Skip to main content
SpringerLink
Log in

Nonlinear Dynamics of Parametric Oscillations of Exciton–Polaritons in a Semiconductor Microcavity

  • ELECTRONIC PROPERTIES OF SOLID
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The polariton dynamics in a microcavity in the parametric oscillator mode is studied when two pump polaritons turn into polaritons of signal and idler modes and vice versa. The pumping is performed by two laser pulses with close frequencies. Analytical solutions to a system of nonlinear differential equations are obtained. Periodic and aperiodic regimes of transformation of a pair of pump polaritons into polaritons of signal and idler modes, as well as the quiescent mode of the system, are obtained.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.

Similar content being viewed by others

REFERENCES

  1. A. V. Kavokin and G. Malpuech, Thin Films and Nanostructures. Cavity Polaritons, Ed. by V. M. Agranovich and D. Taylor (Elsevier, Amsterdam, 2003).

    Google Scholar 

  2. H. Deng, H. Haug, and Y. Yamamoto, Rev. Mod. Phys. 82, 1489 (2010).

    Article  ADS  Google Scholar 

  3. A. Kavokin, Appl. Phys. A 89, 241 (2007).

    Article  ADS  Google Scholar 

  4. M. M. Glazov and K. V. Kavokin, Phys. Rev. B 73, 245317 (2006).

    Article  ADS  Google Scholar 

  5. I. A. Shelykh, R. Johne, D. D. Solnyshkov, A. V. Kavokin, N. A. Gippius, and G. Malpuech, Phys. Rev. B 76, 155308 (2007).

    Article  ADS  Google Scholar 

  6. D. M. Whittaker, Phys. Rev. B 63, 193305 (2001).

    Article  ADS  Google Scholar 

  7. C. Ciuti, P. Schwendimann, B. Deveaud, and A. Quattropani, Phys. Rev. B 62, R4825 (2000).

    Article  ADS  Google Scholar 

  8. P. G. Savvidis, J. J. Baumberg, R. M. Stevenson, M. S. Skolnick, D. M. Whittaker, and J. S. Roberts, Phys. Rev. Lett. 84, 1547 (2000).

    Article  ADS  Google Scholar 

  9. J. J. Baumberg, P. G. Savvidis, R. M. Stevenson, A. I. Tartakovskii, M. S. Skolnisk, D. M. Whittaker, and J. S. Roberts, Phys. Rev. B 62, R16247 (2000).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  11. P. Schwendimann, C. Ciuti, and A. Quattropani, Phys. Rev. B 68, 165324 (2003).

    Article  ADS  Google Scholar 

  12. P. G. Savvidis, J. J. Baumberg, D. Porras, D. M. Whittaker, M. S. Skolnick, and J. S. Roberts, Phys. Rev. B 65, 073309 (2002).

    Article  ADS  Google Scholar 

  13. I. A. Shelykh, A. V. Kavokin, and G. Malpuech, Phys. Status Solidi B 242, 2271 (2005).

    Article  ADS  Google Scholar 

  14. R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-Ismail, A. I. Tartakovskii, P. G. Savvidis, J. J. Baumberg, and J. S. Roberts, Phys. Rev. Lett. 85, 3680 (2000).

    Article  ADS  Google Scholar 

  15. A. I. Tartakovskii, D. N. Krizhanovskii, G. Malpuech, M. Emam-Ismail, A. V. Chernenko, A. V. Kavokin, V. D. Kulakovskii, M. S. Skolnick, and J. S. Roberts, Phys. Rev. B 67, 165302 (2003).

    Article  ADS  Google Scholar 

  16. A. I. Tartakovskii, D. N. Krizhanovskii, and V. D. Kulakovskii, Phys. Rev. B 62, R13298 (2000).

    Article  ADS  Google Scholar 

  17. C. Ciuti, P. Schwendimann, B. Deveaud, and A. Quattropani, Phys. Rev. B 63, 041303(R) (2001);

  18. Semicond. Sci. Technol. 18, S279 (2003).

  19. P. G. Savvidis, C. Ciuti, J. J. Baumberg, D. M. Whittaker, M. S. Skolnik, and J. S. Roberts, Phys. Rev. B 64, 075311 (2001).

    Article  ADS  Google Scholar 

  20. V. Savona, P. Schwendimann, and A. Quattropani, Phys. Rev. B 71, 125315 (2005).

    Article  ADS  Google Scholar 

  21. A. Kavokin, P. G. Lagoudakis, G. Malpuech, and J. J. Baumberg, Phys. Rev. B 67, 195321 (2003).

    Article  ADS  Google Scholar 

  22. M. Saba, C. Ciuti, J. Bloch, V. Tierry-Mieg, R. Adre, L. S. Dang, S. Kundermann, A. Mura, C. Bongiovanni, J. E. Staehli, and B. Deveaud, Nature (London, U.K.) 414, 731 (2001).

    Article  ADS  Google Scholar 

  23. R. Huang, F. Tassone, and Y. Yamamoto, Phys. Rev. B 61, R7854 (2000).

    Article  ADS  Google Scholar 

  24. A. Baas, J.-Ph. Karr, M. Romanelli, A. Bramati, and E. Giacobino, Phys. Rev. B 70, 161307(R) (2004).

  25. A. Baas, J.-Ph. Karr, H. Eleuch, and E. Giacobino, Phys. Rev. A 69, 023819 (2004).

    Article  ADS  Google Scholar 

  26. D. N. Krizhanovski, S. S. Gavrilov, A. P. D. Love, D. Sanvitto, N. A. Gippius, S. G. Tikhodeev, V. D. Kulakovskii, D. M. Whittaker, M. S. Skolnick, and J. S. Roberts, Phys. Rev. B 77, 115336 (2008).

