双模相干光场与原子依赖强度耦合双光子过程的纠缠演化

分别应用量子约化熵和量子相对熵研究了双模相干光场与原子依赖强度耦合双光子过程中原子与光场之间及光场的双模之间纠缠演化.结果表明,通过选择系统初态参数、控制原子与光场的作用时间,可以调控原子与光场间的纠缠和光场的模间纠缠.可增加或减弱双模相干光场间纠缠,但无法使双模相干光场完全退纠缠.强场条件下,可周期性获得光场与原子的EPR态和可分离态.     

双模相干光场与原子依赖强度耦合双光子过程的纠缠演化

分别应用量子约化熵和量子相对熵研究了双模相干光场与原子依赖强度耦合双光子过程中原子与光场之间及光场的模之间纠缠演化.结果表明,通过选择系统初态参数、控制原子与光场的作用时间,可以调控原子与光场间的纠缠和光场的模间纠缠.可增加或减弱双模相干光场间纠缠,但无法使双模相干光场完全退纠缠.强场条件下,可周期性获得光场与原子的EPR态和可分离态.     

虚光场对双模SU(1,1)相干态光场与原子玻色-爱因斯坦凝聚体相互作用系统中量子纠缠的影响

在双模SU(1,1)相干态光场和原子玻色-爱因斯坦凝聚体相互作用系统中, 应用全量子理论, 在非旋波近似下, 分别利用量子约化熵和量子相对熵, 研究了双模SU(1,1)相干态光场与原子玻色-爱因斯坦凝聚体间的量子纠缠和双模光场的模间纠缠, 讨论了虚光场、原子-场的耦合常数和光场参数对场-凝聚体原子纠缠和光场模间纠缠的影响.     

Bell态原子与双模纠缠相干光场双光子相互作用系统的量子纠缠

运用全量子理论和数值计算的方法,借助于原子的量子约化熵研究了初始处于Bell态|β00>和| β10>的两原子与双模纠缠相干光场双光子相互作用系统中两原子与双模光场之间纠缠的演化特性.分析了光场强度、光场纠缠度及原子间相互作用强度对原子熵演化特性的影响.结果表明:随着双模光场的平均光子数的增大,原子熵的时间演化曲线逐渐变为规则振荡;增大原子间的相互作用强度,原子熵的振荡频率和振幅都减小;改变双模光场的纠缠度,原子熵的振荡频率和振幅都不发生改变.     

SU(1,1)相干态与玻色-爱因斯坦凝聚相互作用系统中的量子纠缠

研究的系统为SU(1, 1)相干态和玻色-爱因斯坦凝聚体相互作用体系，在双光子跃迁过程中，分别用量子约化熵和量子相对熵研究了该系统中的SU(1, 1)相干态与凝聚体间的纠缠以及SU(1, 1)相干态的模间纠缠,分析了光场初始压缩因子、原子间相互作用对场-凝聚体间纠缠和模间纠缠的影响。     

SU(1,1)相干态与玻色-爱因斯坦凝聚相互作用系统中的量子纠缠

研究的系统为SU(1, 1)相干态和玻色-爱因斯坦凝聚体相互作用体系，在双光子跃迁过程中，分别用量子约化熵和量子相对熵研究了该系统中的SU(1, 1)相干态与凝聚体间的纠缠以及SU(1, 1)相干态的模间纠缠,分析了光场初始压缩因子、原子间相互作用对场-凝聚体间纠缠和模间纠缠的影响。     

原子与双模相干强场依赖强度耦合多光子过程中纠缠量度与制备

给出了依赖强度耦合双模多光子过程Jaynes-Cummings模型的有效哈密顿量.在强场条件下,分别用量子约化熵和量子相对熵研究了上述模型中原子与场之间的纠缠以及双模相干场的模间纠缠演化.研究表明,这两类纠缠演化均与原子跃迁时吸收(或发射)的光子数k密切相关.同时,还揭示了双光子过程(k=1)和多光子过程(k≥2)中不同的纠缠特性.讨论了纠缠态的制备,制备了与时间无关的原子-场的Einstein-Podolsky-Rosen态和双模相干场的模间纠缠态.     

