Anharmonic potential; Bose Einstein condensation; Gross Pitaevskii equation; Numerical solutions

Indexed keywords

ATOMIC PHYSICS; HARMONIC ANALYSIS; MAGNETIC PROPERTIES; OSCILLATORS (ELECTRONIC); PARAMETER ESTIMATION; THERMAL EFFECTS;

ANHARMONIC POTENTIAL; BOSE-EINSTEIN CONDENSATION; GROSS-PITAEVSKII EQUATION; SHANNON ENTROPY;

FORTRAN (PROGRAMMING LANGUAGE);

EID: 33646758851     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2005.10.014     Document Type: Article

References (31)

1. Anderson M.H., Ensher J.R., Matthews M.R., Wieman C.E., and Cornell E.A. Science 269 (1995) 198
2. Bradley C.C., Sackett C.A., Tollett J.J., and Hulet R.G. Phys. Rev. Lett. 75 (1995) 1687
3. Davis K.B., Mewes M.-O., Andrews M.R., van Druten N.J., Durfee D.S., Kurn D.M., and Ketterle W. Phys. Rev. Lett. 75 (1995) 3969
4. For a review, see, e.g. Dalfovo F., Giorgini S., Pitaevskii L.P., and Stringari S. Rev. Modern Phys. 71 (1999) 463
5. Gross E.P. Nuovo Cimento 20 (1961) 454
6. Pitaevskii L.P. Zh. Eksp. Teor. Fiz. 40 (1961) 646
7. Edwards M., and Burnett K. Phys. Rev. A 51 (1995) 1382
8. Edwards M., Dodd R.J., Clark C.W., Ruprecht P.A., and Burnett K. Phys. Rev. A 53 (1996) R1950
9. Dalfovo F., and Stringari S. Phys. Rev. A 53 (1996) 2477
10. Esry B.D. Phys. Rev. A 55 (1997) 1147
11. Schneider B.I., and Feder D.L. Phys. Rev. A 59 (1999) 2232
12. Adhikari S.K. Phys. Lett. A 265 (2000) 91
13. Adhikari S.K. Phys. Rev. E 62 (2000) 2937
14. Chiofalo M.L., Succi S., and Tosi M.P. Phys. Rev. E 62 (2000) 7438
15. Bao W., and Tang W. J. Comput. Phys. 187 (2003) 230
16. Dion C.M., and Cancès E. Phys. Rev. E 67 (2003) 046706
17. Ziegler K., and Shukla A. Phys. Rev. A 56 (1997) 1438
18. See, e.g. Szabo A., and Ostlund N.S. Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory (1996), Dover Publications, New York
19. Busbridge I.W. J. London Math. Soc. 23 (1948) 135
20. Shannon C.E. Bell System Tech. J. 27 (1948) 379 623
21. See, e.g. Gadre S.R. Phys. Rev. A 30 (1984) 620
22. Gadre S.R., and Bendale R.D. Phys. Rev. A 36 (1987) 1932
23. Ziesche P. Int. J. Quantum Chem. 56 (1995) 363
24. Moustakidis Ch.C., and Massen S.E. Phys. Rev. B 71 (2005) 045102
25. Smith B., Boyle J., Dongarra J., Garbow B., Ikebe Y., Klema V., and Moler C. Matrix Eigenvalues Routines, EISPACK Guide. Lecture Notes in Computer Science vol. 6 (1976), Springer-Verlag
26. x. These parameters were also used by Dalfovo et al. in their calculations [9]
27. See, e.g. Fetter A.L. Phys. Rev. A 64 (2001) 063608
28. Lundh E. Phys. Rev. A 65 (2002) 043604
29. Pullen R.A., and Edmonds A.R. J. Phys. A 14 (1981) L319
30. Pullen R.A., and Edmonds A.R. J. Phys. A 14 (1981) L477
31. Ho T.-L. Phys. Rev. Lett. 81 (1998) 742