Dynamics of Information Entropies of Atom-Field Entangled States Generated via the Jaynes-Cummings Model

In this paper we have studied the dynamical evolution of Shannon information entropies in position and momentum spaces for two classes of(nonstationary)atom-field entangled states,which are obtained via the JaynesCummings model and its generalization.We have focused on the interaction between two-and(1)-type three-level atoms with the single-mode quantized held.The three-dimensional plots of entropy densities in position and momentum spaces are presented versus corresponding coordinates and time,numerically.It is observed that for particular values of the parameters of the systems,the entropy squeezing in position space occurs.Finally,we have shown that the well-known BBM(Beckner,Bialynicki-Birola and Mycielsky)inequality,which is a stronger statement of the Heisenberg uncertainty relation,is properly satisfied.     

相干态Jaynes－Cummings模型中场的振幅N次方压缩

研究了一初始处于基态的二能级原子与相干态光场相互耦合的单光子Ｊａｙｎｅｓ－Ｃｕｍｍｉｎｇｓ（Ｊ－Ｃ）模型中场的振幅Ｎ次方压缩特性，并讨论了其压缩度随光场的初始平均光子数ｎ和压缩阶数Ｎ的变化．     

压缩态初始光场下变耦合系数的Jaynes-Cummings模型

讨论了初始光场为压缩态而且原子一场耦合系数随时间线性变化情形下的Jaynes—Cummings模型。具体研究了原子布居数反转、光场的压缩等随时间的演化性质,讨论了初始光场的压缩系数、压缩相位及耦合系数变化的快慢对这些性质的影响。结果表明,随着光场压缩系数的增大,原子布居数反转的崩塌—回复现象的频率加快,回复值减小,且场中不再出现压缩性。当耦合系数变化较快时会加速崩塌—回复现象。压缩相位增大时,则会减缓崩塌—回复现象的频率,并使回复值减小。     

与压缩真空相互作用的具有强度耦合的广义Jaynes-Cummings模型的相位动力学

考虑具有强度耦合的广义Jaynes-Cummings模型与压缩真空相互作用.根据Pegg和Barnett新的相位理论,不仅得到了压缩真空场的相位分布,相位期待值和相位涨落的普遍表示式,及其演化图示,而且还导出了弱压缩真空和强压缩真空情形的近似角析表示式.对于压缩真空的压缩量与相位特性之间的关系进行了简要讨论.     

Geometric Phase in a Generalized Time-Dependent Jaynes-Cummings Model

By using the Lewis–Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a generalized time-dependent Jaynes-Cummings model. It is found that the geometric phases in a cycle case have nothing to do with the frequency of the electromagnetic wave, the energy difference between two levels of the atom, and the coupling strength between the atom and the light field.     

Geometric Phase in a Time-Dependent A-Type Jaynes-Cummings Model

By using the Lewis-Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a generalized time-dependent A-type Jaynes Cummings model. We lind that, compared with the dynamical phases, the geometric phases in a cycle case are independent of the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency. It is pointed out that the geometric phases in a cycle ease can be measured under the case of a stronger time-dependent photon field and a stronger coupling photon-atom system. On the other hand, the geometric phases of the model may be measured in the composition of cold atoms.     

非旋波近似下双光子Jaynes-Cummings模型中光子反聚束效应的研究

利用弱场-弱耦合-短时近似，研究了旋波近似与非旋波近似下双光子Jaynes－Cummings模型（JCM）中光子的反聚束效应，分析了虚光子过程对此效应的影响。     

非简并双光子Jaynes-Cummings模型中贝尔非定域性的演化

基于赝自旋算符的关联所对应的贝尔算符期待值,研究了各种双模非经典态(纠缠相干态、对相干态以及双模压缩真空态)在非简并双光子Jaynes-Cummings模型中贝尔非定域性的动力学特性.结果表明:对于纠缠相干态,贝尔非定域性的演化与双模场平均光子数的大小息息相关;对于对相干态和双模压缩真空态,贝尔非定域性会在有限的时间内完全消失,之后又基本上复原到初始值,呈现出周期性振荡现象.     

Pseudo-invariant Eigen-operator for Deriving Energy-Level Gap for Jaynes-Cummings Model

We extend the concept of invariant eigen-operator to pseudo-invariant eigen-operator case through analyzing the standard Jaynes-Cummings model. We find the pseudo-invariant eigen-operator in terms of supersymmetric generators of this model, which diretly leads to the energy-level gap for Jaynes-Cummings Hamiltonian.     

