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Bistable behaviour in squeezed vacua: I. Stationary analysis |
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| Authors: | S. S. Hassan H. A. Batarfi R. Saunders R. K. Bullough |
| Affiliation: | (1) Ain Shams University, Faculty of Science, Mathematics Department, Cairo, Egypt, EG;(2) King Abdul-Aziz University, Faculty of Science, Mathematics Department (Women's Section), P.O. Box 41101, Jeddah 21521, Saudi Arabia, SA;(3) Department of Mathematics and Physics, Manchester Metropolitan University, Manchester M1 5GD, England, GB;(4) UMIST, Mathematics Department, P.O. Box 88, Manchester M60 1QD, England, GB |
| Abstract: | A time-independent theoretical and numerical analysis of an optical bistable model of two-level atoms in a ring cavity, driven by a coherent field and in contact with a squeezed vacuum field is presented in the two cases of absorptive and dispersive optical bistability (OB). In the former case, a suitable choice of the phase of the squeezed vacuum field reduces the threshold for OB to occur compared with the normal vacuum case. In the latter case, regions of OB are identified as one or two disconnected simple closed curves depending on the cooperation parameter [0pt] : is the maximum possible value of the critical value of C at fixed values of the squeezed vacuum field parameters. Phase switching effects between different (output) states of the system is investigated in detail. In the absorptive case, one- or two-way optical switching is possible depending on [0pt] . We also present results which demonstrate more complicated switching behaviour in the dispersive case. Received 12 March 1999 and Received in final form 20 August 1999 |
| Keywords: | PACS. 42.65.Pc Optical bistability multistability and switching - 42.65.Sf Dynamics of nonlinear optical systems optical instabilities and optical chaos and complexity and optical spatio-temporal dynamics |
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