基于二头猫态和真空态下腔光力系统中的线性熵和保真度

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英文篇名：Linear Entropy and Fidelity of an Optomechanical System Based in the State of Two-headed Cat State and Vacuum State 作者：彭基柱 ; 许业军 ; 臧学平 英文作者：PENG Jizhu;XU Yejun;ZANG Xueping;Interdisciplinary Research Center of Quantum and Photoelectric Information,School of Mechanical and Electronic Engineering,Chizhou University; 关键词：量子光学 ; 腔光力系统 ; 线性熵 ; 保真度 英文关键词：Quantum optics;;Optomechanical system;;Linear entropy;;Fidelity 中文刊名：SZSY 英文刊名：Journal of Suzhou University 机构：池州学院机电工程学院量子信息与光电信息交叉研究中心; 出版日期：2019-03-15 出版单位：宿州学院学报 年：2019 期：v.34;No.193 基金：国家自然科学基金青年科学基金项目(11704051);; 安徽省自然科学基金项目(1808085MA21) 语种：中文; 页：SZSY201903017 页数：4 CN：03 ISSN：34-1289/Z 分类号：70-73

摘要

为更全面理解腔光力系统的量子特性,从系统的哈密度量出发,研究了基于二头猫态和真空态下腔光力系统的动力学演化,计算了光场的线性熵和系统量子态的保真度,并分析了光场初态参量α和系统耦合强度k对线性熵和保真度的影响。结果表明:k取0. 5时,光场线性熵和系统保真度作周期振荡并处于反相状态,且随α增大,分别有光场线性熵极大值增大和系统保真度极小值减小;另外,光场线性熵不随k变化,而系统保真度则随k取值而变化,但如果k为0. 5整数倍时,两者周期均为2π。最后,当α大于1,光场线性熵极大值随k增大而增大,在k大于0. 5后维持稳定值。
        In order to fully understand the quantum properties of the optomechanical system,the dynamic evolution is investigated in the optomechanical system which is composed of 2-headed cat state and vacuum state from Hamiltonian. The linear entropy of the cavity field and the fidelity of the total system are derived. The influence of the initial field parameter α and the coupling coefficient k on the linear entropy and the fidelity is analyzed. The results indicate that when k = n/2,both the linear entropy and the fidelity oscillate with time-evolution periodically,and the linear entropy evolution property is opposed to the fidelity evolution property. Meanwhile the maximum value of the linear entropy and the minimum value of the fidelity respectively increases and decreases with increasing α. In addition,the linear entropy does not vary with k,but the fidelity does. Finally,the linear entropy increases as parameter k increases when α > 1 and k∈[0,0. 5],and reaches a stable value when α > 1 and k > 0. 5.

引文

[1]许业军,李超,李仁仕,等.双光力诱导透明窗口的可调特性[J].光子学报,2017,46(9):220-226.
    [2]ASPELMEYER M,KIPPENBERG T J,MARQUARDT F.Cavity Optomechanics[J]. Reviews of Modern Physics,2013,86(4):1391-1452.
    [3]STOBINSKA M,JEONG H,RALPH T C. Violation of bell's inequality using classical measurements and nonlinear local operations[J]. Physical Review A,2007,75(5):052105.
    [4]HORODECKI R,HORODECKI P,HORODECKI M,et al.Quantum entanglement[J]. Reviews of Modern Physics,2009,81(2):865-942.
    [5]吴道永.双光子过程耦合腔系统中光场的量子特性[J].光子学报,2012,41(9):1104-1107.
    [6]林惇庆,朱泽群,王祖俭,等.相位型三头薛定谔猫态的量子统计属性[J].物理学报,2017,66(10):103-111.
    [7]BOSE S,JACOBS K,KNIGHT P L A. Preparation of nonclassical states in cavities with a moving mirror[J]. Physical Review A,1997,56(5):4175-4186.
    [8]MANCINI S,MANKO V I,TOMTESI P. Ponderomotive control of quantum macroscopic coherence[J]. Physical Review A,1997,55(4):3042-3050.
    [9]JIANG L Y,GUO Q,XU X X,et al. Dynamics and nonclassical properties of an opto mechanical system prepared in four-headed cat state and number state[J]. Optics Communications,2016,369:179-188.
    [10]ZUREK W H,HABIB S,PAZ J P. Coherent states via decoherence[J]. Physical Review Letters,1993,70(9):1187-1190.