Journal of Russian Laser Research

, Volume 23, Issue 1, pp 81–91 | Cite as

Entangled Quantum States in Consecutive and Cascade Nonlinear Optical Processes

  • A. V. Nikandrov
  • A. S. Chirkin


Two schemes for producing entangled photon states with different frequencies are considered, with one frequency being smaller than the pumping frequency and the other one higher than the pumping frequency. It is shown that such frequency‐entangled states can be obtained at consecutive interactions in a single periodically poled nonlinear crystal or in cascade processes that are realized in two crystals located one after the other. A comparison of the efficiencies for producing the frequency‐entangled states in such methods is done. It is shown that the consecutive interaction is more effective than the cascade one for producing entangled quantum states and squeezed light.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    L. Mandel, Rev. Mod. Phys., 71, S274 (1999).Google Scholar
  2. 2.
    A. Zeilinger, Rev. Mod. Phys., 71, S288 (1999).Google Scholar
  3. 3.
    D. Bouwmeester, A. Eckert, and A. Zeilinger, The Physics of Quantum Information, Springer-Verlag, Berlin (2000).Google Scholar
  4. 4.
    I. V. Bargatin, B. A. Grishanin, and V. N. Zadkov, Usp. Fiz. Nauk, 171, 625 (2001).Google Scholar
  5. 5.
    S. A. Akhmanov and A. S. Chirkin, Statistical Phenomena in Nonlinear Optics [in Russian], M. V. Lomonosov Moscow State University Press (1971).Google Scholar
  6. 6.
    D. N. Klyshko, Pis'ma Zh. Éksp. Teor. Fiz., 6, 490 (1967).Google Scholar
  7. 7.
    R. L. Byer, J. Nonlin. Opt. Phys. Mat., 6, 549 (1997).Google Scholar
  8. 8.
    A. S. Chirkin, V. V. Volkov, G. D. Laptev, and E. Yu. Morozov, Quantum Electron., 30, 847 (2000).Google Scholar
  9. 9.
    A. S. Chirkin, Opt. Spektrosk., 87, 627 (1999).Google Scholar
  10. 10.
    A. S. Chirkin, J. Opt. B: Quantum Semiclass. Opt., 4, No 3 (2002, in press).Google Scholar

Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • A. V. Nikandrov
    • 1
  • A. S. Chirkin
    • 1
  1. 1.Physics DepartmentM. V. Lomonosov Moscow State University, Vorob'evy GoryMoscowRussia

Personalised recommendations