Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Communications in Theoretical Physics

Influence of Noise on Time Evolution of Intensity Correlation Function

Qinghua Cheng, Cao Li, Dahai Xu, Wu Da-Jin

Published Nov 1, 2005• 0 citations
Publisher

Abstract

Using the linear approximation method, we have studied how the correlation function C ( t ) of the laser intensity changes with time in the loss-noise model of the single-mode laser driven by the colored pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts. We have found that when the pump noise self-correlation time τ changes, (i) in the case of τ ≪ 1, the C ( t ) vs. t curve experiences a changing process from the monotonous descending to monotonous rise, and finally to the appearance of a maximum; (ii) in the case of τ≫ 1, the curve only exhibits periodically surging with descending envelope. When τ ≪ 1 and τ does not change, with the increase of the pump noise intensity P , the curve experiences a repeated changing process, that is, from the monotonous descending to the appearance of a maximum, then to monotonous rise, and finally to the appearance of a maximum again. With the increase of the quantum noise intensity Q , the curve experiences a changing process from the monotonous rise to the appearance of a maximum, and finally to the monotonous descending. The increase of the quantum noise with cross-correlation between the real and imaginary parts will lead to the fall of the whole curve, but not affect the form of the time evolution of C ( t ).

DOI
10.1088/6102/44/5/867

Related papers

Influence of Noise with Signal Modulation on Intensity Correlation Function of the Single-mode Laser

Qinghua Cheng, Dahai Xu

Using the linear approximation method,we have studied the time vevolution of intensity correlation function C(t) in a single-mode laser driven by the colored pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts.When pump noise self-correlation time τ changes,we have found that,the time evolution of the C(t) will exhibit various change forms:that is,monotonous descending;monotonous rise;the appearance of a maximum;periodically surging with descending envelope.Furthermore,when the τ is a certain value,the value of the C(t) will lessen with the between the real and imaginary parts of quantum noise correlative increases,but when quantum noise intensity Q increases,the value will increase,and when pump noise intensity P increases,the descending of the C(t) with time has been delayed.

Journal of Optoelectronics·laser•Jan 1, 2004•0 citations

Stochastic Resonance and Simulation of a Single-mode Laser System with Periodically Modulated Signal

Wang Guowei, Fu Yan

The time evolution of intensity correlation functionin a single-mode laser driven by the coloured pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts is studied by using the linear approximation method.In the case of the pump noise self-correlation time 1 << τ , it can be found that: (i)when modulation signal frequency Ω increases, the time evolution ofexperiences a changing process, that is, from the monotonous descending to the descending after the appearance of an initial flat, and finally to the periodically surging with descending envelope; (ii)When the net gain 0 a increases, it experiences a repeatedly changing process, that is, from the monotonous descending to monotonous rise, and to the appearance of a maximum, finally to monotonous descending again.However, in the case of 1 >> τ , the time evolution ofonly exhibits periodically surging with descending envelope.

International Conference on Education, Management and Information Technology (ICEMIT)•Jan 1, 2018•0 citations

Time evolution of the intensity correlation function in a single-mode laser driven by both the coloured pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts

Cheng Qing-Hua, Cao Li, Dahai Xu +1 more

Using the linear approximation, we have studied the time evolution of intensity correlation function C ( t ) in a single-mode laser driven by both the coloured pump noise with signal modulation and the quantum noise with cross-correlation between its real and imaginary parts. In the case of the pump noise with self-correlation time τ<<1, we find that the time evolution of C ( t ) varies with modulation signal frequency Ω , amplitude B and net gain a 0 . (i) As Ω increases, the time evolution of C ( t ) changes from monotonically descending to flat descending and finally to damply oscillating; (ii) as B increases, it changes from monotonically descending to maximal; (iii) as net gain a 0 increases, it changes repeatedly from monotonically descending to monotonically ascending and to maximal, finally to monotonically descending again. However, in the case of τ>>1, the time evolution of C ( t ) only exhibits a form of damping oscillation.

Chinese Physics•May 3, 2005•6 citations

Effects on Intensity Correlation Function by Pump Noise and Quantum Noise with Cross-Correlation Real and Imaginary Parts in a Single-Mode Laser

Qing Cheng

With the linear approximation method, the intensity correlation function C(t) and normalized mean intensity fluctuation C(0) are calculated, which reflects dynamic properties of the laser. The time evolution of C(t) is discussed in a loss noise model of single mode laser system by pump noise and quantum noise with cross correlation real and imaginary parts. The influences on the time evolution of C(t) are analyzed from cross correlation coefficient between the real and imaginary of quantum noise λ q, intensities of the pump noise P and quantum noise Q, respectively. The time evolution of C(t) is a monotonous descending process, while the whole C(t) versus t curve falls down with noises intensity reducing and the cross correlation between real and imaginary parts of the quantum noise weakening, which shows that the great influence of the noises intensity and the cross correlation between real and imaginary parts of the quantum noise on the time evolution of C(t). When t increases, an extremum or three extrema appears in the C(t) versus λ q curve. Finally, the valid range for the linear approximation method is discussed.

Chinese Journal of Lasers•Jan 1, 2004•0 citations

Intensity correlation time of a single-mode laser driven by two coloured noises with coloured cross-correlation with direct signal modulation

Chen Li-Mei, Cao Li, Wu Da-Jin +1 more

In this paper, the intensity correlation time T is studied for the gain-noise model of a single-mode laser driven by coloured pump noise and coloured quantum noise with coloured cross-correlation with a direct signal modulation. By using the linear approximation method, it is found that when the pump noise is modulated directly by a signal, the effects of the cross-correlation between the pump noise and the quantum noise will disappear. In addition, there exists a maximum (i.e. resonance) in the curve of the intensity correlation time T versus the pump noise self-correlation time τ1. Furthermore, when τ1≤τ2, the intensity correlation time T increases monotonically with the increase of D and decreases monotonically with the increase of Q, but when τ1>τ2, the intensity correlation time T increases monotonically with the increase of Q and decreases monotonically with the increase of D.

Chinese Physics•Mar 17, 2005•5 citations

Intensity correlation time of a single-mode laser driven by two colored noises with colored cross-correlation with additive signal

Wu Da-Jin

The intensity correlation time T is studied for gain-noise model of a single-mode laser driven by colored pump noise and colored quantum noise with colored cross-correlation. By using the linear approximation method, we detect that there exist maximum (i.e. resonance) in the T-D and T-I0 curves when the noise correlation coefficien λ is positive; and there exist minimum (i.e. suppression) in the T-D curves and exist one minimum and one maximum in the T-I0 curves when λ is negative. When λ is zero, The intensity correlation time T increases monotonously with the increasing of the quantum noise intensity D and steady-state intensity I0. However, no matter what the value λ is, the intensity correlation time T decreases monotonously with the increasing of the periodic signal amplitude A and the attenuation coefficient γ. Furthermore, we analyze the effect of signal frequency Ω. and the cross-correlation time T3 on the intensity correlation time T, find that has little effect on the T-D, T-I0, T-A and T-γ curves, and T3 has great effects on the T-D, T-I0 and T-A curves but has little effect on the T-γ curves.

