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One-Photon State Generation in a Kicked Cavity with Nonlinear Kerr Medium

  • W. Leoński
  • S. Dyrting
  • R. Tanaś
Conference paper

Abstract

We discuss a cavity with the nonlinear oscillator (corresponding to a Kerr medium) periodically kicked by a series of ultra-short laser pulses. This system is governed by the following Hamiltonian1 (in the interaction picture):
(1)
where χ denotes nonlinearity of the Kerr medium and c is a strength of the field-medium coupling. In addition, we assume that the field is initially in the vacuum state ∣0〉. Assuming that the field coupling is weak, i.e. ∈ ≪ χ, we apply the standard perturbation method of rediagonalization of the Hamiltonian’. In consequence, we obtain the analytical formulas for the probabilities corresponding to the vacuum ∣0〉, one-photon ∣1〉 and two-photon ∣2〉 Fock states. Thus, for the time t just after k-th laser pulse, we have
(2)
where
(3)

Keywords

Laser Pulse Numerical Experiment Number State Nonlinear Oscillator Unitary Evolution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    W. Leoríski and R. Tanaš., Possibility of producing the one-photon state in a kicked cavity with a nonlinear Kerr medium, Phys. Rev. A 49: R20 (1994).CrossRefGoogle Scholar
  2. 1.
    W. Leoíski, S.Dyrting and R. Tana., (in preparation).Google Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • W. Leoński
    • 1
  • S. Dyrting
    • 2
  • R. Tanaś
    • 1
  1. 1.Institute of PhysicsA.Mickiewicz UniversityPoznańPoland
  2. 2.Department of PhysicsUniversity of QueenslandSt. LuciaAustralia

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