光子学报, 2014, 43 (9): 0927001, 网络出版: 2014-10-23
光子增加混沌场的退相干和非经典效应
Nonclassical Property and Decoherence of Photon-added Chaotic Field
量子光学 热纠缠态表象 光子增加混沌场 退相干 P表示 Wigner函数 非经典效应 Quantum optics Thermo-entangled state representation Decoherence Photon-added chaotic field P representation Wigner function Nonclassical property
摘要
将产生算符作用在混沌场上, 构造了光子增加混沌场.利用有序算符内的积分技术和热纠缠态表象求解密度矩阵主方程的方法, 研究了振幅衰减模型中光子增加混沌场的退相干和非经典效应.通过解振幅衰减模型中的密度算符的主方程, 得到了初态为光子增加混沌场的密度算符的演化公式.计算了终态密度算符的P表示和Wigner函数, 并数值计算了耗散对其P表示和Wigner函数的影响.结果表明:随耗散时间的增长, 光子增加混沌场的非经典效应减弱.另一方面, 随光子增加数的增加, 其非经典效应也减弱.
Abstract
Photon-added chaotic field is constructed by creation operator roling in chaotic field.Nonclassical property and decoherence of photon-added chaotic field are analysed.Master equations of density operators can be concisely solved by the technique of integration with in an ordered product of operators and virtue of thermo-entangled state representation.We get the evolution formula of the field density operator which is in photon-added chaotic field initially.The evolutions of its Wigner function and the evolutions of P representation are given.The nonclassical property is discussed by calculating its Wigner function in phase space.Numerical results show that the photon-added chaotic field displays nonclassical property initially, and its nonclassical property is weakened with dissipation time increasing.On the other hand, its nonclassical property is also weakened with added photon number increasing.
卢道明. 光子增加混沌场的退相干和非经典效应[J]. 光子学报, 2014, 43(9): 0927001. LU Dao-Ming. Nonclassical Property and Decoherence of Photon-added Chaotic Field[J]. ACTA PHOTONICA SINICA, 2014, 43(9): 0927001.