Skip to main content
Log in

Waves in a Bose–Einstein Condensate of Atoms with a Dipole Moment

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

Based on the modified Gross–Pitaevskii equation for atoms with intrinsic dipole moments, which accounts for the relaxation of a condensate, the dipole–dipole interaction and the interaction of atoms with the electromagnetic field, the propagation of the sound and electromagnetic waves in a Bose–Einstein condensate is studied. Owing to hybridization of the electromagnetic and sound waves near the resonance frequency of an atom, there arise the two branches of excitations in which the electromagnetic oscillations transform into the sound oscillations and vice versa. It is shown that under hybridization the crucial role is played by the dipole–dipole interaction, which leads to a substantial increase in the repulsion between the branches of the spectrum. The influence of the dissipative effects connected with the relaxation of the macroscopic wave function of the condensate and the imaginary part of the polarizability of an atom on the form of the dispersion curves is investigated.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. L. Pitaevskii, S. Stringari, Bose–Einstein Condensation (Oxford University Press, Oxford, 2003)

    MATH  Google Scholar 

  2. C.H. Pethick, H. Smith, Bose–Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2001)

    Book  Google Scholar 

  3. L.V. Hau, S.E. Harris, Z. Dutton, C.H. Behroozi, Nature 397, 594 (1999)

    Article  ADS  Google Scholar 

  4. C. Liu, Z. Dutton, C.H. Behroozi, L.V. Hau, Nature 409, 490 (2001)

    Article  ADS  Google Scholar 

  5. A.S. Rybalko, Low Temp. Phys. 30, 994 (2004)

    Article  ADS  Google Scholar 

  6. A.S. Rybalko, S.P. Rubets, Low Temp. Phys. 31, 623 (2005)

    Article  ADS  Google Scholar 

  7. A.S. Rybalko, S.P. Rubets, E.Ya. Rudavskii, V.A. Tikhii, S.I. Tarapov, R.V. Golovashchenko, V.N. Derkach, Low Temp. Phys. 34, 497 (2008)

    Article  ADS  Google Scholar 

  8. A. Rybalko, S. Rubets, E. Rudavskii, V. Tikhiy, S. Tarapov, R. Golovashchenko, V. Derkach, Phys. Rev. B 76, 140503 (2007)

    Article  ADS  Google Scholar 

  9. A.S. Rybalko, S.P. Rubets, E.Ya. Rudavskii, V.A. Tikhii, R. Golovashchenko, V.N. Derkach, S.I. Tarapov, Low Temp. Phys. 34, 254 (2008)

    Article  ADS  Google Scholar 

  10. A.S. Rybalko, S.P. Rubets, E.Ya. Rudavskii, V.A. Tikhii, YuM Poluektov, R.V. Golovashchenko, V.N. Derkach, S.I. Tarapov, O.V. Usatenko, Low Temp. Phys. 35, 837 (2009)

    Article  ADS  Google Scholar 

  11. A. Rybalko, S. Rubets, E. Rudavskii, V. Tikhiy, Yu. Poluektov, R. Golovashchenko, V. Derkach, S. Tarapov, O. Usatenko, J. Low Temp Phys. 158, 244 (2010)

    Article  ADS  Google Scholar 

  12. Yu.M. Poluektov, Low Temp. Phys. 37, 986 (2011)

  13. Yu.M. Poluektov, A.S. Rybalko, Low Temp. Phys. 39, 770 (2013)

  14. O. Morice, Y. Castin, J. Dalibard, Phys. Rev. A. 51, 3896 (1995)

    Article  ADS  Google Scholar 

  15. J. Ruostekoski, J. Javanainen, Phys. Rev. A. 56, 2056 (1997)

    Article  ADS  Google Scholar 

  16. Y.V. Slyusarenko, A.G. Sotnikov, J. Low Temp. Phys. 150, 618 (2008)

    Article  ADS  Google Scholar 

  17. H. Goldstein, Classical Mechanics (Nauka, Moscow, 1975)

    MATH  Google Scholar 

  18. Yu.M. Poluektov, Low Temp. Phys. 29, 1 (2003)

  19. M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.M. Kurn, D.S. Durfee, C.G. Townsend, W. Ketterle, Phys. Rev. Lett. 77, 988 (1996)

    Article  ADS  Google Scholar 

  20. S. Choi, S.A. Morgan, K. Burnett, Phys. Rev. A 57, 4057 (1998)

    Article  ADS  Google Scholar 

  21. M. Tsubota, K. Kasamatsu, M. Ueda, Phys. Rev. A 65, 023603 (2002)

    Article  ADS  Google Scholar 

  22. L.D. Landau, E.M. Lifshitz, Statistical Physics, Part 1: Vol. 5 (Butterworth-Heinemann, Oxford, 1980)

    Google Scholar 

  23. Yu.M. Poluektov, Low Temp. Phys. 40, 389 (2014)

  24. S.J. Putterman, Superfluid Hydrodynamics (American Elsevier Publishing Company, New York, 1974)

    Google Scholar 

  25. M. Tsubota, M. Kobayashi, H. Takeuchi, Quantum hydrodynamics. Phys. Rep. 522, 191–238 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  26. H. Frohlich, Theory of Dielectrics (Oxford University Press, Oxford, 1987)

    Google Scholar 

  27. V.M. Agranovich, V.L. Ginzburg, Crystal Optics with Spatial Dispersion, and Excitons (Springer, Berlin, 1984)

    Book  Google Scholar 

  28. L.D. Landau, E.M. Lifshitz, Electrodynamics of Continuous Media: Vol. 8 (Butterworth-Heinemann, Oxford, 1984)

    Google Scholar 

  29. M.R. Andrews, D.M. Kurn, H.-J. Miesner, D.S. Durfee, C.G. Townsend, S. Inouye, W. Ketterle, Phys. Rev. Lett. 79, 553 (1997)

    Article  ADS  Google Scholar 

  30. R. Meppelink, S.B. Koller, P. van der Straten, Phys. Rev. A. 80, 043605 (2009)

    Article  ADS  Google Scholar 

  31. P.N. Brusov, V.N. Popov, Superfluidity and Collective Properties of Quantum Liquids (Nauka, Moscow, 1988)

    Google Scholar 

  32. A.S. Peletminskii, S.V. Peletminskii, Yu.M. Poluektov, Low Temp. Phys. 40, 500 (2014)

  33. Yu.M. Poluektov, Low Temp. Phys. 44, 1040 (2018)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu. M. Poluektov.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Poluektov, Y.M., Soroka, A.A. Waves in a Bose–Einstein Condensate of Atoms with a Dipole Moment. J Low Temp Phys 198, 167–189 (2020). https://doi.org/10.1007/s10909-019-02272-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-019-02272-w

Keywords

Navigation