The mean first passage time of a three-level atomic optical bistable system subjected to noise

doi:10.1088/1674-1056/22/6/060503

中国物理B ›› 2013, Vol. 22 ›› Issue (6): 60503-060503.doi: 10.1088/1674-1056/22/6/060503

The mean first passage time of a three-level atomic optical bistable system subjected to noise

魏永刚^{a c}, 曾春华^{a b}, 王华^{a c}, 李孔斋^{a c}, 胡建杭^{a c}

a Engineering Research Center of Metallurgical Energy Conservation and Emission Reduction, Ministry of Education,Kunming University of Science and Technology, Kunming 650093, China;
b Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China;
c Faculty of Metallurgy and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China

收稿日期:2012-09-17 修回日期:2013-01-07 出版日期:2013-05-01 发布日期:2013-05-01
基金资助:
Project supported by the Natural Science Foundation of Yunnan Province of China (Grant No. 2010CD031) and the Key Project of Research Fund of Education Department of Yunnan Province of China (Grant No. 2001Z011), and the Candidate Talents Training Fund of Yunnan Province, China (Grant No. 2012HB009).

The mean first passage time of a three-level atomic optical bistable system subjected to noise

Wei Yong-Gang (魏永刚)^{a c}, Zeng Chun-Hua (曾春华)^{a b}, Wang Hua (王华)^{a c}, Li Kong-Zhai (李孔斋)^{a c}, Hu Jian-Hang (胡建杭)^{a c}

a Engineering Research Center of Metallurgical Energy Conservation and Emission Reduction, Ministry of Education,Kunming University of Science and Technology, Kunming 650093, China;
b Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China;
c Faculty of Metallurgy and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China

Received:2012-09-17 Revised:2013-01-07 Online:2013-05-01 Published:2013-05-01
Contact: Zeng Chun-Hua, Wang Hua E-mail:zchh2009@126.com; wanghuaheat@hotmail.com
Supported by:
Project supported by the Natural Science Foundation of Yunnan Province of China (Grant No. 2010CD031) and the Key Project of Research Fund of Education Department of Yunnan Province of China (Grant No. 2001Z011), and the Candidate Talents Training Fund of Yunnan Province, China (Grant No. 2012HB009).

摘要/Abstract

摘要： 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 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.

关键词: additive noise, multiplicative noise, correlations between two noises, mean first passage time

Abstract: 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 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.

Key words: additive noise, multiplicative noise, correlations between two noises, mean first passage time

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

05.70.-a (Thermodynamics)

魏永刚, 曾春华, 王华, 李孔斋, 胡建杭. The mean first passage time of a three-level atomic optical bistable system subjected to noise[J]. 中国物理B, 2013, 22(6): 60503-060503.

Wei Yong-Gang (魏永刚), Zeng Chun-Hua (曾春华), Wang Hua (王华), Li Kong-Zhai (李孔斋), Hu Jian-Hang (胡建杭). The mean first passage time of a three-level atomic optical bistable system subjected to noise[J]. Chin. Phys. B, 2013, 22(6): 60503-060503.

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The mean first passage time of a three-level atomic optical bistable system subjected to noise

The mean first passage time of a three-level atomic optical bistable system subjected to noise

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