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

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


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):
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


Laser Pulse Numerical Experiment Number State Nonlinear Oscillator Unitary Evolution 
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  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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