双模场与原子相互作用中的量子纠缠和内禀退相干

通过求解系统的Milburn方程，研究了两能级原子与双模SU(1,1)相干态光场发生相互作用系统中，原子与场的纠缠及双模SU(1,1)相干态场的模间纠缠随时间的演化问题，讨论了内禀退相干、双模光子数差等对纠缠度的影响.结果表明，存在内禀退相干时，随着时间的演化，场-原子纠缠逐渐减小到一个确定值，而模间纠缠逐渐增大到一个确定值，两者演化的最终值只取决于双模光子数差和平均光子数，而与内禀退相干因子无关. 关键词： Milburn理论 SU(1 1)相干态 量子约化熵 量子相对熵     

一种基于von Neumann熵的双路径纠缠量子微波信号生成质量评估方法

针对目前没有合适的方法从产生方来表征纠缠量子微波信号的质量好坏, 提出了一种基于von Neumann熵的双路径纠缠量子微波信号生成质量评估方法. 利用双模压缩真空态描述了纠缠量子微波的信号格式, 给出了光子数与压缩参量之间的函数关系, 以熵评估纠缠态信号所占比例, 分析了熵与压缩参量和光子数之间的关系. 仿真结果表明, 纠缠量子微波信号中的光子数是由压缩参量决定的, 它们之间呈指数平方的规律性变化; 熵随着压缩参量的增大而减小, 但是减小的趋势越来越平缓, 近似呈负指数关系, 熵的极限值约为65%. 研究结果表明, 通过选择合适的压缩参量可以提高纠缠微波信号生成质量以满足实际需要, 因此, 本研究对于生成双路径纠缠量子微波电路参数选择、提高系统可用性提供了方法和依据.     

利用双模压缩真空态实现量子态的远程传输

借助于双模压缩真空态在EPR纠缠态表象中的表示，研究了用双模压缩真空态作为量子通道 实现任意的单模和双模量子态的远程传输. 关键词： 量子隐形传态 EPR纠缠态 压缩真空态     

具有原子运动的双光子J-C模型中量子力学通道与量子互熵

用量子信息理论研究具有原子运动的双光子Jaynes_Cumming模型动力学.给出了该模型中表示原子态变化的量子力学通道，导出了量子互熵和原子约化熵，考察了原子运动及场模结构对量子互熵的影响，以及原子量子力学通道“开启”与“关闭”状态和原子与场纠缠程度的关系.结果表明量子力学通道特性强烈依赖于原子运动、场模结构以及原子与场的纠缠. 关键词： 双光子J_C模型 原子运动 量子互熵 量子约化熵 量子学通道     

Quantum entanglement in the system of two two-level atoms interacting with a single-mode vacuum field

The entanglement properties of the system of two two-level atoms interacting with a single-mode vacuum field are explored. The quantum entanglement between two two-level atoms and a single-mode vacuum field is investigated by using the quantum reduced entropy; the quantum entanglement between two two-level atoms, and that between a single two-level atom and a single-mode vacuum field are studied in terms of the quantum relative entropy. The influences of the atomic dipole--dipole interaction on the quantum entanglement of the system are also discussed. Our results show that three entangled states of two atoms--field, atom--atom, and atom--field can be prepared via two two-level atoms interacting with a single-mode vacuum field.     

Properties of field quantum entropy evolution in the Jaynes-Cummings model with initial squeezed coherent states field

The properties of the field quantum entropy evolution in a system of a single-mode squeezed coherent state field interacting with a two-level atom is studied by utilizing the complete quantum theory, and we focus our attention on the discussion of the influences of field squeezing parameter γ, atomic distribution angle θ and coupling strength g between the field and the atom on the properties of the evolution of field quantum entropy. The results obtained from numerical calculation indicate that the amplitude of oscillation of field quantum entropy evolution decreases with the increasing of squeezing parameter γ, and that both atomic distribution angle θ and coupling strength g between the field and the atom can influence the periodicity of field quantum entropy evolution.     

