Skip to main content
Log in

Particularities of optical pumping effects in cold and ultra-slow beams of Na and Cs in the case of cyclic transitions

  • Lasers and Their Application
  • Published:
Optics and Spectroscopy Aims and scope Submit manuscript

Abstract

The time-dependent population dynamics of hyperfine (HF) levels of n 2 p 3/2 states is examined for cyclic transitions in alkali atoms. We study a slow and cold atomic beam of Na (n = 3) and Cs (n = 6), taking into account the long interaction time of light with atoms (~200 μs) inside the resonant laser beam. Simple analytical expressions for the populations of the excited states and for the intensities of the absorption lines are derived for a three-level system model. We show that at moderate pump laser power the mixing of HF levels is sufficient to form a flow of population from a cyclic transition to partially open transitions. We discuss various phenomena associated with the evolution of optical pumping that cannot be explained by general analysis of two-level system model.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. W. Happer, Rev. Mod. Phys. 44, 169 (1972).

    Article  ADS  Google Scholar 

  2. C. Cohen-Tannoudji and A. Kastler, Optical Pumping (North-Holland, Amsterdam, 1966).

    Book  Google Scholar 

  3. C. Cohen-Tannoudji, Rev. Mod. Phys. 70, 707 (1998).

    Article  ADS  Google Scholar 

  4. B. W. Shore, The Theory of Coherent Atomic Excitation (Wiley, New York, 1990).

    Google Scholar 

  5. I. Sydoryk, N. N. Bezuglov, I. I. Beterov, et al., Phys. Rev. A 77, 04251 (2008).

    Article  Google Scholar 

  6. H. J. Metcalf and P. van der Straten, Laser Cooling and Trapping (Springer, New York, 1999).

    Book  Google Scholar 

  7. J. Alnis and M. Auzinsh, J. Phys. B 34, 3889 (2001).

    Article  ADS  Google Scholar 

  8. E. B. Aleksandrov and V. S. Zapasskii, Laser Magnetic Spectroscopy (Nauka, Moscow, 1986) [in Russian].

    Google Scholar 

  9. J. Ulmanis, J. Deiglmayr, M. Repp, R. Wester, and M. Weidemuller, Hem. Rev. 112, 4890 (2012).

    Google Scholar 

  10. A. Camposeo et al., Opt. Commun. 200, 231 (2001).

    Article  ADS  Google Scholar 

  11. C. O’Dwyer, G. Gay, B. Viaris de Lesegno, et al., Nanotecnology 16, 1536 (2005).

    Article  Google Scholar 

  12. N. F. Ramsey, Molecular Beams (Clarendon, Oxford, 1989).

    Google Scholar 

  13. Atomic and Molecular Beam Techniques, Ed. by G. Scoles (Oxford Univ. Press, Oxford, 1988).

    Google Scholar 

  14. N. Porfido, F. Fuso, N. N. Bezuglov, A. Ekers, et al., Phys. Rev. A (2015, in press).

    Google Scholar 

  15. R. Garcia-Fernandez, A. Ekers, J. Klavins, L. P. Yatsenko, N. N. Bezuglov, B. W. Shore, and K. Bergmann, Phys. Rev. A 71, 023401 (2005).

    Article  ADS  Google Scholar 

  16. L. Allen and J. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).

    Google Scholar 

  17. I. Sobelman, Atomic Spectra and Radiative Transitions (Nauka, Moscow, 1977; Springer, Berlin, 1978).

    Google Scholar 

  18. A. B. Migdal and V. P. Krainov, Approximation Methods in Quantum Mechanics (Nauka, Moscow, 1978; Benjamin, New York, 1969).

    Google Scholar 

  19. M. Bruvelis, J. Ulmanis, N. N. Bezuglov, et al., Phys. Rev. A 86, 012501 (2012).

    Article  ADS  Google Scholar 

  20. M. V. Fedoryuk, Method of Saddle Points (Nauka, Moscow, 1963) [in Russian].

    Google Scholar 

  21. S. Stenholm, Foundations of Laser Spectroscopy (Courier Dover, New York, 2005).

    Google Scholar 

  22. L. D. Landau and E. M. Lifshits, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Nonrelativistic Theory (Nauka, Moscow, 1989; Pergamon, New York, 1977).

  23. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products (Fizmatgiz, Moscow, 1971; Academic, New York, 2000).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. K. Efimov.

Additional information

Original Russian Text © M. Bruvelis, A. Cinins, A. Leitis, D.K. Efimov, N.N. Bezuglov, A.S. Chirtsov, F. Fuso, A. Ekers, 2015, published in Optika i Spektroskopiya, 2015, Vol. 119, No. 6, pp. 1038–1049.

The article was translated by the authors.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bruvelis, M., Cinins, A., Leitis, A. et al. Particularities of optical pumping effects in cold and ultra-slow beams of Na and Cs in the case of cyclic transitions. Opt. Spectrosc. 119, 1038–1048 (2015). https://doi.org/10.1134/S0030400X1512005X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0030400X1512005X

Keywords

Navigation