Binary mixtures of Bose-Einstein condensates: Phase dynamics and spatial dynamics

European Physical Journal D

Volumn 16, Issue 1-3, 2000, Pages 319-332

  Sinatra, A ^a   Castin, Y ^a  

^a LABORATOIRE KASTLER BROSSEL   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATION; RELATIVITY; STATISTICAL MECHANICS;

ANALYTICAL RESULTS; BOSE-EINSTEIN CONDENSATES; COUPLING CONSTANTS; DECOHERENCE EFFECTS; DEMIXING INSTABILITY; EINSTEIN CONDENSATE; ELASTIC INTERACTIONS; SCALING SOLUTIONS;

BINARY MIXTURES;

EID: 0035219497     PISSN: 14346060     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100530050042     Document Type: Article

References (35)

1. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle, Phys. Rev. Lett 75, 3969 (1995); C.C. Bradley, C.A. Sackett, R. Hulett, Phys. Rev. Lett 78, 985 (1997). Since the first experimental achievements of BEC with alkali atoms at JILA, MIT, and Rice, condensation has been observed by other groups. See for example the WEB server http://amo.phy.gasou.edu/bec.html/.
2. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle, Phys. Rev. Lett 75, 3969 (1995); C.C. Bradley, C.A. Sackett, R. Hulett, Phys. Rev. Lett 78, 985 (1997). Since the first experimental achievements of BEC with alkali atoms at JILA, MIT, and Rice, condensation has been observed by other groups. See for example the WEB server http://amo.phy.gasou.edu/bec.html/.
3. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle, Phys. Rev. Lett 75, 3969 (1995); C.C. Bradley, C.A. Sackett, R. Hulett, Phys. Rev. Lett 78, 985 (1997). Since the first experimental achievements of BEC with alkali atoms at JILA, MIT, and Rice, condensation has been observed by other groups. See for example the WEB server http://amo.phy.gasou.edu/bec.html/.
4. J. Javanainen, Sung Mi Yoo, Phys. Rev. Lett. 76, 161 (1996).
5. M.R. Andrews, C.G. Townsend, H.-J. Miesner, D.S. Durfee, D.M. Kurn, W. Ketterle, Science 275, 637 (1997).
6. J.I. Cirac, C.W. Gardiner, M. Naraschewski, P. Zoller, Phys. Rev. A 54, R 3714 (1996).
7. Y. Castin, J. Dalibard, Phys. Rev. A 55, 4330 (1997).
8. E.M. Wright, D.E. Walls, J.C. Garrison, Phys. Rev. Lett. 77, 2158 (1996).
9. P. Villain, M. Lewenstein, R. Dum, Y. Castin, L. You, A. Imamoglu, T.A.B. Kennedy, J. Mod. Opt. 44, 1775 (1997).
10. A. Sinatra, Y. Castin, Eur. Phys. D 4, 247 (1998).
11. D. Hall, M.R. Matthews, C. Wiemann, E.A. Cornell, Phys. Rev. Lett. 81, 1543 (1998).
12. D. Hall, M.R. Matthews, J.R. Ensher, C. Wiemann, E.A. Cornell, Phys. Rev. Lett. 81, 1539 (1998).
13. C.K. Law, H. Pu, N.P. Bigelow, J.H. Eberly, Phys. Rev. A 58, 531 (1998).
14. P. Villain, M. Lewenstein, Phys. Rev. A 59, 2250 (1999).
15. A.J. Leggett, F. Sols, Found. Phys. 21, 353 (1991).
16. S. Stringari, Phys. Rev. Lett. 77, 2360 (1996).
17. A. Sinatra, P. Fedichev, Y. Castin, J. Dalibard, G. Shlyapnikov, Phys. Rev. Lett. 82, 251 (1998).
18. Y. Kagan, E.L. Surkov, G. Shlyapnikov, Phys. Rev. A. 54, R1753 (1996); Phys. Rev. A. 55, R18 (1997).
19. Y. Kagan, E.L. Surkov, G. Shlyapnikov, Phys. Rev. A. 54, R1753 (1996); Phys. Rev. A. 55, R18 (1997).
20. Y. Castin, R. Dum, Phys. Rev. Lett. 77, 5315 (1996).
21. M. Lewenstein, Li You, Phys. Rev. Lett. 77, 3489 (1996); Y. Castin, R. Dum, Phys. Rev. A 57, 3008 (1998); see also [7].
22. M. Lewenstein, Li You, Phys. Rev. Lett. 77, 3489 (1996); Y. Castin, R. Dum, Phys. Rev. A 57, 3008 (1998); see also [7].
23. tλ(t) ≥ 1.
24. Y. Castin, R. Dum, Phys. Rev. Lett. 79, 3553 (1997).
25. a.
26. s.
27. W.B. Colson, A. Fetter, J. Low Temp. Phys. 33, 231 (1978); E. Goldstein, P. Meystre, Phys. Rev. A 55, 2935 (1997).
28. W.B. Colson, A. Fetter, J. Low Temp. Phys. 33, 231 (1978); E. Goldstein, P. Meystre, Phys. Rev. A 55, 2935 (1997).
29. ε = 0.
30. ε.
31. E. Cornell (private communication).
32. We have checked numerically this statement for the JILA case by looking at the time dependence of the relative distance between the two condensates; at long times this distance oscillates at a frequency close to an eigenfrequency of the steady state condensates.
33. 2 is close to that of |F = 1, m = -1> and |F = 2, m = 2> inelastic collisions, according to the estimation given by J.P. Burke Jr, J.L. Bohn, B.D. Esry, C.H. Greene, Phys. Rev. A 55, R2511 (1997).
34. 2 is close to that of |F = 1, m = -1> and |F = 2, m = 2> inelastic collisions, according to the estimation given by J.P. Burke Jr, J.L. Bohn, B.D. Esry, C.H. Greene, Phys. Rev. A 55, R2511 (1997).
35. E.A. Burt, R.W. Ghrist, C.J. Myatt, M.J. Holland, E.A. Cornell, C.E. Wieman, Phys. Rev. Lett. 79, 337 (1997).