Advertisement

Journal of Low Temperature Physics

, Volume 163, Issue 3–4, pp 92–121 | Cite as

Kinetic Theory of a Spin-1 Bose Condensed Gas at Finite Temperatures

  • Yuki EndoEmail author
  • Tetsuro Nikuni
Article

Abstract

We derive a kinetic theory of a spin-1 Bose condensed gas at finite temperatures. The theory consists of coupled equations for the condensate and noncondensate. The condensate dynamics is described by a generalized Gross–Pitaevskii (GP) equation including the spin degree of freedom. The condensate and noncondensate atoms interact with each other through the mean field and collisions. From the coupled equations, we determine the condition for static equilibrium of the spin-1 system. We also use the static thermal cloud approximation to derive a generalized GP equation including a dissipative term due to the coupling to a thermal cloud.

Keywords

Spinor condensate Bose–Einstein condensate Finite-temperature 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995) CrossRefADSGoogle Scholar
  2. 2.
    K.B. Davis, M.O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Kitterle, Phys. Rev. Lett. 75, 3969 (1995) CrossRefADSGoogle Scholar
  3. 3.
    C.J. Myatt, E.A. Burt, R.W. Ghrist, E.A. Cornell, C.E. Wieman, Phys. Rev. Lett. 78, 586 (1997) CrossRefADSGoogle Scholar
  4. 4.
    D.S. Hall, M.R. Matthews, J.R. Ensher, C.E. Wieman, E.A. Cornell, Phys. Rev. Lett. 81, 1539 (1998) CrossRefADSGoogle Scholar
  5. 5.
    H.J. Lewandowski, D.M. Harber, D.L. Whitaker, E.A. Cornell, Phys. Rev. Lett. 88, 070403 (2002) CrossRefADSGoogle Scholar
  6. 6.
    H.J. Lewandowski, J.M. McGuirk, D.M. Harber, E.A. Cornell, Phys. Rev. Lett. 91, 240404 (2003) CrossRefADSGoogle Scholar
  7. 7.
    J.M. McGuirk, H.J. Lewandowski, D.M. Harber, T. Nikuni, J.E. Williams, E.A. Cornell, Phys. Rev. Lett. 89, 090402 (2002) CrossRefADSGoogle Scholar
  8. 8.
    J.M. McGuirk, D.M. Harber, H.J. Lewandowski, E.A. Cornell, Phys. Rev. Lett. 91, 150402 (2003) CrossRefADSGoogle Scholar
  9. 9.
    T. Nikuni, J.E. Williams, C.W. Clark, Phys. Rev. A 66, 043411 (2002) CrossRefADSGoogle Scholar
  10. 10.
    T. Nikuni, J.E. Williams, J. Low Temp. Phys. 133, 323 (2003) CrossRefGoogle Scholar
  11. 11.
    J.E. Williams, T. Nikuni, W.C. Charles, Phys. Rev. Lett. 88, 230405 (2002) CrossRefADSGoogle Scholar
  12. 12.
    W.J. Mullin, R.J. Ragan, Phys. Rev. A 74, 043607 (2006) CrossRefADSGoogle Scholar
  13. 13.
    M.Ö. Oktel, L.S. Levitov, Phys. Rev. A 65, 063604 (2002) CrossRefADSGoogle Scholar
  14. 14.
    L.P. Pitaevskii, S. Stringari, in Bose–Einstein Condensation. The International Series of Monographs on Physics (Oxford University Press, New York, 2003), p. 214, Chap. 12 Google Scholar
  15. 15.
    J. Stenger, S. Inouye, D.M. Stamper-Kurn, H.J. Miesner, A.P. Chikkatur, W. Ketterle, Nature 396, 345 (1998) CrossRefADSGoogle Scholar
  16. 16.
