Moscow University Physics Bulletin

, Volume 73, Issue 2, pp 154–161 | Cite as

Fluorescence in a Quantum System with Violated Symmetry

  • N. N. BogolubovJr.Email author
  • A. V. Soldatov
Theoretical and Mathematical Physics


The model of a single multilevel one-electron atom with violated symmetry such that its transition dipole-moment operator has constant diagonal matrix elements, among which not all are pairwise equal to each other, has been studied. It has been shown that the expression for the far electromagnetic field of such an atom does not contain any appreciable contributions from the diagonal matrix elements of the transition dipole moment in an explicit form; thus, these matrix elements have an effect on fluorescence via the time dependence of non-diagonal matrix elements due to quantum non-linear processes of higher orders. It has also been demonstrated that a two-level quantum system, whose transition dipole operator has constant unequal diagonal matrix elements, can continuously fluoresce under excitation with monochromatic laser radiation at a much lower frequency than the frequency of the exciting radiation. The possibility of the experimental detection and practical application of this effect are discussed.


terahertz range radiation frequency conversion two-level atom Rydberg atom quantum dot violated symmetry 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge Univ. Press, 1997).CrossRefGoogle Scholar
  2. 2.
    G. S. Agarwal, Quantum Statistical Theories of Spontaneous Emission and Their Relation to Other Approaches (Springer, Berlin, 1974).CrossRefGoogle Scholar
  3. 3.
    R. J. Glauber, Quantum Theory of Optical Coherence (Wiley, Weinheim, 2007).Google Scholar
  4. 4.
    Z. Ficek and H. S. Freedhoff, Phys. Rev. A 48, 3092 (1993).ADSCrossRefGoogle Scholar
  5. 5.
    Z. Ficek and U. S. Freedhoff, Phys. Rev. A 53, 4275 (1996).ADSCrossRefGoogle Scholar
  6. 6.
    Z. Ficek, J. Seke, A. V. Soldatov, and G. Adam, Phys. Rev. A 64, 013813 (2001).ADSCrossRefGoogle Scholar
  7. 7.
    M. Lax, Phys. Rev. 172, 350 (1968).ADSCrossRefGoogle Scholar
  8. 8.
    C. W. Gardiner, Handbook of Stochastic Methods (Springer, Heidelberg, 1983).CrossRefzbMATHGoogle Scholar
  9. 9.
    H. Carmichael, An Open Systems Approach to Quantum Optics (Springer, Berlin, 1993).zbMATHGoogle Scholar
  10. 10.
    B. R. Mollow, Phys. Rev. 188, 1969 (1969).ADSCrossRefGoogle Scholar
  11. 11.
    F. Schuda, C. R. Stroud, Jr., and M. Hercher, J. Phys. B 7, L198 (1974).ADSCrossRefGoogle Scholar
  12. 12.
    F. Y. Wu, R. E. Grove, and S. Ezekiel, Phys. Rev. Lett. 35, 1426 (1975).ADSCrossRefGoogle Scholar
  13. 13.
    W. Hartig, W. Rasmussen, R. Schieder, and W. Walther, Z. Phys. A 278, 205 (1976).ADSCrossRefGoogle Scholar

Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia

Personalised recommendations