Violation of self-similarity in the expansion of a one-dimensional Bose gas

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 4 B, 2003, Pages

  Pedri, P ^a,b   Santos, L ^a   Ohberg P ^c   Stringari, S ^b  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^b UNIVERSITY OF TRENTO   (Italy)

^c UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMS; COMPUTER SIMULATION; CONDENSATION; MOLECULAR DYNAMICS; THERMAL EFFECTS;

BOSE GAS; HARMONIC CONFINEMENT; SELF SIMILARITY;

HIGH ENERGY PHYSICS;

EID: 11444269350     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (44)

1. M.H. Anderson et al., Science 269, 198 (1995)
2. K.B. Davis et al., Phys. Rev. Lett. 75, 3969 (1995)
3. C.C. Bradley et al., ibid. 78, 985 (1997).
4. A. Görlitz et al., Phys. Rev. Lett. 87, 130402 (2001).
5. A.I. Safonov et al., Phys. Rev. Lett. 81, 4545 (1998).
6. W. Hänsel et al., Nature (London) 413, 498 (2001).
7. S. Burger et al., Europhys. Lett. 57, 1 (2002).
8. F. Schreck et al., Phys. Rev. Lett. 87, 080403 (2001).
9. M. Greiner et al., Phys. Rev. Lett. 87, 160405 (2001).
10. D.S. Petrov, G.V. Shlyapnikov, and J.T.M. Walraven, Phys. Rev. Lett. 85, 3745 (2000).
11. Yu. Kagan et al., Phys. Rev. A 61, 043608 (2000).
12. D.S. Petrov, M. Holzmann, and G.V. Shlyapnikov, Phys. Rev. Lett. 84, 2551 (2000).
13. D.S. Petrov, G.V. Shlyapnikov, and J.T.M. Walraven, Phys. Rev. Lett. 87, 050404 (2001).
14. S. Dettmer et al., Phys. Rev. Lett. 87, 160406 (2001)
15. I. Shvarchuck et al., ibid. 89, 270404 (2002)
16. F. Gerbier et al., Phys. Rev. A 67, 051602 (2003).
17. M. Girardeau, J. Math. Phys. 1, 516 (1960).
18. M. Olshanii, Phys. Rev. Lett. 81, 938 (1998).
19. S. Cornish et al., Phys. Rev. Lett. 85, 1795 (2000)
20. J. Stenger et al., ibid. 82, 2422 (1999).
21. M. Greiner et al., Nature (London) 415, 39 (2002).
22. V. Dunjko, V. Lorent, and M. Olshanii, Phys. Rev. Lett. 86, 5413 (2001).
23. C. Menotti and S. Stringari, Phys. Rev. A 66, 043610 (2002).
24. D.M. Gangardt and G.V. Shlyapnikov, Phys. Rev. Lett. 90, 010401 (2003).
25. P. Öhberg and L. Santos, Phys. Rev. Lett. 89, 240402 (2002).
26. E.H. Lieb and W. Liniger, Phys. Rev. 130, 1605 (1963).
27. C.N. Yang and C.P. Yang, J. Math. Phys. 10, 1115 (1969).
28. M.D. Girardeau and E.M. Wright, Phys. Rev. Lett. 87, 210401 (2001)
29. M.D. Girardeau and E.M. Wright, Phys. Rev. Lett. 84, 5691 (2000)
30. M.D. Girardeau and E.M. Wright, Phys. Rev. Lett. 87, 050403 (2001)
31. M.D. Girardeau, E.M. Wright, and J.M. Triscari, Phys. Rev. A 63, 033601 (2001).
32. K.V. Kheruntsyan et al., Phys. Rev. Lett. 91, 040403 (2003).
33. V.E. Korepin, N.M. Bogoliubov, and A.G. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge University Press, Cambridge, 1993).
34. E.P. Gross, Nuovo Cimento 20, 454 (1961)
35. L.P. Pitaevskii, Sov. Phys. JETP 13, 451 (1961)
36. E.P. Gross, J. Math. Phys. 4, 195 (1963).
37. E.B. Kolomeisky et al., Phys. Rev. Lett. 85, 1146 (2000)
38. E. Kolomiesky and J.P. Straley, Phys. Rev. B 46, 11 749 (1992).
39. Y. Castin and R. Dum, Phys. Rev. Lett. 77, 5315 (1996).
40. Yu. Kagan, E.L. Surkov, and G.V. Shlyapnikov, Phys. Rev. A 54, R1753 (1996)
41. Yu. Kagan, E.L. Surkov, and G.V. Shlyapnikov, Phys. Rev. A 55, R18 (1997).
42. F. Dalfovo et al., Phys. Lett. A 227, 259 (1997).
43. Lagrangian (14) does not depend on ḃ and ṡ, and consequently one obtains the dynamics only for α and β imposing ∂L/∂b = ∂L/∂s = 0, and later on from these two conditions one can obtain the dynamics of b and s. The gauge transformation (15) turns out to simplify significantly the calculations.
44. G.E. Astrakharchik and S. Giorgini, Phys. Rev. Lett. (to be published), e-print cond-mat/0212512.