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Parametric excitation of oscillatory states and symmetry in phase space

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Journal of Contemporary Physics (Armenian Academy of Sciences) Aims and scope

Abstract

We study the excitation of nonlinear dissipative oscillator under influence of a monochromatic force at the level of a few quanta. With this purpose we consider an optical parametric oscillator combined with phase-modulation in which the oscillatory mode is excited through down-conversion process under a monochromatic laser field. The temporal Rabi oscillations of Fock states as well as the properties of oscillatory mode in phase space are studied with use of the Wigner functions.

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References

  1. Haroche, S. and Raimond, J.M., Exploring the Quantum-Atoms, Cavities and Photons, Ch.3, Oxford: Oxford Univ. Press, 2006.

    Book  Google Scholar 

  2. You, J.Q. and Nori, F., Nature, 2011, vol. 474, p. 585; Buluta, I., Ashhab, S., and Nori, F., Rep. Prog. Phys., 2011, vol. 74, p. 104401.

    Article  ADS  Google Scholar 

  3. Baker, G.L. and Blackburn, J.A., The Pendulum, Oxford: Oxford Univ. Press, 2005.

    MATH  Google Scholar 

  4. Khalil, H., Nonlinear Systems, New York: Macmillan, 1996.

    Google Scholar 

  5. Gevorgyan, T.V., Shahinyan, A.R., and Kryuchkyan, G.Yu., Phys. Rev. A, 2009, vol. 79, p. 053828.

    Article  ADS  Google Scholar 

  6. Gevorgyan, T.V., Shahinyan, A.R., and Kryuchkyan, G.Yu., Phys.Rev. A, 2012, vol. 85, p. 053802.

    Article  ADS  Google Scholar 

  7. Murch, K.W., Vijay, R., Barth, I., et al., Nat. Phys. Lett., 2011, vol. 7, p. 105.

    Article  Google Scholar 

  8. Barth, I., Friedland, L., Gat, and Shagalov, A.G., Phys. Rev. A, 2011, vol. 84, p. 013837.

    Article  ADS  Google Scholar 

  9. Wielinga, B. and Milburm, G.J., Phys. Rev. A, 1993, vol. 48, p. 2494; Phys. Rev. A, 1994, vol. 49, p. 5042.

    Article  ADS  Google Scholar 

  10. Kryuchkyan, G.Yu. and Kheruntsyan, K.V., Opt. Comm., 1996, vol. 120, p. 132.

    Google Scholar 

  11. Kheruntsyan, K.V., Krahmer, D.S., Kryuchkyan, G.Yu., and Petrossian, K.G., Opt. Comm., 1997, vol. 139, p. 157.

    Article  ADS  Google Scholar 

  12. Saltiel, S.M., Sukhorukov, A.A., and Kivshar, Y.S., Prog. Optics, 2004, vol. 47, p. 1.

    Article  Google Scholar 

  13. Kheruntsyan, K.V., Kryuchkyan, G.Yu., Mouradyan, N.T., and Petrossian, K.G., Phys. Rev. A, 1998, vol. 57, p. 535.

    Article  ADS  Google Scholar 

  14. Jakob, M. and Kryuchkyan, G.Yu., Phys. Rev. A, 1998, vol. 58, p. 767.

    Article  ADS  Google Scholar 

  15. Kryuchkyan, G.Yu., Jakob, M., and Sargsian, A.S., Phys. Rev. A, 1998, vol. 57, p. 2091.

    Article  ADS  Google Scholar 

  16. Jakob, M. and Kryuchkyan, G.Yu., Phys. Rev. A, 1998, vol. 57, p. 1355.

    Article  ADS  Google Scholar 

  17. Bourassa, J., Gambetta, J.M., et al., Phys. Rev. A, 2009, vol. 80, p. 032109.

    Article  ADS  Google Scholar 

  18. Niemczyk, T., Deppe, F., Huebl, H., Menzel, E.P., et al., Nat. Phys., 2010, vol. 6, p. 772.

