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Chinese Physics Letters

Mean First-Passage Time in Optical Bistable Systems

宁丽娟, Wei Xu

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

开车由的一个光双稳态的系统的短暂性质趋于增加并且添加剂噪音被调查。效果趋于增加并且在在二个相反的方向的吝啬的第一经过的时间(MFPT ) 的添加剂噪音紧张被讨论。结果证明紧张趋于增加并且添加剂噪音以一样的方法在二个方向上影响 MFPT。

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有跨 correlated 颜色噪音和小时间延期的一个光双稳态的系统的松驰时间 T 被调查。用 Novikov 定理和福克斯途径，稳定的概率分发被获得。T 的表示用 Stratonovich 去耦 ansatz 形式主义被导出。松驰时间 T 与增加增加 0 在二噪音或自我关联之间预定 1 趋于增加的噪音的跨关联的时间，这被发现，但是有增加的自我关联的减少预定 2 添加剂噪音。T 与增加的关联紧张或趋于增加的噪音紧张 Q 减少，但是与增加的添加剂噪音紧张 D 增加。在那里存在在 T 对延期时间的曲线的一座山峰。
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.