Dynamical Transition from a Quasi-One-Dimensional Bose-Einstein Condensate to a Tonks-Girardeau Gas

Physical Review Letters

Volumn 89, Issue 24, 2002, Pages

  Ohberg P ^a   Santos, L ^b  

^a UNIVERSITY OF ST ANDREWS   (United Kingdom)

^b LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSATION; DENSITY OF GASES; NONLINEAR EQUATIONS; RESONANCE;

ATOMIC GASES;

HIGH ENERGY PHYSICS;

EID: 0037619865     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.89.240402     Document Type: Article

References (38)

1. M.H. Anderson et al Science 269, 198 (1995);
2. K.B. Davis et al, Phys. Rev. Lett.10.1103/PhysRevLett.75.3969 75, 3969 (1995);
3. C.C. Bradley et al, Phys. Rev. Lett.10.1103/PhysRevLett.78.985 78, 985 (1997).
4. A. Görlitz et al, Phys. Rev. Lett.10.1103/PhysRevLett.87.130402 87, 130402 (2001).
5. F. Schreck et al, Phys. Rev. Lett.10.1103/PhysRevLett.87.080403 87, 080403 (2001).
6. M. Greiner et al, Phys. Rev. Lett.10.1103/PhysRevLett.87.160405 87, 160405 (2001).
7. A.I. Safonov et al, Phys. Rev. Lett.10.1103/PhysRevLett.81.4545 81, 4545 (1998).
8. W. Hänsel et al, Nature (London)10.1038/35097032 413, 498 (2001).
9. S. Burger et al, Europhys. Lett. 57, 1 (2002).
10. D.S. Petrov, G.V. Shlyapnikov, and J.T.M. Walraven, Phys. Rev. Lett.10.1103/PhysRevLett.85.3745 85, 3745 (2000).
11. Yu. Kagan et al, Phys. Rev. A10.1103/PhysRevA.61.043608 61, 043608 (2000).
12. D.S. Petrov, M. Holzmann, and G.V. Shlyapnikov, Phys. Rev. Lett.10.1103/PhysRevLett.84.2551 84, 2551 (2000).
13. D.S. Petrov, G.V. Shlyapnikov, and J.T.M. Walraven, Phys. Rev. Lett.10.1103/PhysRevLett.87.050404 87, 050404 (2001).
14. S. Dettmer et al, Phys. Rev. Lett.10.1103/PhysRevLett.87.160406 87, 160406 (2001).
15. M. Olshanii, Phys. Rev. Lett.10.1103/PhysRevLett.81.938 81, 938 (1998).
16. M.D. Girardeau and E.M. Wright, Phys. Rev. Lett.10.1103/PhysRevLett.84.5239 84, 5239 (2000).
17. M.D. Girardeau and E.M. Wright, Phys. Rev. Lett.10.1103/PhysRevLett.84.5691 84, 5691 (2000);
18. M.D. GirardeauE.M. WrightPhys. Rev. Lett.10.1103/PhysRevLett.87.050403 87, 050403 (2001);
19. M.D. Girardeau, E.M. Wright, and J.M. Triscari, Phys. Rev. A10.1103/PhysRevA.63.033601 63, 033601 (2001).
20. V. Dunjko, V. Lorent, and M. Olshanii, Phys. Rev. Lett.10.1103/PhysRevLett.86.5413 86, 5413 (2001).
21. M. Greiner et al, Nature (London)10.1038/415039a 415, 39 (2002).
22. S. Cornish et al, Phys. Rev. Lett.10.1103/PhysRevLett.85.1795 85, 1795 (2000);
23. J. Stenger et al, Phys. Rev. Lett.10.1103/PhysRevLett.82.2422 82, 2422 (1999).
24. M. Girardeau, J. Math. Phys. (N.Y.) 1, 516 (1960).
25. E.H. Lieb and W. Liniger, Phys. Rev.10.1103/PhysRev.130.1605 130, 1605 (1963).
26. E.B. Kolomeisky et al, Phys. Rev. Lett.10.1103/PhysRevLett.85.1146 85, 1146 (2000);
27. E. Kolomiesky and J.P. Straley, Phys. Rev. B10.1103/PhysRevB.46.11749 46, 11?749 (1992).
28. M.D. Girardeau and E.M. Wright, Phys. Rev. Lett.10.1103/PhysRevLett.87.210401 87, 210401 (2001).
29. D.M. Gangardt and G.V. Shlyapnikov, cond-mat/0207338.
30. V.E. Korepin, N.M. Bogoliubov, and A.G. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge University Press, Cambridge, 1993).
31. E.P. Gross, Nuovo Cimento 20, 454 (1961);
32. L.P. Pitaevskii, Sov. Phys. JETP 13, 451 (1961);
33. E.P. Gross, J. Math. Phys. (N.Y.) 4, 195 (1963).
34. Y. Castin and R. Dum, Phys. Rev. Lett.10.1103/PhysRevLett.77.5315 77, 5315 (1996).
35. Yu. Kagan, E.L. Surkov, G.V. Shlyapnikov, Phys. Rev. A 54, R1753 (1996);
36. Yu. KaganE.L. SurkovG.V. ShlyapnikovPhys. Rev. A55, R18 (1997).
37. P. Pedri, C. Menotti, and S. Stringari (private communication).
38. C. Menotti and S. Stringari, cond-mat/0201158.