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Applied Physics B

, Volume 72, Issue 1, pp 43–50 | Cite as

Conditional quantum-state engineering in repeated 2-photon down-conversion

  • J. Clausen
  • H. Hansen
  • L. Knöll
  • J. Mlynek
  • D.-G. Welsch
Article

Abstract.

The U(1,1) and U(2) transformations realized by three-mode interaction in the respective parametric approximations are studied in conditional measurement, and the corresponding non-unitary transformation operators are derived. As an application, the preparation of single-mode quantum states using an optical feedback loop is discussed, with special emphasis on Fock-state preparation. For that example, the influence of non-perfect detection and feedback is alsoconsidered.

PACS: 42.50.Ct; 42.50.Dv; 03.65.Bz 

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Copyright information

© Springer-Verlag 2000

Authors and Affiliations

  • J. Clausen
    • 1
  • H. Hansen
    • 2
  • L. Knöll
    • 1
  • J. Mlynek
    • 2
  • D.-G. Welsch
    • 1
  1. 1.Friedrich-Schiller-Universität Jena, Theoretisch-Physikalisches Institut, Max-Wien-Platz 1, 07743 Jena, Germany (Fax: +49-3641/9-47102, E-mail: J.Clausen@tpi.uni-jena.de)DE
  2. 2.Universität Konstanz, Fakultät für Physik, Universitätsstr. 10, 78457 Konstanz, Germany (Fax: +49-7531/88-3072, E-mail: Juergen.Mlynek@uni-konstanz.de)DE

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