Skip to main content

Density Oscillations in Trapped Bose Condensates at Finite Temperature

  • Conference paper
  • First Online:
Directions in Quantum Optics

Part of the book series: Lecture Notes in Physics ((LNP,volume 561))

  • 761 Accesses

Abstract

Density fluctuations in Bose gases are investigated in the collisionless limit at finite temperature. First the density fluctuations of a homogenous Bose gas above the phase transition are analysed in linear response theory. Their complex velocity of sound is determined, finding a pure relaxation-mode for weak interactions. Then we consider the coupled dynamics of a condensate interacting with the density of non-condensed atoms, and determine numerically and in perturbation theory the temperature dependent damping rate of the Bogoliubov sound. Using a local-density-approximation we generalize this approach to inhomogeneous systems.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A.S. Parkins, D.F. Walls: Physics Reports 303, 1 (1998)

    Article  ADS  Google Scholar 

  2. F. Dalfovo, S. Giorgini, L. Pitaevskii, S. Stringari: Rev. Mod. Phys. 71, 463 (1999)

    Article  ADS  Google Scholar 

  3. W. Ketterle, D.S. Durfee, D.M. Kurn: Lecture given at the Varenna summer school, 1998

    Google Scholar 

  4. J. Reidl, A. Csordás, R. Graham, P. Szépfalusy, Phys. Rev. A61, 043606 (2000)

    Article  ADS  Google Scholar 

  5. M. Fliesser, J. Reidl, P. Szépfalusy, R. Graham: cond-mat/0006475 (2000)

    Google Scholar 

  6. S. Giorgini: Phys. Rev. A 57, 2949 (1998)

    Article  ADS  Google Scholar 

  7. S. Giorgini: Phys. Rev. A 61, 063615 (2000)

    Article  Google Scholar 

  8. N. Bogoliubov: J. Phys. USSR 1, 23 (1947)

    Google Scholar 

  9. A.L. Fetter, J.D. Walecka: Quantum Theory of Many-Particle Systems (Mc-Graw Hill, New York 1971)

    Google Scholar 

  10. A.L. Fetter: Ann. Phys. (N.Y.) 70, 67 (1972)

    Article  ADS  Google Scholar 

  11. N. Hugenholtz, D. Pines: Phys. Rev. 116, 489 (1959)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. A. Griffin: Phys. Rev. B. 53, 9341 (1996)

    Article  ADS  Google Scholar 

  13. V. N. Popov: Functional Integrals and Collective Modes (Cambridge University Press, New York 1987), Chap. 6

    Google Scholar 

  14. A.L. Fetter: Phys. Rev. A 53, 4245 (1996)

    Article  ADS  Google Scholar 

  15. S. Stringari: Phys. Rev. Lett. 77, 2360 (1996)

    Article  ADS  Google Scholar 

  16. W.-C. Wu, A. Griffin: Phys. Rev. A. 54, 4204 (1996)

    Article  ADS  Google Scholar 

  17. H.T.C. Stoof: In: Dynamics: Models and Kinetic Methods for Non-Equilibrium Many-Body Systems, ed. John Karkheck (Kluwer, Dordrecht, in press) e-print: cond-mat/9812424

    Google Scholar 

  18. L.P. Kadano., G. Baym: Quantum Statistical Mechanics (W. A. Benjamin, California 1962)

    Google Scholar 

  19. A. Minguzzi, M.J. Tosi: J. Phys.: Condens. Matter 9, 10211 (1998)

    Article  ADS  Google Scholar 

  20. P. Szépfalusy, I. Kondor: Ann. Phys. (N.Y.) 82, 1 (1974)

    Article  ADS  Google Scholar 

  21. M. Fliesser, A. Csordás, P. Szépfalusy, R. Graham: Phys. Rev. A 56, R2533 (1997)

    Article  ADS  Google Scholar 

  22. R.J. Dodd, M. Edwards, C.W. Clark, K. Burnett: Phys. Rev. A 57, R32 (1998)

    Article  ADS  Google Scholar 

  23. D.A.W. Hutchinson, E. Zaremba, A. Griffin: Phys. Rev. Lett. 78, 1842 (1997)

    Article  ADS  Google Scholar 

  24. J. Reidl, A. Csordás, R. Graham, P. Szépfalusy: Phys. Rev. A 59, 3816 (1999)

    Article  ADS  Google Scholar 

  25. G. Bene, P. Szépfalusy: Phys. Rev. A 58, R3391 (1998)

    Article  ADS  Google Scholar 

  26. P. Szépfalusy: Acta Phys. Hung. Tom XVII, Fasc.1-2, 229 (1964)

    Article  Google Scholar 

  27. S. Giorgini, L.P. Pitaevskii, S. Stringari: J. Low Temp. Phys. 109, 309 (1997)

    ADS  Google Scholar 

  28. D.S. Jin, M.R. Matthews, J.R. Ensher, C.E. Wieman, E.A. Cornell: Phys. Rev. Lett. 78, 764 (1997)

    Article  ADS  Google Scholar 

  29. M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.M. Kurn, D.S. Durfee, W. Ketterle: Phys. Rev. Lett. 77, 416 (1996)

    Article  ADS  Google Scholar 

  30. M.V. Liu: Phys. Rev. Lett. 79, 4056 (1997)

    Article  ADS  Google Scholar 

  31. P.O. Fedichev, G.V. Shlyapnikov, J.T.M. Walraven: Phys. Rev. Lett. 80, 2269 (1998)

    Article  ADS  Google Scholar 

  32. L.P. Pitaevskii, S. Stringari: Phys. Rev. Lett. 74, 3352 (1998)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Fliesser, M., Graham, R. (2001). Density Oscillations in Trapped Bose Condensates at Finite Temperature. In: Carmichael, H.J., Glauber, R.J., Scully, M.O. (eds) Directions in Quantum Optics. Lecture Notes in Physics, vol 561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-40894-0_1

Download citation

  • DOI: https://doi.org/10.1007/3-540-40894-0_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41187-1

  • Online ISBN: 978-3-540-40894-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics