奇相干态在线性共振力作用激光过程中的退相干

利用有序算符内的积分技术,以及在线性共振力作用激光过程中密度矩阵解的解析表示式,导出了奇相干态密度矩阵在该通道中的演化公式。采用Wigner算符在相干态表象中的表示,给出了奇相干态在该通道中Wigner函数的演化公式。讨论了增益系数和衰减系数变化对Wigner函数的影响。研究结果表明:随增益系数增大和衰减系数增大,Wigner函数的负性减弱,态的非经典效应减弱。另一方面,随耗散过程的延续,Wigner函数负部体积减小,光场量子特性减弱。

Abstract

We obtain the analytical expression of density matrix of odd coherent state by the technique of integration within an ordered product of operators and the analytical expression of the solution of density matrix in laser process under the action of linear resonance force. The Wigner function evolution formula of odd coherent state is incluced. The influence of gain constant and cavity loss constant on nonclassical property of the state is discussed. Numerical results show that the negativity area size and the depth of negativity of its Wigner function decrease with the increase of gain constant and that of cavity loss constant. These results show that nonclassical property of the state is weakened with the increase of gain constant and that of cavity loss constant. On the other hand,the negative volume of Wigner function decreases and nonclassical property of the state is weakened with dissipation time increasing.

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阮文斗, 卢道明. 奇相干态在线性共振力作用激光过程中的退相干[J]. 量子光学学报, 2017, 23(4): 326. RUAN Wen-dou, LU Dao-ming. Decoherence of Odd Coherent State in Laser Process under the Action of Linear Resonance Force[J]. Acta Sinica Quantum Optica, 2017, 23(4): 326.

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