运动强度相关耦合J-C模型中的熵交换和纠缠

考虑一个运动的二能级原子与单模热光场强度相关耦合,采用量子约化熵研究原子和场的约化熵变化规律、原子与场的熵交换,用共生纠缠度研究原子与场的纠缠。并借助于数值计算方法,详细分析了在强度相关耦合J-C模型中,原子初态、热光场的平均光子数以及场模结构参数对熵交换和纠缠的影响。结果表明原子与光场的熵交换和纠缠均周期性地演化。选择适当的原子初态,可以使得原子的约化熵和光场的约化熵完全交换,这意味着原子与光场反相关。此外,场模结构参数增加导致熵交换的幅度减小,周期缩短。原子与热光场的纠缠随平均光子数的增加而减弱。     

Quantum Entanglement in Two-Photon Tavis–Cummings Model with a Kerr Nonlinearity

The properties of quantum entanglement in the two-photon Tavis–Cummings model with a Kerr nonlinearity are studied in terms of quantum information entropy theory. The reduced quantum entropy is employed to investigate the quantum entanglement between two two-level atoms and a single-mode coherent field. The relative quantum entropy is employed to investigate the quantum entanglement between the two two-level atoms. The influences of the nonlinear interaction of the Kerr medium with the field and the atomic dipole-dipole interaction on the properties of quantum entanglement of the system are also examined. Some important results are obtained.     

与量子光场相互作用的运动原子的熵压缩

运用量子信息熵理论，研究了与量子光场相互作用的二能级运动原子的熵压缩，讨论了原子运动和场模结构对原子熵压缩的影响，并且比较了分别从基于信息熵测不准关系和海森伯测不准关系出发得出的结果，表明原子的运动导致了原子熵压缩的周期性演化；随着场模结构参量的增大，熵压缩的演化周期缩短，压缩时间延长；选择适当的系统参量，运动原子能够呈现长时间的持续熵压缩效应。当原子反转为零时，基于海伯堡测不准关系的方差压缩定义不再有效，而熵压缩实现了对原子压缩效应的高灵敏量度。     

Entanglement in a system of two two-level atoms interacting with a single-mode field

We investigate the entanglement in a system of two coupling atoms interacting with a single-mode field by means of quantum information entropy theory. The quantum entanglement between the two atoms and the coherent field is discussed by using the quantum reduced entropy, and the entanglement between the two coupling atoms is also investigated by using the quantum relative entropy. In addition, the influences of the atomic dipole--dipole interaction intensity and the average photon number of the coherent field on the degree of the entanglement is examined. The results show that the evolution of the degree of entanglement between the two atoms and the field is just opposite to that of the degree of entanglement between the two atoms. And the properties of the quantum entanglement in the system rely on the atomic dipole--dipole interaction and the average photon number of the coherent field.     

Atom-photon entanglement in the system with competing k-photon and l-photon transitions

We have investigated the evolution of the atomic quantum entropy and the entanglement of atom-photon in the system with competing k-photon and l-photon transitions by means of fully quantum theory, and examined the effects of competing photon numbers （k and l）, the relative coupling strength between the atom and the two-mode field （A/g）, and the initial photon number of the field on the atomic quantum entropy and the entanglement of atom-photon. The results show that the multiphoton competing transitions or the large relative coupling strength can lead to the strong entanglement between atoms and photons. The maximal atom-photon entanglement can be prepared via the appropriate selection of system parameters and interaction time.     

原子—场耦合系统中非局域性和纯度

本文讨论了光场初态和热库对原子——场耦合系统中量子非局域性和线性熵的影响。我们发现如果腔场无损耗且处于真空库，原子——场态会周期性的展现量子非局域性，原子和场的线性熵也会周期性地振荡，其周期和量子非局域性变化的周期相同。如果腔场损耗很弱而且热库的平均光子数很小，量子非局域性会消失，原子和场振荡的振幅逐渐减小。量子非局域性消失的速度取决于初始压缩相干态的幅度、腔的衰减系数和热库的平均光子数N。场越强、平均光子数和衰减系数越大，非局域性减弱的越快。     

Entropy squeezing of a moving atom and control of noise of the quantum mechanical channel via the two-photon process

Based on the quantum information theory, we have investigated the entropy squeezing of a moving two-level atom interacting with the coherent field via the quantum mechanical channel of the two-photon process. The results are compared with those of atomic squeezing based on the Heisenberg uncertainty relation. The influences of the atomic motion and field-mode structure parameter on the atomic entropy squeezing and on the control of noise of the quantum mechanical channel via the two-photon process are examined. Our results show that the squeezed period, duration of optimal entropy squeezing of a two-level atom and the noise of the quantum mechanical channel can be controlled by appropriately choosing the atomic motion and the field-mode structure parameter, respectively. The quantum mechanical channel of two-photon process is an ideal channel for quantum information （atomic quantum state） transmission. Quantum information entropy is a remarkably accurate measure of the atomic squeezing.