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奇相干态在线性共振力作用激光过程中的退相干

Decoherence of Odd Coherent State in Laser Process under the Action of Linear Resonance Force

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摘要

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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中图分类号:O431.2

DOI:10.3788/jqo20172304.0003

所属栏目:量子光学基础

基金项目:福建省自然科学基金(2015J01020)

收稿日期:2017-09-04

修改稿日期:2017-09-19

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作者单位    点击查看

阮文斗:武夷学院 实验室管理中心,福建 武夷山 354300
卢道明:武夷学院机电工程学院,福建 武夷山 354300

联系人作者:阮文斗(rwd@wuyiu.edu.cn)

备注:阮文斗(1966-),男,福州人,工程师,研究方向:量子光学,

【1】Benett C H,Brassard G,Crépeau C,et al.Teleporting an Unknown Quantum State Via Dual Classical and Einstein-Podolsky-Rosen Channels[J].Physical Reviews Letters,1993,70(13):1895-1899.

【2】Ekert A K.Quantum Cryptography based on Bell,s Theorem[J].Physical Reviews Letters,1991,67(3):661-663.

【3】Benett C H,Wiesner S.Communication Via One-and Two-particle Operators on Einstein-Podolsky-Rosen States[J].Physical Reviews Letters,1992,69(20):2881-2884.

【4】Fan H Y,Hu L Y.New Approach for Solving Master Equations in Quantum Optics and Quantum Statistics by Virtue of Thermo-entangled State Representation[J].Communication Theory Physics,2009,51(4):729-742.

【5】Xu X X,Yuan H C,Hu L Y.Nonclassicality and Decoherence of Generalized Squeezed Fock State[J].Acta Physica Sinica,2010,59(7):4661-4671.
徐学翔,袁洪春,胡利云.广义压缩粒子数态的非经典性质及其退相干[J].物理学报,2010,59(7):4661-4671.

【6】Chen F,Fan H Y.Evolution Law of a Negative Binomial State in an Amplitude Dissipative Channel[J].Chinese Physics B,2014,23:030304.DOI:10.1088/1674-1056/23/3/030304.

【7】Xu X L,Li H Q,Fan H Y.Time Evolution of a Squeezed Chaotic Field in an Amplitude Damping Channel Whan Used as a Generating Field for a Squeezed Number State[J].Chinese Physics B,2015,24:070306.DOI:10.1088/1674-1056/24/7/070306.

【8】Zhang H L,Jia F,Xu X X,et al.Decoherence of a Photon-subtraction-addition Coherent State in a Thermal Environment[J].Acta Physica Sinica,2013,62(1):014208.DOI: 10.7498/aps.62.014208.
张浩亮,贾芳,徐学翔,等.光子增减叠加相干态在热环境中的退相干[J].物理学报,Acta Physica Sinica,2013,62(1):014208

【9】Meng X G,Wang J S,Fan H Y,et al.Kraus Operator Solutions to a Fermionic Master Equation Describing a Thermal Bath and Their Matrix Representation[J].Chinese Physics B,2016,25:040302.DOI:10.1088/1674-1056/25/4/040302.

【10】Wu W F.Infinitive Operator-sum Representation for Damping in a Squeezed Heat Reservoir Via the Thermo Entangled State Approach[J].International Journal of Theoretical Physics,2016,55(12):5062-5068.DOI:10.1007/s10773-016-3127-3.

【11】Hu L Y,Wang Q,Wang Z S,et al.Kraus Operator-sum Representation and Time Evolution of Distribution Functions in Phase-sensitive Reservoirs[J].International Journal of Theoretical Physics,2012,51(1):331-349.DOI:10.1007/s10773-011-0991-y.

【12】Ye Q,Cnen Q F,Fan H Y.Integral-form Solution of the Caldeira-Leggett Density Operator Equation Obtained by Virtue of Thermo Entangled State Representation[J].Acta Physica Sinica,2012,61(12):210301.
叶骞,陈千帆,范洪义.利用热纠缠态表象获得Caldeira-Leggett密度算符方程的积分形式解[J].物理学报,2012,61(12):210301.

【13】Liu T K,Shan C J,Liu J B,et al.Master Equation Describing the Diffusion Process for a Choerent State[J].Chinese Physics B,2014,23:030303.DOI:10.1088/1674-1056/23/3/030303.

【14】Yao F,Wang J S,Xu T N.Explicit Solution of Diffusion Master Equation Under the Action of Linear Resonance Force Via the Thermal Entangled State Representation[J].Chinese Physics B,2015,24:070304.DOI:10.1088/1674-1056/24/7/070304.

【15】Lu D M.Solution of the Master Equation in Laser Process Under the Action of Linear Resonance Force[J].International Journal of Theoretical Physics,2017,56(7):2257-2264.DOI:10.1007/s10773-017-3375-x.

引用该论文

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): 326-332

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): 326-332

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