腔QED系统中三体纠缠的转移和动力学特性研究  

Study of transfer and dynamics of tripartite entanglement in cavity QED system

作　　者：廖庆洪[1,2] 王荣 李红珍 LIAO Qing-hong;WANG Rong;LI Hong-zhen(Department of Electronic Information Engineering,Nanchang University, Nanchang 330031 ,China;CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026,China;Insti- tute for Advanced Study,Nanchang University,Nanchang 330031,China)

机构地区：[1]南昌大学电子信息工程系,南昌330031 [2]中国科学院量子信息重点实验室,合肥230026 [3]南昌大学高等研究院,南昌330031

出　　处：《光电子．激光》2018年第4期439-447,共9页Journal of Optoelectronics·Laser

基　　金：国家自然科学基金(61368002);江西省杰出青年人才资助计划项目(20162BCB23009);江西省自然科学基金(20161BAB202046);江西省教育厅科技项目(GJJ13051);中国科学院量子信息重点实验室开放课题(KQI201704)资助项目

摘　　要：通过归纳法得到共振条件下k个独立Jaynes-Cummings(J-C)模型系统波函数概率幅的递推关系,给出了任意初态下波函数的解析解。在此基础上重点研究了共振条件下三个独立J-C模型系统中的纠缠动力学特性。结果表明,系统原子间的纠缠与子系统腔场光子数有关系,光子数越多,原子间纠缠第一次死亡的时间越快。同时发现三个子系统的腔场处于真空态时,原子间的纠缠与腔场间的纠缠随时间的演化呈现周期性的行为,并且原子间纠缠达到最小值0时,腔场间纠缠达到最大值1,实现了原子与腔场之间纠缠的相互转移。In this paper, we obtain the recursive relations of the wave function probability amplitude about the system consisting of k independent Jaynes-Cummings （J-C） models under resonance condition by in- ductive method, and give the analytic solutions of the wave function in any arbitrary initial states. We fo- cus on the properties of entanglement dynamics about the system consisting of three independent J-C models under resonance condition. The results show that the entanglement of atoms in system is related to the number of photons of cavity field in the subsystems. The time for entanglement among atoms to die for the first time speeds up as the number of photons increase. At the same time, it is found that the entanglement of the atoms and the entanglement of the quantum fields have periodic changes with time evolution when the quantum fields of three subsystems are in the vacuum states. When entanglement of atoms reaches the minimum of zero, entanglement of cavity fields reaches the maximum value of one, a- chieving the transform of entanglement between atoms and cavity fields.

关 键 词：J-C模型 递推关系 GHZ态 三体纠缠 

分 类 号：O431.2[机械工程—光学工程]