Chinese Journal of Quantum Electronics•Jan 1, 2006•0 citations
Using the linear approximation method, we have studied how the correlation function C ( t ) of the laser intensity changes with time in the loss-noise model of the single-mode laser driven by the colored pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts. We have found that when the pump noise self-correlation time τ changes, (i) in the case of τ ≪ 1, the C ( t ) vs. t curve experiences a changing process from the monotonous descending to monotonous rise, and finally to the appearance of a maximum; (ii) in the case of τ≫ 1, the curve only exhibits periodically surging with descending envelope. When τ ≪ 1 and τ does not change, with the increase of the pump noise intensity P , the curve experiences a repeated changing process, that is, from the monotonous descending to the appearance of a maximum, then to monotonous rise, and finally to the appearance of a maximum again. With the increase of the quantum noise intensity Q , the curve experiences a changing process from the monotonous rise to the appearance of a maximum, and finally to the monotonous descending. The increase of the quantum noise with cross-correlation between the real and imaginary parts will lead to the fall of the whole curve, but not affect the form of the time evolution of C ( t ).
Using the linear approximation method,we have studied the time vevolution of intensity correlation function C(t) in a single-mode laser driven by the colored pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts.When pump noise self-correlation time τ changes,we have found that,the time evolution of the C(t) will exhibit various change forms:that is,monotonous descending;monotonous rise;the appearance of a maximum;periodically surging with descending envelope.Furthermore,when the τ is a certain value,the value of the C(t) will lessen with the between the real and imaginary parts of quantum noise correlative increases,but when quantum noise intensity Q increases,the value will increase,and when pump noise intensity P increases,the descending of the C(t) with time has been delayed.
The time evolution of intensity correlation functionin a single-mode laser driven by the coloured pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts is studied by using the linear approximation method.In the case of the pump noise self-correlation time 1 << τ , it can be found that: (i)when modulation signal frequency Ω increases, the time evolution ofexperiences a changing process, that is, from the monotonous descending to the descending after the appearance of an initial flat, and finally to the periodically surging with descending envelope; (ii)When the net gain 0 a increases, it experiences a repeatedly changing process, that is, from the monotonous descending to monotonous rise, and to the appearance of a maximum, finally to monotonous descending again.However, in the case of 1 >> τ , the time evolution ofonly exhibits periodically surging with descending envelope.
Using the linear approximation, we have studied the time evolution of intensity correlation function C ( t ) in a single-mode laser driven by both the coloured pump noise with signal modulation and the quantum noise with cross-correlation between its real and imaginary parts. In the case of the pump noise with self-correlation time τ<<1, we find that the time evolution of C ( t ) varies with modulation signal frequency Ω , amplitude B and net gain a 0 . (i) As Ω increases, the time evolution of C ( t ) changes from monotonically descending to flat descending and finally to damply oscillating; (ii) as B increases, it changes from monotonically descending to maximal; (iii) as net gain a 0 increases, it changes repeatedly from monotonically descending to monotonically ascending and to maximal, finally to monotonically descending again. However, in the case of τ>>1, the time evolution of C ( t ) only exhibits a form of damping oscillation.
With the linear approximation method, the intensity correlation function C(t) and normalized mean intensity fluctuation C(0) are calculated, which reflects dynamic properties of the laser. The time evolution of C(t) is discussed in a loss noise model of single mode laser system by pump noise and quantum noise with cross correlation real and imaginary parts. The influences on the time evolution of C(t) are analyzed from cross correlation coefficient between the real and imaginary of quantum noise λ q, intensities of the pump noise P and quantum noise Q, respectively. The time evolution of C(t) is a monotonous descending process, while the whole C(t) versus t curve falls down with noises intensity reducing and the cross correlation between real and imaginary parts of the quantum noise weakening, which shows that the great influence of the noises intensity and the cross correlation between real and imaginary parts of the quantum noise on the time evolution of C(t). When t increases, an extremum or three extrema appears in the C(t) versus λ q curve. Finally, the valid range for the linear approximation method is discussed.
In this paper, the intensity correlation time T is studied for the gain-noise model of a single-mode laser driven by coloured pump noise and coloured quantum noise with coloured cross-correlation with a direct signal modulation. By using the linear approximation method, it is found that when the pump noise is modulated directly by a signal, the effects of the cross-correlation between the pump noise and the quantum noise will disappear. In addition, there exists a maximum (i.e. resonance) in the curve of the intensity correlation time T versus the pump noise self-correlation time τ1. Furthermore, when τ1≤τ2, the intensity correlation time T increases monotonically with the increase of D and decreases monotonically with the increase of Q, but when τ1>τ2, the intensity correlation time T increases monotonically with the increase of Q and decreases monotonically with the increase of D.
The intensity correlation time T is studied for gain-noise model of a single-mode laser driven by colored pump noise and colored quantum noise with colored cross-correlation. By using the linear approximation method, we detect that there exist maximum (i.e. resonance) in the T-D and T-I0 curves when the noise correlation coefficien λ is positive; and there exist minimum (i.e. suppression) in the T-D curves and exist one minimum and one maximum in the T-I0 curves when λ is negative. When λ is zero, The intensity correlation time T increases monotonously with the increasing of the quantum noise intensity D and steady-state intensity I0. However, no matter what the value λ is, the intensity correlation time T decreases monotonously with the increasing of the periodic signal amplitude A and the attenuation coefficient γ. Furthermore, we analyze the effect of signal frequency Ω. and the cross-correlation time T3 on the intensity correlation time T, find that has little effect on the T-D, T-I0, T-A and T-γ curves, and T3 has great effects on the T-D, T-I0 and T-A curves but has little effect on the T-γ curves.