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Four-Photon Adiabatic Excitation of Rydberg States

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

Abstract

Propagation of four laser pulses in the five-level ladder system in the case of arbitrary intensities and the different strengths of oscillators is investigated, when one of the eigenstates of the interaction Hamiltonian is formed in the whole volume of the medium. Taking into account the first non-adiabatic correction, the equations of propagation are obtained. An analytical solution of these equations is obtained. The conditions for an effective excitation of the fifth level in the whole volume of medium and the limitations on the interaction parameters are obtained as well.

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References

  1. Shore, B.W., The Theory of Coherent Atomic Excitation, New York: Wiley, 1990.

    Google Scholar 

  2. Ter-Mikhaelyan, M.L., Physics-Uspekhi, 1997, Vol. 40, p. 1195.

    Article  ADS  Google Scholar 

  3. Hau, L.V., Harris, S.E., Dutton, Z., and Behroozi, C.H., Nature, 1999, Vol. 397, p. 594.

    Article  ADS  Google Scholar 

  4. Wang, L.J., Kuzmich, A., and Dogariu, A., Nature, 2000, Vol. 406, p. 277.

    Article  ADS  Google Scholar 

  5. Akulshin, A.M., Cimmino, A., Sidorov, A.I., Hannaford, P., and Opat, G.I., Phys. Rev. A, 2003, Vol. 67, p. 011801.

    Article  ADS  Google Scholar 

  6. Kuzmich, A., Dogariu, A., Wang, L.J., Milonni, P.W., and Chiao, R.Y., Phys. Rev. Lett., 2001, Vol. 86, p. 3925.

    Article  ADS  Google Scholar 

  7. Fleischhauer, M., Imamoglu, A., and Marangos, J.P., Rev. Mod. Phys., 2005, Vol. 77, p. 633.

    Article  ADS  Google Scholar 

  8. Scully, M.O. and Zubairy, M.S., Quantum Optics, Cambridge: Cambridge University Press, 1997.

    Book  Google Scholar 

  9. Vitanov, N.V., Rangelov, A.A., Shore, B.W., and Bergmann, K., Rev. Mod. Phys., 2017, Vol. 89, p. 015006.

    Article  ADS  Google Scholar 

  10. Kral, P., Thanopulos, I., and Shapiro, M., Rev. Mod. Phys., 2007, Vol. 79, p. 53.

    Article  ADS  Google Scholar 

  11. Saffman, M., Walker, T.G., and Molmer, K., Rev. Mod. Phys., 2010, Vol. 82, p. 2313.

    Article  ADS  Google Scholar 

  12. Li, L., Dudin, Y.O., and Kuzmich, A., Nature, 2013, Vol. 498, p. 466.

    Article  ADS  Google Scholar 

  13. Grigoryan, G., Chaltykyan, V., Gazazyan, E., Tikhova, O., and Paturyan, V., Phys. Rev. A, 2015, Vol. 91, p. 023802.

    Article  ADS  Google Scholar 

  14. Carr, C., Tanasittikosol, M., Sargsyan, A., Sarkisyan, D., Adams, C.S., and Weatherill, K.J., Opt. Lett., 2012, Vol. 37, p. 3858.

    Article  ADS  Google Scholar 

  15. Gazazyan, E.A., Grigoryan, G.G., and Chaltykyan, V.O., J. Contemp. Phys. (Armenian Ac. Sci.), 2015, Vol. 50, p. 233.

    Article  ADS  Google Scholar 

  16. Gazazyan, E.A. and Grigoryan, G.G., J. Exp. Theor. Phys., 2017, Vol. 124, p. 540.

    Article  ADS  Google Scholar 

  17. Gazazyan, E.A. and Grigoryan, G.G., J. Contemp. Phys. (Armenian Ac. Sci.), 2016, Vol. 51, p. 244.

    Article  ADS  Google Scholar 

  18. Grigoryan, G.G., Nikoghosyan, G.V., Halfmann, T., Pashayan-Leroy, Y.T., Leroy, C., and Guerin, S., Phys. Rev. A, 2009, Vol. 80, p. 033402.

    Article  ADS  Google Scholar 

  19. Chaltykyan, V., Grigoryan, G., and Nikogosyan, G., Phys. Rev. A, 2003, Vol. 68, p. 013819.

    Article  ADS  Google Scholar 

  20. Courant, R. and Hilbert, D., Methods of Mathematical Physics, New York: Wiley-Interscience, 1989.

    Book  MATH  Google Scholar 

  21. Grischkowsky, D., Courtens, E., and Armstrong, J.A., Phys. Rev. Lett., 1973, Vol. 31, p. 422.

    Article  ADS  Google Scholar 

  22. Grigorian, G. and Melikian, A., Physics Letters A, 1986, Vol. 114, p. 455.

    Article  ADS  Google Scholar 

  23. Kondo, J.M., Šibalić, N., Guttridge, A., Wade, C.G., De Melo, N.R., Adams, C.S., and Weatherill. K.J., Opt. Lett., 2015, Vol. 40, p. 5570.

    Article  ADS  Google Scholar 

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Correspondence to D. N. Khachatryan.

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Original Russian Text © E.A. Gazazyan, G.G. Grigoryan, D.N. Khachatryan, 2018, published in Izvestiya Natsional'noi Akademii Nauk Armenii, Fizika, 2018, Vol. 53, No. 4, pp. 391–401.

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Gazazyan, E.A., Grigoryan, G.G. & Khachatryan, D.N. Four-Photon Adiabatic Excitation of Rydberg States. J. Contemp. Phys. 53, 293–300 (2018). https://doi.org/10.3103/S1068337218040047

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  • DOI: https://doi.org/10.3103/S1068337218040047

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