Skip to main content
Log in

Maxwell-Schrödinger equations for a dilute gas Bose-Einstein condensate coupled to an electromagnetic field

  • Atoms, Molecules, Optics
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

We give a general formulation of the semiclassical approach to solving the problem of interaction between a Bose-Einstein condensate of dilute gas and electromagnetic radiation without using the commonly applied mean-field approximation. We suggest variants of the systems of Maxwell-Schrödinger equations whose solution describes such effects as superradiant light scattering, light beam amplification, atomic wave (atomic laser) amplification, induced transparency, and reduction in the group velocity of light.

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.

Similar content being viewed by others

References

  1. L. P. Pitaevskiĭ, Usp. Fiz. Nauk 176, 345 (2006) [Phys. Usp. 49, 333 (2006)].

    Article  Google Scholar 

  2. V. I. Yukalov and E. P. Yukalova, Phys. Rev. A 73, 022335 (2006).

    Google Scholar 

  3. N. N. Rozanov, V. A. Smirnov, and S. V. Fedorov, JETP 102, 703 (2006).

    Article  ADS  Google Scholar 

  4. S. Inouye, A. P. Chikkatur, D. M. Stamper-Kurn, et al., Science 285, 571 (1999).

    Article  Google Scholar 

  5. D. Schneble, Y. Torii, M. Boyd, et al., Science 300, 475 (2003).

    Article  ADS  Google Scholar 

  6. S. Inouye, R. F. Low, S. Gupta, et al., Phys. Rev. Lett. 85, 4225 (2000).

    Article  ADS  Google Scholar 

  7. S. Inouye, T. Pfau, S. Gupta, et al., Nature 402, 641 (1999).

    Article  ADS  Google Scholar 

  8. L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behoroozi, Nature 397, 594 (1999).

    Article  ADS  Google Scholar 

  9. G. Lenz, P. Meystre, and E. M. Wright, Phys. Rev. A 50, 1681 (1994).

    Article  ADS  Google Scholar 

  10. Y. Castin and K. Molmer, Phys. Rev. A 51, R3426 (1995).

    Article  ADS  Google Scholar 

  11. J. Javanainen, Phys. Rev. Lett. 75, 1927 (1995).

    Article  ADS  Google Scholar 

  12. M. G. Moore and P. Meystre, Phys. Rev. Lett. 83, 5202 (1999).

    Article  ADS  Google Scholar 

  13. O. E. Mustecaplioglu and L. You, Phys. Rev. A 62, 063615 (2000).

    Google Scholar 

  14. N. Piovella, M. Gatelli, and R. Bonifacio, Opt. Commun. 194, 167 (2001).

    Article  ADS  Google Scholar 

  15. H. Pu, W. Zhang, and P. Meystre, Phys. Rev. Lett. 91, 150407 (2003).

    Google Scholar 

  16. C. Benedek and M. G. Benedict, J. Opt. B: Quantum Semiclassic. Opt. 6, S3 (2004).

    Article  ADS  Google Scholar 

  17. G. R. M. Robb, N. Piovella, and R. Bonifacio, J. Opt. B: Quantum Semiclassic. Opt. 7, 93 (2005).

    Article  ADS  Google Scholar 

  18. R. Bonifacio, N. Piovella, G. R. M. Robb, and M. M. Cola, Opt. Commun. 252, 381 (2005).

    Article  ADS  Google Scholar 

  19. H. Uys and P. Meystre, cond-mat/0602343.

  20. N. Piovella, N. Volpe, M. M. Cola, and R. Bonifacio, Laser Phys. 17, 174 (2007).

    Article  Google Scholar 

  21. E. D. Trifonov, Zh. Éksp. Teor. Fiz. 120, 1117 (2001) [JETP 93, 969 (2001)]; Laser Phys. 12, 211 (2002).

    Google Scholar 

  22. E. D. Trifonov, Opt. Spektrosk. 98, 545 (2005) [Opt. Spectrosc. 98, 497 (2005)].

    Article  Google Scholar 

  23. O. Zobay and G. M. Nikolopulos, Phys. Rev. A 72, 041604(R) (2005); Phys. Rev. A 73, 013620 (2006); Laser Phys. 17, 180 (2007).

  24. Yu. A. Avetisyan and E. D. Trifonov, Laser Phys. Lett. 1, 373 (2004); Laser Phys. Lett. 2, 512 (2005); Laser Phys. Lett. 4, 247 (2007).

    Article  Google Scholar 

  25. Yu. A. Avetisyan and E. D. Trifonov, JETP 103, 667 (2006).

    Article  ADS  Google Scholar 

  26. M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1969; Nauka, Moscow, 1970).

    Google Scholar 

  27. E. D. Trifonov and N. I. Shamrov, Zh. Éksp. Teor. Fiz. 126, 54 (2004) [JETP 99, 43 (2004)]; Opt. Spektrosk. 96, 294 (2004) [Opt. Spectrosc. 96, 258 (2004)].

    Google Scholar 

  28. E. D. Trifonov, Teor. Mat. Fiz. 139, 449 (2004).

    Google Scholar 

  29. Yu. A. Avetisyan and E. D. Trifonov, Opt. Spektrosk. 100, 317 (2006) [Opt. Spectrosc. 100, 270 (2006)].

    Article  Google Scholar 

  30. N. I. Shamrov, Laser Phys. 16, 1374 (2006).

    Article  Google Scholar 

  31. N. I. Shamrov, Opt. Spektrosk. 100, 99 (2006) [Opt. Spectrosc. 100, 91 (2006)]; Opt. Spektrosk. 101, 802 (2006) [Opt. Spectrosc. 101, 743 (2006)].

    Article  ADS  Google Scholar 

  32. R. H. Dicke, Phys. Rev. 93, 99 (1954).

    Article  MATH  ADS  Google Scholar 

  33. M. G. Benedict, A. M. Ermolaev, V. A. Malyshev, I. V. Sokolov, and E. D. Trifonov, Superradiance: Multiatomic Coherent Emission (IOP, Bristol and Philadelphia, 1996).

    Google Scholar 

  34. N. A. Vasil’ev and E. D. Trifonov, Opt. Spektrosk. 96, 625 (2004) [Opt. Spectrosc. 96, 556 (2004)].

    Google Scholar 

  35. N. A. Vasil’ev and A. S. Troshin, Zh. Éksp. Teor. Fiz. 125, 1276 (2004) [JETP 98, 1116 (2004)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. D. Trifonov.

Additional information

Original Russian Text © Yu.A. Avetisyan, E.D. Trifonov, 2008, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2008, Vol. 133, No. 3, pp. 495–504.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Avetisyan, Y.A., Trifonov, E.D. Maxwell-Schrödinger equations for a dilute gas Bose-Einstein condensate coupled to an electromagnetic field. J. Exp. Theor. Phys. 106, 426–434 (2008). https://doi.org/10.1134/S1063776108030023

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776108030023

PACS numbers

Navigation