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Optics Communications

Effect of Stark shift on two photon optical tristability

Christian G. Parigger, P. Zoller, Daniel F. Walls

Published Jan 1, 1983• 8 citations
Publisher
DOI
10.1016/0030-4018(83)90203-1

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The theory of the optical multistability by two-photon resonant interaction is investigated. The nonlinear medium inside a Fabry-Perot cavity is in two-photon resonance with the laser beam. The two-photon equation of state including dynamical Stark shift and relaxation parameters is obtained and studied under mean-field approximation. The equations for both Fabry-Perot cavity and ring cavity take basically the same form. The physics mechanisms resulting in optical multistability are also studied. It has been shown that the combined effects of Kerr switching and saturation absorption switching can lead to two-photon optical double-bistability, tristability as well as bistability. Furthermore, the criterion conditions under which double-bistability or tristability can occur are given and discussed. Finally, the phase-conjugated reflectivity by two-photon four-wave mixing is also shown to exhibit multistability as well as hysteresis.

Acta Physica Sinica•Jan 1, 1983•2 citations
The analysis presented in part I of this paper is applied to the two-photon interaction of a cavity field mode with N three-level atoms in a Lambda configuration instead. Reduction of the three-level two-photon model to an effective two-level two-photon model leads to a given effective interaction Hamiltonian, which incorporates the optical Stark effect. Using the technique developed by Collett, Cardinear, Collett and Walls, the authors calculate the squeezing spectra for the output field for different Stark shift in the good cavity limit. For the same driving field strength, the inclusion of Stark shift changes the transmission strength.
The theory of the optical multistability by two-photon resonant interaction is investigated. The nonlinear medium inside a Fabry-Perot cavity is in two-photon resonance with the laser beam. The two-photon equation of state including dynamical Stark shift and relaxation parameters is obtained and studied under mean-field approximation. The equations for both Fabry-Perot cavity and ring cavity take basically the same form. The physics mechanisms resulting in optical multistability are also studied. It has been shown that the combined effects of Kerr switching and saturation absorption switching can lead to two-photon optical double-bistability, tristability as well as bistability. Furthermore, the criterion conditions under which double-bistability or tristability can occur are given and discussed. Finally, the phase-conjugated reflectivity by two-photon four-wave mixing is also shown to exhibit multistability as well as hysteresis.