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The European Physical Journal B

The role of the interactive Kerr effect in two-photon optical multistability

J.A. Hermann, J. N. Elgin, P. L. Knight

Published Sep 1, 1982• 1 citation
Publisher
DOI
10.1007/bf01302988

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Physics Letters A•Dec 1, 1981•6 citations
We focus on the multistability of quantum states in a nonlinear cavity magnonic system based on the cooperative effect of the magnon Kerr nonlinearity and the photon Kerr nonlinearity. Under experimentally feasible parameters, we first verify the multistability of magnon frequency shifts induced by the two nonlinearities by solving the classical mean value equations of the system. Then the multistability of the entangled state and squeezed state in the nonlinear system is revealed by investigating the quantum dynamics of the system fluctuations. By comparison, it is found that the multistable parameter regions for the classical states are exactly the same as those for the quantum states. We also explore the role of the system dissipations in the emergence of multistability, and the numerical results show that the multistable parameter regions will progressively shrink with the increase of the dissipations. These findings are meaningful for the study of nonlinear quantum effects in hybrid systems and may have potential applications in quantum information processing, precision measurement, and multifunctional quantum devices.
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.