    Article  Google Scholar 

  19. Bourassa, J., Beaudoin, F., Gambetta, Jay M., and Blais, A., Phys. Rev. A, 2012, vol. 86, p. 013814.

    Article  ADS  Google Scholar 

  20. Yamamoto, T., Inomata, K., Watanabe, M., et al., Appl. Phys. Lett., 2008, vol. 93, p. 042510.

    Article  ADS  Google Scholar 

  21. Percival, I.C., Quantum State Diffusion, Cambridge: Cambridge University Press, 2000.

    Google Scholar 

  22. Schack, R. and Brunn, T.A., Comp. Phys. Commun., 1997, vol. 102, p. 210.

    Article  ADS  Google Scholar 

  23. Tan, S.M., J. Opt. B, 1999, vol. 1, p. 424.

    Article  ADS  Google Scholar 

  24. Gevorkyan, S.T., Kryuchkyan, G.Yu., and Muradyan, N.T., Phys. Rev. A, 2000, vol. 61, p. 043805.

    Article  ADS  Google Scholar 

  25. Adamyan, H.H., Manvelyan, S.B., and Kryuchkyan, G.Yu., Phys. Rev. A, 2001, vol. 63, p. 022102.

    Article  ADS  Google Scholar 

  26. Adamyan, H.H., Manvelyan, S.B., and Kryuchkyan, G.Yu., Phys. Rev. E, 2001, vol. 64, p. 046219.

    Article  ADS  Google Scholar 

  27. Kryuchkyan, G.Yu. and Muradyan, N.T., Phys. Lett. A, 2001, vol. 286, p. 113.

    Article  ADS  MATH  Google Scholar 

  28. Kryuchkyan, G.Yu., Manukyan, L.A., and Muradyan, N.T., Opt. Comm., 2001, vol. 190, p. 245.

    Article  ADS  Google Scholar 

  29. Kryuchkyan, G.Yu. and Manvelyan, S.B., Phys. Rev. Lett., 2002, vol. 88, p. 094101.

    Article  ADS  Google Scholar 

  30. Kryuchkyan, G.Yu. and Manvelyan, S.B., Phys. Rev. A, 2003, vol. 68, p. 013823.

    Article  ADS  Google Scholar 

  31. Kryuchkyan, G.Yu. and Manukyan, L.A., Phys. Rev. A, 2004, vol. 69, p. 013813.

    Article  ADS  Google Scholar 

  32. Adamyan, H.H. and Kryuchkyan, G.Yu., Phys. Rev. A, 2006, vol. 74, p. 023810.

    Article  ADS  Google Scholar 

  33. Vukics, A. and Ritsch, H., Eur. Phys. J. D, 2007, vol. 44, p. 585.

    Article  ADS  Google Scholar 

  34. Adamyan, N.H., Adamyan, H.H., and Kryuchkyan, G.Yu., Phys. Rev. A, 2008, vol. 77, p. 023820.

    Article  ADS  Google Scholar 

  35. Adamyan, H.H., Adamyan, N.H., Gevorgyan, N.T., Gevorgyan, T.V., and Kryuchkyan, G.Yu., Phys. Part. Nuclei Lett., 2008, vol. 5, p. 161.

    Article  ADS  Google Scholar 

  36. Antonosyan, D.A., Gevorgyan, T.V., and Kryuchkyan, G.Yu., Phys. Rev. A, 2011, vol. 83, p. 043807.

    Article  ADS  Google Scholar 

  37. Astsatryan, H., Gevorgyan, T., and Shahinyan, A., J. Softw. Eng. Appl., 2012, vol. 5, p. 864.

    Article  Google Scholar 

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Correspondence to T. V. Gevorgyan.

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Original Russian Text © T.V. Gevorgyan, G.Yu. Kryuchkyan, 2013, published in Izvestiya NAN Armenii, Fizika, 2013, Vol. 48, No. 3, pp. 161–167.

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Gevorgyan, T.V., Kryuchkyan, G.Y. Parametric excitation of oscillatory states and symmetry in phase space. J. Contemp. Phys. 48, 107–111 (2013). https://doi.org/10.3103/S106833721303002X

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  • DOI: https://doi.org/10.3103/S106833721303002X

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