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Semiconductor Physics Quantum Electronics & Optoelectronics

Noise induced re-entrant transitions in exciton bistable system

Iurii Gudyma

Published Mar 1, 2006• 0 citations
Publisher

Abstract

We study a re-entrant transition in an exciton bistable system under the influence of multiplicative noise.The re-entrant behavior is predictable for specific values of the system control parameter when increasing the multiplicative noise intensity.The system of Wannier-Mott excitons exhibits bistable ↔ monostable transitions in a window of intermediate amplitudes of the multiplicative noise intensity demonstrating its destructive and constructive role.

DOI
10.15407/spqeo9.01.088

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We study a re-entrant transition in an exciton bistable system under the influence of multiplicative noise.The re-entrant behavior is predictable for specific values of the system control parameter when increasing the multiplicative noise intensity.The system of Wannier-Mott excitons exhibits bistable ↔ monostable transitions in a window of intermediate amplitudes of the multiplicative noise intensity demonstrating its destructive and constructive role.
The transient properties of a three-level atomic optical bistable system in the presence of multiplicative and additive noises are investigated. The explicit expressions of the mean first-passage time (MFPT) of the transition from the high intracavity intensity state to the low one are obtained by numerical computations. The impacts of the intensities of the multiplicative noise D M and the additive noise D A , the intensity of correlation between two noises λ, and the intensity of the incident light y on the MFPT are discussed, respectively. Our results show: (i) for the case of no correlation between two noises (λ = 0.0), the increase in D M and D A can lead to an increase in the probability of the transition to the low intracavity intensity state, while the increase in y can lead to a retardation of the transition; and (ii) for the case of correlation between two noises (λ = 0.0), the increase in λ can cause an increase in the probability of the transition, and the increase in D A can cause a retardation of the transition firstly and then an increase in the probability of the transition, i.e., the noise-enhanced stability is observed for the case of correlation between two noises.
The influence of noise on an optical bistable system in the vicinity of one of the bifurcation points is investigated by studying the transient response to a step input of light. The experiment is performed under absorptive conditions in a sodium-filled nonlinear Fabry-Perot in the bad cavity limit. Alternatively, a bistable electronic circuit (Schmitt trigger) is shown to exhibit the same type of behavior while admitting more detailed studies. On the monostable side of the bifurcation point, we observe a transient bimodality as well as a shift of the average switching delay to shorter times with increasing noise. Both results are in accord with a recent prediction by Broggi and Lugiato. We also present indications that the average switching time is smoothly connected with the lifetime of the metastable state on the bistable side of the bifurcation point.
In this paper we focus on the state equation of absorptive optical bistable system with cross-correlated multiplicative noise $\ensuremath{\xi}(t)$ and additive noise $\ensuremath{\eta}(t)$. We find that the area of optical bistability with positive cross-correlation expands in comparison with the deterministic case. Furthermore, a very peculiar phenomenon is shown, namely when the cooperativity parameter C<4C<4C<4, noise still can induce optical bistability. The phenomenon of noise-induced optical bistability in this paper is just the example of noise-induced phase transition.