Kerr介质中非线性Jaynes-Cummings模型多光子跃迁的纠缠特性  

Entanglement Properties of Multiphoton Transition with Nonlinear Jaynes-Cummings Model in Kerr Medium

作　　者：张斯淇 李宏 李美萱 郭明 宋立军 ZHANG Siqi;LI Hong;LI Meixuan;GUO Ming;SONG Lijun(Jilin Engineering Laboratory for Quantum Information Technology,Institute for InterdisciplinaryQuantum Information Technology,Jilin Engineering Normal University,Changchun 130052,China)

机构地区：[1]吉林工程技术师范学院量子信息技术交叉学科研究院吉林省量子信息技术工程实验室,长春130052

出　　处：《吉林大学学报（理学版）》2019年第2期399-405,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11347013);吉林省教育厅"十三五"科学研究规划项目(批准号:JJKH20190764KJ);吉林工程技术师范学院博士科研启动专项基金(批准号:BSKJ201828)

摘　　要：在线性和非线性Kerr介质Jaynes-Cummings(J-C)模型中,考虑多光子跃迁时原子和光场纠缠随时间的演化特性,给出原子和光场的纠缠度与跃迁光子数、失谐量、初始光子数、初始态参数及非线性项系数之间的解析关系,并分析其对原子和光场的纠缠度随时间演化的影响.结果表明,在非线性Kerr介质中,当光场与原子初始态接近最大纠缠态,且跃迁光子数较大时,纠缠态可稳定接近最大纠缠态,有利于量子纠缠态的远距离传输.We considered the entanglement properties of multiphoton transition in the linear and nonlinear Kerr medium with Jaynes-Cummings(J-C)model.We gave the analytical relationship between the transition photon numbers,detuning quantity,initial photon numbers,initial state parameter,nonlinear coefficient and the entanglement degrees of atoms and light fields,and analyzed its effect on the entanglement degrees of atoms and light fields with time evolution.The results show that when the initial state is close to the maximum entangled state in the nonlinear Kerr medium,and the transition photon numbers are large,the entangled state is more stable near the maximum entangled state,which is beneficial to the long-distance transmission of quantum entangled states.

关 键 词：非线性Jaynes-Cummings(J-C)模型 KERR介质 多光子跃迁 量子纠缠度 

分 类 号：O431.2[机械工程—光学工程]