Exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 71, Issue 3, 2005, Pages

  Eberlein, Claudia ^a   Giovanazzi, Stefane ^b   O'Dell, Duncan H J ^a  

^a UNIVERSITY OF SUSSEX   (United Kingdom)

^b UNIVERSITY OF ST ANDREWS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATES; DIPOLAR INTERACTIONS; DIPOLE-DIPOLE INTERACTIONS; THOMAS-FERMI EQUATIONS;

ASPECT RATIO; ELECTROSTRICTION; FERMI LEVEL; FUNCTIONS; HARMONIC ANALYSIS; THERMODYNAMIC STABILITY;

QUANTUM THEORY;

EID: 18544363557     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.033618     Document Type: Article

References (52)

1. W. Ketterle, D. S. Durfee, and D. M. Stamper-Kurn, in Bose-Einstein Condensation in Atomic Gases, Proceedings of the International School of Physics "Enrico Fermi," Course CXL, Varenna, 1998, edited by M. Inguscio, S. Stringari, and C. E. Wieman (IOS Press, Amsterdam, 1999), pp. 67-176.
2. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
3. L. P. Pitaevskii, Sov. Phys. JETP, 13, 451 (1961);
4. E. P. Gross, Nuovo Cimento 20, 454 (1961);
5. J. Math. Phys. 4, 195 (1963).
6. K. Góral, K. Rzażewski, and T. Pfau, Phys. Rev. A 61, 051601 (2000);
7. J.-P. Martikainen, M. Mackie, and K.-A. Suominen, Phys. Rev. A ibid. 64, 037601 (2001).
8. L. Santos, G. V. Shlyapnikov, P. Zoller, and M. Lewenstein, Phys. Rev. Lett. 85, 1791 (2000).
9. P. M. Lushnikov, Phys. Rev. A 66, 051601(R) (2002).
10. S. Giovanazzi, D. O'Dell, and G. Kurizki, Phys. Rev. Lett. 88, 130402 (2002).
11. K. Góral, L. Santos, and M. Lewenstein, Phys. Rev. Lett. 88, 170406 (2002).
12. S. Yi and L. You, Phys. Rev. A 63, 053607 (2001).
13. K. Góral and L. Santos, Phys. Rev. A 66, 023613 (2002).
14. D. H. J. O'Dell, S. Giovanazzi, and G. Kurizki, Phys. Rev. Lett. 90, 110402 (2003).
15. L. Santos, G. V. Shlyapnikov, and M. Lewenstein, Phys. Rev. Lett. 90, 250403 (2003).
16. S. Giovanazzi and D. O'Dell, Eur. Phys. J. D 31, 439 (2004).
17. D. H. J. O'Dell, S. Giovanazzi, and C. Eberlein, Phys. Rev. Lett. 92, 250401 (2004).
18. K. Gross, C. P. Search, H. Pu, W. Zhang, and P. Meystre, Phys. Rev. A 66, 033603 (2002).
19. M. Marinescu and L. You, Phys. Rev. Lett. 81, 4596 (1998).
20. S. Yi and L. You, Phys. Rev. A 61, 041604 (2000).
21. S. Giovanazzi, A. Görlitz, and T. Pfau, Phys. Rev. Lett. 89, 130401 (2002).
22. S. Yi and L. You, Phys. Rev. A 67, 045601 (2003).
23. P. O. Schmidt, S. Hensler, J. Werner, A. Griesmaier, A. Görlitz, T. Pfau, and A. Simoni, Phys. Rev. Lett. 91, 193201 (2003).
24. J. D. Weinstein, R. deCarvalho, C. I. Hancox, and J. M. Doyle, Phys. Rev. A 65, 021604 (2002).
25. S. Hensler and T. Pfau (private communication).
26. S. Giovanazzi, A. Görlitz, and T. Pfau, J. Opt. B: Quantum Semiclassical Opt. 5 S208 (2003).
27. J. D. Weinstein et al., Nature (London) 395, 148 (1998);
28. J. M. Doyle and B. Friedrich, Nature (London) ibid. 401, 749 (1999).
29. H. L. Bethlem, G. Berden, and G. Meijer, Phys. Rev. Lett. 83, 1558 (1999);
30. H. L. Bethlem et al., Phys. Rev. Lett. ibid. 84, 5744 (2000);
31. H. L. Bethlem et al., Nature (London) 406, 491 (2000);
32. H. L. Bethlem et al., Phys. Rev. A 65, 053416 (2002).
33. M. W. Mancini, G. D. Telles, A. R. L. Caires, V. S. Bagnato, and L. G. Marcassa, Phys. Rev. Lett. 92 133203 (2004).
34. M. Greiner, C. A. Regal, and D. S. Jin, Nature (London) 426, 537 (2003);
35. S. Jochim et al., Science 302, 2101 (2003);
36. M. W. Zwierlein et al., Phys. Rev. Lett. 91, 250401 (2003).
37. D. O'Dell, S. Giovanazzi, G. Kurizki, and V. M. Akulin, Phys. Rev. Lett. 84, 5687 (2000);
38. S. Giovanazzi, D. O'Dell, and G. Kurizki, Phys. Rev. A 63, 031603 (2001);
39. J. Phys. B 34, 4757 (2001);
40. S. Giovanazzi, G. Kurizki, I. E. Mazets, and S. Stringari, Europhys. Lett. 56, 1 (2001);
41. G. Kurizki, S. Giovanazzi, D. O'Dell, and A. I. Artemiev, in Dynamics and Thermodynamics of Systems with Long-Range Interactions, edited by T. Dauxois et al., Lecture Notes in Physics Vol. 602 (Springer, Berlin, 2002).
42. V. S. Melezhik and C. Y. Hu, Phys. Rev. Lett. 90, 083202 (2003).
43. A. Derevianko, Phys. Rev. A 67, 033607 (2003).
44. S. Yi and L. You, Phys. Rev. Lett. 92, 193201 (2004).
45. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Vol. II, Sec. 10.3.
46. Note that Eq. (10.3.63) in [32] is misprinted and should be divided by 2.
47. E. J. Routh, A Treatise in Analytical Statics (Cambridge University Press, Cambridge, England, 1892), Vol. II.
48. G. Green, Trans. Cambridge Philos. Soc. 5(3), paper XV (1835).
49. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), p. 209.
50. A. M. Portis, Electromagnetic Fields (Wiley, New York, 1978), p. 44.
51. J. Werner, A. Griesmaier, S. Hensler, J. Stuhler, T. Pfau, A. Simoni, and E. Tiesinga, e-print cond-mat/0412039.
52. T. Pfau (private communication).