    Article  ADS  Google Scholar 

  27. P. G. Lagoudakis, P. G. Savvidis, J. J. Baumberg, D. M. Whittaker, P. R. Eastham, M. S. Skolnick, and J. S. Roberts, Phys. Rev. B 65, 161310(R) (2002).

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

  29. L. Dominici, M. Petrov, M. Matuszewski, D. Ballarini, M. De Giorgi, E. Colas, E. Cancellieri, B. S. Fernandez, A. Bramati, G. Gigli, A. Kavokin, F. Laussy, and D. Sanvitto, Nat. Commun. 6, 8993 (2015).

    Article  ADS  Google Scholar 

  30. P. Cristofolini, G. Christmann, S. I. Tsintzos, G. Deligeorgis, G. Konstantinidis, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, Science (Washington, DC, U. S.) 336, 704 (2012).

    Article  ADS  Google Scholar 

  31. P. I. Khadzhi, O. F. Vasil’eva, and I. V. Belousov, J. Exp. Theor. Phys. 126, 147 (2018).

    Article  Google Scholar 

  32. I. Rosenberg, Y. Mazuz-Harpaz, R. Rapaport, K. West, and L. Pfeiffer, Phys. Rev. B 93, 195151 (2016).

    Article  ADS  Google Scholar 

  33. S. I. Tsintzos, A. Tzimis, G. Stavrinidis, A. Trifonov, Z. Hatzopoulos, J. J. Baumberg, H. Ohadi, and P. G. Savvidis, Phys. Rev. Lett. 121, 037401 (2018).

    Article  ADS  Google Scholar 

  34. N. A. Gippius, I. A. Shelykh, D. D. Solnyshkov, S. S. Gavrilov, Y. G. Rubo, A. V. Kavokin, S. G. Tikhodeev, and G. Malpuech, Phys. Rev. Lett. 98, 236401 (2007).

    Article  ADS  Google Scholar 

  35. T. K. Paraiso, M. Wouters, Y. Leger, F. Morier-Genoud, and B. Deveaud-Ple[acute]dran, Nat. Mater. 9, 655 (2010).

    Article  ADS  Google Scholar 

  36. R. Cerna, Y. Leger, T. K. Paraiso, M. Wouters, F. Morier-Genoud, M. T. Portalla-Oberli, and B. Deveaud, Nat. Commun. 4, 2008 (2013).

    Article  ADS  Google Scholar 

  37. T. C. H. Liew, A. V. Kavokin, and I. A. Shelykh, Phys. Rev. Lett. 101, 016402 (2008).

    Article  ADS  Google Scholar 

  38. T. Espinosa-Ortega and T. C. H. Liew, Phys. Rev. B 87, 195305 (2013).

    Article  ADS  Google Scholar 

  39. A. Amo, T. C. H. Liew, C. Adrados, R. Houdre, E. Giacobino, A. V. Kavokin, and A. Bramati, Nat. Photon. 4, 361 (2010).

    Article  ADS  Google Scholar 

  40. O. F. Vasil’eva and P. I. Khadzhi, Opt. Spectrosc. 115, 823 (2013).

    Article  ADS  Google Scholar 

  41. P. I. Khadzhi and O. F. Vasil’eva, Opt. Spectrosc. 111, 814 (2011),

    Article  ADS  Google Scholar 

  42. Phys. Solid State 53, 1283 (2011).

  43. P. I. Khadzhi and O. F. Vasilieva, J. Nanophoton. 6, 061805 (2012),

  44. J. Nanoelectron. Optoelectron. 9, 295 (2014).

    Google Scholar 

  45. C. J. McKonstrie, S. Radic, and M. G. Raymer, Opt. Express 12, 5037 (2004).

    Article  ADS  Google Scholar 

  46. Y. Okawachi, M. Yu. K. Luke, D. O. Carvalho, S. Ramelow, A. Farsi, M. Lipson, and A. L. Gaeta, Opt. Lett. 40, 5267 (2015).

    Article  ADS  Google Scholar 

  47. A. I. Burshtein and A. Yu. Pusep, Sov. Phys. JETP 42, 978 (1975).

    ADS  Google Scholar 

  48. P. I. Khadzhi, Nonlinear Optical Processes in a System of Excitons and Biexcitons in Semiconductors (Shtiintsa, Kishinev, 1985) [in Russian].

  49. L. P. Pitaevskii, Phys. Usp. 41, 569 (1998).

    Article  Google Scholar 

  50. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 2000; Fizmatlit, Moscow, 1963).

  51. G. Korn and T. Korn, Mathematical Handbook for Scientists and Engineers (Nauka, Moscow, 1968; McGraw-Hill, New York, 1961).

  52. O. F. Vasilieva, A. P. Zingan, and P. I. Khadzhi, Opt. Spectrosc. 125, 439 (2018).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Taras Shevchenko Transnistrian State University, MD-3300, Tiraspol, Moldova

    O. F. Vasilieva, A. P. Zingan & V. V. Vasiliev

Authors
  1. O. F. Vasilieva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. P. Zingan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. V. Vasiliev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to O. F. Vasilieva.

Additional information

Translated by I. Nikitin

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vasilieva, O.F., Zingan, A.P. & Vasiliev, V.V. Nonlinear Dynamics of Parametric Oscillations of Exciton–Polaritons in a Semiconductor Microcavity. J. Exp. Theor. Phys. 130, 123–132 (2020). https://doi.org/10.1134/S1063776119110177

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776119110177

Search

Navigation