中国物理B ›› 2004, Vol. 13 ›› Issue (3): 353-358.doi: 10.1088/1009-1963/13/3/016

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Moments of the intensity of a single-mode laser driven by coloured pump noises with a cross-correlation between the real and imaginary parts of the quantum noise

吴大进1, 曹力2, 张莉3   

  1. (1)CCAST (World Laboratory), P. O. Box 8730, Beijing 100080, China; Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China; (2)State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China; CCAST (World Laboratory), P. O. Box 8730, Beijing 100080, China; Department of Physics, Huazhong University of Science and Technology, Wuhan 4300; (3)State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China; Hubei Automobile Industry Institute, Shiyan 442002, China
  • 收稿日期:2003-05-16 修回日期:2003-09-15 出版日期:2004-03-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10275025).

Moments of the intensity of a single-mode laser driven by coloured pump noises with a cross-correlation between the real and imaginary parts of the quantum noise

Zhang Li (张莉)ab, Cao Li (曹力)acd, Wu Da-Jin (吴大进)cd   

  1. a State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China; b Hubei Automobile Industry Institute, Shiyan 442002, China; c CCAST (World Laboratory), P. O. Box 8730, Beijing 100080, China; d Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2003-05-16 Revised:2003-09-15 Online:2004-03-06 Published:2005-07-06
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10275025).

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摘要： By means of the unified coloured noise approximation and phase lock, we study in this paper the stationary intensity distribution of the single-mode laser cubic model driven by coloured pump noise with cross-correlation between the real and imaginary parts of the quantum noise. We present a thorough discussion of how the cross-correlation λ_q between the real and imaginary parts of the quantum noise and the self-correlation time τ of the pump noise determine the behaviours of the mean intensity 〈I〉 and variance λ_2 (0) for both below and above the threshold operation, and many new phenomena are discovered. When the laser is operated above the threshold, increasing the cross-correlation intensity λ_q makes the 〈I 〉－τ curves exhibit a "re-entrant phase transition". Whether the laser is above or below the threshold, the whole 〈I 〉－τ curve moves down as λ_q increases; however, when λ_q=1 (perfect cross-correlation), the curve abruptly runs up. A nonzero value of cross-correlation time τ (τ≠0) leads to the entire λ_2(0)－p′ curve being suppressed (here p′ is the pump noise intensity). This indicates the increasing precision of the laser beam due to the existence of the self-correlation time τ. The behaviour of the λ_2 (0)－p′ curve as a function of λ_q is similar to that of the 〈I 〉－τ curve against λ_q: that is, whether the laser is above or below the threshold, the λ_2 (0)－p′ curve moves up as λ_q increases; however, when λ_q=1, the curve suddenly moves down. Through the study in this paper, we can find a way to optimize for output laser intensity.τ

关键词: moments of the laser intensity, coloured pump noises, 　cross-correlation

Abstract: By means of the unified coloured noise approximation and phase lock, we study in this paper the stationary intensity distribution of the single-mode laser cubic model driven by coloured pump noise with cross-correlation between the real and imaginary parts of the quantum noise. We present a thorough discussion of how the cross-correlation $\lambda_q$ between the real and imaginary parts of the quantum noise and the self-correlation time $\tau$ of the pump noise determine the behaviours of the mean intensity 〈I〉 and variance $\lambda_2$ (0) for both below and above the threshold operation, and many new phenomena are discovered. When the laser is operated above the threshold, increasing the cross-correlation intensity $\lambda_q$ makes the 〈I〉－$\tau$ curves exhibit a "re-entrant phase transition". Whether the laser is above or below the threshold, the whole 〈I〉－$\tau$ curve moves down as  $\lambda_q$ increases; however, when $\lambda_q$=1 (perfect cross-correlation), the curve abruptly runs up. A nonzero value of cross-correlation time $\tau$ ($\tau$≠0) leads to the entire $\lambda_2$(0)－p′ curve being suppressed (here p′ is the pump noise intensity). This indicates the increasing precision of the laser beam due to the existence of the self-correlation time $\tau$. The behaviour of the $\lambda_2$ (0)－p′ curve as a function of $\lambda_q$ is similar to that of the 〈I 〉－$\tau$ curve against $\lambda_q$: that is, whether the laser is above or below the threshold, the $\lambda_2$ (0)－p′ curve moves up as $\lambda_q$ increases; however, when $\lambda_q$=1, the curve suddenly moves down. Through the study in this paper, we can find a way to optimize for output laser intensity.

Key words: moments of the laser intensity, coloured pump noises, 　cross-correlation

中图分类号:  (Quantum fluctuations, quantum noise, and quantum jumps)

  • 42.50.Lc
42.60.Fc (Modulation, tuning, and mode locking)