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Quasiclassical approximation for the resonant Kapitza–Dirac scattering

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

Abstract

In a momentum space, the resonant Kapitza–Dirac effect is described by the difference Schrödinger equation the step of which is the two-photon recoil momentum. For the interferometry of a multipath atom, the case of intense counter-propagating waves is of interest, when the number of generated momenta can reach to some tens. After that, in an intermediate stage of calculations, the discrete momentum distribution is regarded as a continuous one, and the Taylor expansion is applicable to it. This approximation preserves the spectrum of a diffraction well, in particular, the formation of a pair of almost monopulse states from the initial Gaussian distribution.

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References

  1. Muradyan, A.Zh., Izvestiya AN Arm. SSR, Fizika, 1975, vol. 10, p. 361.

    Google Scholar 

  2. Cook, R.J. and Bernhardt, A.F., Phys. Rev. A, 1978, vol. 18, p. 2533.

    Article  ADS  Google Scholar 

  3. Atom Interferometry, P.R. Berman, Ed., New York, Academic Press, 1997.

  4. Kasevich, M. and Chu, S., Phys. Rev. Lett., 1991, vol. 67, p. 181.

    Article  ADS  Google Scholar 

  5. Rohwedder, B., Eur. Phys. J., 2001, vol. 13, p. 255.

    ADS  Google Scholar 

  6. Cronin, A.D., Schmiedmayer, J., and Pritchard, D.E., Rev. Mod. Phys., 2009, vol. 81, p. 1051.

    Article  ADS  Google Scholar 

  7. Li, W.-D., He, T., and Smerzi, A., Phys. Rev. Lett., 2014, vol. 113, p. 023003.

    Article  ADS  Google Scholar 

  8. Connor, J.N.L., Uzer, T., Marcus, R.A., and Smith, A.D., J. Chem. Phys., 1984, vol. 80, p. 5095.

    Article  ADS  MathSciNet  Google Scholar 

  9. Holstein, B.R., Am. J. Phys., 1988, vol. 56, p. 894.

    Article  ADS  Google Scholar 

  10. Balzer, B., Dilthey, S., Stock, G., and Thoss, M., J. Chem. Phys., 2003, vol. 119, p. 5795.

    Article  ADS  Google Scholar 

  11. Hovhannisyan, L.A. and Muradyan, A.Zh., J. Contemp. Phys. (Armenian Ac. Sci.), 2010, vol. 45, p. 12.

    Article  ADS  Google Scholar 

  12. Horne, M., Jex, I., and Zeilinger, A., Phys. Rev. A, 1999, vol. 59, p. 2190.

    Article  ADS  Google Scholar 

  13. Champenois, C., Buchner, M., Delhuille, R., Mathevet, R., Robilliard, C., Rizzo, C., and Vigue, J., Eur. Phys. J. D, 2001, vol. 13, p. 271.

    Article  ADS  Google Scholar 

  14. Muradyan, G. and Muradyan, A.Zh., Phys. Scr., 2015, vol. 90, p. 115401.

    Article  ADS  Google Scholar 

  15. Muradyan, A.Zh., The Effects of Multiphoton Recoil and Optical Anisotropy in the Field of Laser Radiation, PhD thesis, YSU, Yerevan, 1979.

    Google Scholar 

  16. Arimondo, E., Bambini, A., and Stenholm, S., Phys. Rev. A, 1981, vol. 24, p. 898.

    Article  ADS  Google Scholar 

  17. Kazantsev, A.P., Surdutovich, G.I., and Yakovlev, V.P., Mechanical Action of Light on Atoms, Singapore: World Scientific, 1990.

    Book  Google Scholar 

  18. Metcalf, H.J. and van der Straten, P., Laser Cooling and Trapping. New York: Springer-Verlag, 1999.

    Book  Google Scholar 

  19. Muradyan, G. and Muradyan, A., Int. Conference and Workshop QuantArm 2014, Armenia, Abstracts, 2014, p. 32.

    MATH  Google Scholar 

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Correspondence to A. Zh. Muradyan.

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Original Russian Text © G.A. Muradyan, A.Zh. Muradyan, 2017, published in Izvestiya Natsional'noi Akademii Nauk Armenii, Fizika, 2017, Vol. 52, No. 3, pp. 271–278.

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Muradyan, G.A., Muradyan, A.Z. Quasiclassical approximation for the resonant Kapitza–Dirac scattering. J. Contemp. Phys. 52, 195–200 (2017). https://doi.org/10.3103/S1068337217030021

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  • DOI: https://doi.org/10.3103/S1068337217030021

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