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DISPERSIVE SWITCHIN GI N BISTABLE MODELS

Hanan Ali Batarfi

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

Novel switching processes in optical bistable models of homogeneously or inhomogeneously broadened 2-level atoms placed in ring cavity with atoms in contact with normal or squeezed vacuum reservoirs are investigated. This is done through computational examination of the relevant input-output relationship by simultaneously varying the atomic and cavity detuning parameters for fixed values of the input laser field.

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Physical Review A•Aug 1, 1995•35 citations
Novel switching processes in optical bistable models of homogeneously or inhomogeneously broadened 2-level atoms placed in ring cavity with atoms in contact with normal or squeezed vacuum reservoirs are investigated. This is done through computational examination of the relevant input-output relationship by simultaneously varying the atomic and cavity detuning parameters for fixed values of the input laser field.
The steady state behaviour of a bistable system of a homogeneously/inhomogeneously broadened two-level atomic medium in contact with a squeezed vacuum field and placed in a ring cavity driven by a coherent field is analysed within the mean field limit where the transverse effect of the radiation field is taken into account within the single-transverse-mode model. Effects on the input–output relation and the critical value of the cooperative parameter C crit are examined and compared with these results in the plane wave approximation. The 'cooperative switching effect' between the output states of the system due to variation of the cooperative parameter C is also investigated. Linear stability analysis for the model Maxwell–Bloch equations is presented in the homogeneously broadened case.
We analyze the absorptive and hybrid absorptive–dispersive double-cavity optical bistability behavior in a four-level N-type atomic system driven by two optical fields circulating inside two independently unidirectional ring cavities and a trigger field outside the cavities. In this system, the two-photon absorption and cross Kerr nonlinearity play significant roles in the formation of bistability and can be controlled efficiently due to the quantum interference effect, and then the resulting nonlinear behavior exhibits different features from the two/three-level schemes. It is shown that the threshold values and hysteresis cycle width of the bistable curve can be manipulated via the adjustment of the system parameters. Meanwhile, we also obtain double-beam optical multistability. When adding positive and negative pulses to the cavity input, all-optical steady-state switching for the two cavity outputs can be achieved simultaneously. Therefore, the proposed scheme may have potential applications in all-optical communication and computing.
We discuss the optical bistable behavior of a system of N two-level atoms pumped by a coherent input field and coupled to a squeezed vacuum field by treating the optical bistability of such a system as an input-output problem. We consider the equation of motion for atomic dipole moments, coupled to the cavity field and the squeezed vacuum, and the boundary condition connecting the input and output fields with the atomic lowering operator. A simple analytical expression for the influence of the squeezed vacuum input on the bistable behavior of the output field is derived by this method. The results indicate a strong influence of the squeezed vacuum input on optical bistability. The squeezed (stretched) vacuum input field tends to increase (decrease) the range of optical bistability.