    D.M. Stamper-Kurn, M.R. Andrews, A.P. Chikkatur, S. Inouye, H.J. Miesner, J. Stenger, W. Ketterle, Phys. Rev. Lett. 80, 2027 (1998) CrossRefADSGoogle Scholar
  17. 17.
    C.K. Law, H. Pu, N.P. Bigelow, Phys. Rev. Lett. 81, 5257 (1998) CrossRefADSGoogle Scholar
  18. 18.
    H.J. Miesner, D.M. Stamper-Kurn, J. Stenger, S. Inouye, A.P. Chikkatur, W. Ketterle, Phys. Rev. Lett. 82, 2228 (1999) CrossRefADSGoogle Scholar
  19. 19.
    W. Zhang, S. Yi, L. You, New J. Phys. 5, 77 (2003) CrossRefADSGoogle Scholar
  20. 20.
    P. Szépfalusy, G. Szirmai, Phys. Rev. A 65, 043602 (2002) CrossRefADSGoogle Scholar
  21. 21.
    G. Szirmai, P. Szépfalusy, K. Kis-Szabó, Phys. Rev. A 68, 023612 (2003) CrossRefADSGoogle Scholar
  22. 22.
    M.S. Chang, C.D. Hamley, M.D. Barrett, J.A. Sauer, K.M. Fortier, W. Zhang, L. You, M.S. Chapman, Phys. Rev. Lett. 92, 140403 (2004) CrossRefADSGoogle Scholar
  23. 23.
    H. Schmaljohann, M. Erhard, J. Kronjäger, K. Sengstock, K. Bongs, Appl. Phys. B 79, 1001 (2004) CrossRefADSGoogle Scholar
  24. 24.
    M. Erhard, H. Schmaljohann, J. Kronjäger, K. Bongs, K. Sengstock, Phys. Rev. A 70, 031602R (2004) CrossRefADSGoogle Scholar
  25. 25.
    J.M. Higbie, L.E. Sadler, S. Inouye, A.P. Chikkatur, S.R. Leslie, K.L. Moore, V. Savalli, D.M. Stamper-Kurn, Phys. Rev. Lett. 95, 050401 (2005) CrossRefADSGoogle Scholar
  26. 26.
    L.E. Sadler, J.M. Higbie, S.R. Leslie, M. Vengalattore, D.M. Stamper-Kurn, Nature 443, 312 (2006) CrossRefADSGoogle Scholar
  27. 27.
    Y. Endo, T. Nikuni, J. Low. Temp. Phys. 152, 21 (2008) CrossRefADSGoogle Scholar
  28. 28.
    H.T.C. Stoof, J. Low. Temp. Phys. 114, 11 (1999) CrossRefGoogle Scholar
  29. 29.
    R. Walser, J. Williams, J. Cooper, M. Holland, Phys. Rev. A 59, 3878 (1999) CrossRefADSGoogle Scholar
  30. 30.
    E. Zaremba, T. Nikuni, A. Griffin, J. Low. Temp. Phys. 116, 277 (1999) CrossRefGoogle Scholar
  31. 31.
    C.W. Gardiner, P. Zoller, Phys. Rev. A 61, 033601 (2001) CrossRefADSGoogle Scholar
  32. 32.
    J.N. Fuchs, D.M. Gangardt, F. Laloë, Phys. Rev. Lett. 88, 230404 (2002) CrossRefADSGoogle Scholar
  33. 33.
    M.Ö. Oktel, L.S. Levitov, Phys. Rev. Lett. 88, 230403 (2002) CrossRefADSGoogle Scholar
  34. 34.
    A. Griffin, T. Nikuni, E. Zaremba, in Bose-Condensed Gases at Finite Temperatures (Cambridge University Press, Cambridge, 2009), p. 146, Chap. 8 CrossRefGoogle Scholar
  35. 35.
    J.E. Williams, A. Griffin, Phys. Rev. A 63, 023612 (2000) CrossRefADSGoogle Scholar
  36. 36.
    T. Mizushima, K. Machida, T. Kita, Phys. Rev. Lett. 89, 030401 (2002) CrossRefADSGoogle Scholar
  37. 37.
    A.E. Leanhardt, Y. Shin, D. Kielpinski, D.E. Pritchard, W. Ketterle, Phys. Rev. Lett. 90, 140403 (2003) CrossRefADSGoogle Scholar
  38. 38.
    J.P. Martikainen, A. Collin, K.A. Suominen, Phys. Rev. A 66, 053604 (2002) CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Physics, Faculty of ScienceTokyo University of ScienceTokyoJapan

Personalised recommendations