Skip to main content
Log in

Josephson dynamics for coupled polariton modes under the atom–field interaction in the cavity

  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

We consider a new approach to the problem of Bose–Einstein condensation (BEC) of polaritons for atom–field interaction under the strong coupling regime in the cavity. We investigate the dynamics of two macroscopically populated polariton modes corresponding to the upper and lower branch energy states coupled via Kerr-like nonlinearity of atomic medium. We found out the dispersion relations for new type of collective excitations in the system under consideration. Various temporal regimes like linear (nonlinear) Josephson transition and/or Rabi oscillations, macroscopic quantum self-trapping (MQST) dynamics for population imbalance of polariton modes are predicted. We also examine the switching properties for time-averaged population imbalance depending on initial conditions, effective nonlinear parameter of atomic medium and kinetic energy of low-branch polaritons.

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. J. Keeling, F.M. Marchetti, M.H. Szymanska, P.B. Littlewood, Semicond. Sci. Technol. 22, R1 (2007)

    Article  ADS  Google Scholar 

  2. T. Brandes, Phys. Rep. 408, 315 (2005)

    Article  ADS  Google Scholar 

  3. L. Solymar, Superconductive Tunneling and Applications (Chapman and Hall, London, 1972)

    Google Scholar 

  4. I. Zapata, F. Sols, A.J. Leggett, Phys. Rev. A 57, R28 (1998)

    Article  ADS  Google Scholar 

  5. S. Raghavan, A. Smerzi, S. Fantoni, S.R. Shenoy, Phys. Rev. A 59, 620 (1999)

    Article  ADS  Google Scholar 

  6. Y.-B. Zhang, H.J.W. Muller-Kirsten, Eur. Phys. J. D 17, 351 (2001)

    Article  ADS  Google Scholar 

  7. F. Meier, W. Zwerger, Phys. Rev. A 64, 033610 (2001)

    Article  ADS  Google Scholar 

  8. R. Gati, M. Albeiz, J. Folling, B. Hemmerling, M.K. Oberthaler, Appl. Phys. B 82, 207 (2006)

    Article  ADS  Google Scholar 

  9. A.Y. Leksin, A.P. Alodjants, S.M. Arakelian, Opt. Spectrosc. 94, 768 (2003)

    Article  Google Scholar 

  10. E.A. Ostrovskaya, Y. Kivshar, M. Lisak, B. Hall, F. Cattani, D. Anderson, Phys. Rev. A 61, 031601 (2000)

    Article  ADS  Google Scholar 

  11. H. Deng, G. Weihs, C. Santori, J. Bloch, Y. Yamamoto, Science 298, 199 (2002)

    Article  ADS  Google Scholar 

  12. L.S. Dang, D. Heger, R. Andre, F. Boeuf, R. Romestain, Phys. Rev. Lett. 81, 3920 (1998)

    Article  ADS  Google Scholar 

  13. M. Richard, J. Kasprzak, R. Andre, R. Romestain, L.S. Dang, G. Malpuech, A. Kavokin, Phys. Rev. B 72, 201301 (2005)

    Article  ADS  Google Scholar 

  14. J. Kasprzak, M. Richard, S. Kunderman, A. Baas, P. Jeambrun, J.M.J. Keeling, F.M. Marchetti, M.H. Szymanska, R. Andre, J.L. Staehli, V. Savona, P.B. Littlewood, B. Deveaud, L.S. Dang, Nature 443, 409 (2006)

    Article  ADS  Google Scholar 

  15. G. Malpuech, D. Solnyshkov, H. Ouerdane, M. Glazov, I. Shelykh, Phys. Rev. Lett. 98, 206402 (2007)

    Article  ADS  Google Scholar 

  16. V.A. Averchenko, A.P. Alodjants, S.M. Arakelian, S.N. Bagayev, E.A. Vinogradov, E.S. Egorov, A.I. Stolyarov, I.A. Chekhonin, Quantum Electron. 36, 532 (2006)

    Article  Google Scholar 

  17. C. Ciuti, Phys. Rev. B 69, 245304 (2004)

    Article  ADS  Google Scholar 

  18. A.P. Alodjants, S.M. Arakelian, S.N. Bagayev, I.A. Chekhonin, E.S. Egorov, J. Russ. Laser Res. 27, 400 (2006)

    Article  Google Scholar 

  19. R. Miller, T.E. Northup, K.M. Birnbaum, A. Bocca, A.D. Boozer, H.J. Kimble, J. Phys. B 38, S551 (2005)

    Article  ADS  Google Scholar 

  20. V.M. Akulin, W.P. Schleich, Phys. Rev. A 46, 4110 (1992)

    Article  ADS  Google Scholar 

  21. S. Jiang, S. Machida, Y. Takiguchi, Y. Yamamoto, H. Cao, Appl. Phys. Lett. 73, 3031 (1998)

    Article  ADS  Google Scholar 

  22. A. Brunetti, M. Vladimirova, D. Scalbert, M. Nawrocki, A.V. Kavokin, I.A. Shelykh, J. Bloch, Phys. Rev. B 74, 241101R (2006)

    Article  ADS  Google Scholar 

  23. F. Laussy, M. Glazov, A. Kavokin, D. Whittaker, G. Malpuech, Phys. Rev. B 73, 115343 (2006)

    Article  ADS  Google Scholar 

  24. A.I. Tartakovskii, D.N. Krizhanovskii, D.A. Kurysh, V.D. Kulakovskii, M.S. Skolnick, J.S. Roberts, Phys. Rev. B 65, 081308 (2002)

    Article  ADS  Google Scholar 

  25. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, G. Stringari, Rev. Mod. Phys. 71, 463 (1999)

    Article  ADS  Google Scholar 

  26. E.L. Bolda, R.Y. Chiao, W.H. Zurek, Phys. Rev. Lett. 86, 416 (2001)

    Article  ADS  Google Scholar 

  27. M.J. Paz-Alonso, H. Michinel, Phys. Rev. Lett. 94, 093901 (2005)

    Article  ADS  Google Scholar 

  28. M. Lax, Fluctuation and Coherence Phenomena in Classical and Quantum Physics (Gordon and Breach, New York, 1969)

    Google Scholar 

  29. G.-S. Paraoanu, S. Kohler, F. Sols, A.J. Leggett, J. Phys. B 34, 4689 (2001)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S.N. Bagayev.

Additional information

PACS

03.75.Lm; 71.36.+c; 42.50.Fx

Rights and permissions

Reprints and permissions

About this article

Cite this article

Alodjants, A., Arakelian, S., Bagayev, S. et al. Josephson dynamics for coupled polariton modes under the atom–field interaction in the cavity. Appl. Phys. B 89, 81–89 (2007). https://doi.org/10.1007/s00340-007-2771-y

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-007-2771-y

Keywords

Navigation