耗散Jaynes-Cummings模型中微观与唯象学主方程方法的比较

在有耗散的Jaynes-Cummings模型中,对原子与腔复合系统初始处于贝尔态或是原子激发态而腔场为真空态时分别运用微观与唯象学主方程进行求解,并分析这两类主方程在不同耦合区域的区别．结果显示,在强耦合和大失谐情况下,微观主方程求解得到的原子基态的布居数呈线性增长,但唯象学主方程获得的结果却呈非线性增加．在弱耦合区域,这两类主方程求解得到的原子基态布居数都出现快速增加,但是用唯象学主方程要比用微观主方程得到的布居数增加得更快．通过分析与讨论,该结果可能对耗散的腔QED中更好的实现逻辑门提供理论参考．     

Geometric Phase in a Two Energy Level Jaynes-Cummings Model with Imaginary Photon Process

By using the Lewis–Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a two energy level Jaynes-Cummings model with imaginary photon process. We find that the geometric phases in a cycle case have nothing to do with the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency. If we use the more accuracy device, the geometric phases in the imaginary photon process may be observed, and the geometric phases in this process have the observable physical effect.     

双J-C模型中两原子的纠缠动力学特征

初始处于类贝尔纠缠态的完全一样的二能级原子A和B分别与空间分离的两处于真空场的腔场a和腔场b发生相互作用,利用双Jaynes-Cummings理论模型进行分析,我们采用部分转置矩阵的负本征值(negativity)的方法研究了两原子间纠缠度随时间演化的动力学特征,通过数值计算和理论分析发现在一定参数范围内原子间出现纠缠猝死现象;通过参数调整能有效缩小纠缠猝死区域,在一定的参数条件下能有效消除两原子间的纠缠猝死现象。     

Two-Photon Jaynes-Cummings Model Governed by Milburn Equation with Phase Damping

In this paper, we find an analytic solution of the master equation of a non-resonant two-photon JaynesCummings model (JCM) with phase damping with the help of the super-operator technique. We study the influence of phase damping on non-classical effects in the JCM, such as oscillations of the photon-number distribution, revivals of the atomic inversion, and sub-Possion photon statistics. It is demonstrated that the phase damping suppresses the revivals of the atomic inversion and non-classical effects of the cavity field in the JCM.     

真空态多光子Jaynes—Cummings模型中场的振幅N次方压缩

本文研究了一初始处于原子相干态的二能级原子与真空态场相互耦合的ｋ光子Ｊａｙｎｅｓ－Ｃｕｍｍｉｎｇｓ模型中场的振幅Ｎ次方程压缩特性。结果表明，场不仅存在振幅Ｎ＝ｋ次方压缩，而且当ｋ为偶数时，还存在振幅Ｎ＝ｋ／２次方压缩。     

压缩态J—C模中的崩坍—复原现象

本文详细讨论了单模压缩相干态光场同单个二能级原子多光子相互作用过程中原子能级布居数反转的动力学行为.     

JC模型体系的几何相

利用AA相理论,给出了Jaynes-cummings模型系统在初始状态为固定光子数下的几何相.     

Coherence Loss of Two-Photon Jaynes-Cummings Model in Dispersive Approximation

Completely solving the dissipative dynamics of nonlinear Jaynes-Cumming model is a very difficult task.In our recent work (Phys. Lett. A284 (2001) 156), we just obtained analytical results of the field dissipative dynamics of the nonlinear JCM. In the present paper, employing the perturbative expansion of master equation, we obtain the density operator of the system (field +atom). The coherence losses of the system and of the atom are investigated when two-photon process is involved. We also study the effect of different atomic initial states and the influence of the field amplitude on the atomic coherence loss.     

Approximate Evolution for A Hybrid System—An Optomechanical Jaynes-Cummings Model

In this work, we start from a phenomenological Hamiltonian built from two known systems: the Hamiltonian of a pumped optomechanical system and the Jaynes-Cummings Hamiltonian. Using algebraic techniques we construct an approximate time evolution operator U^(t) for the forced optomechanical system (as a product of exponentials) and take the JC Hamiltonian as an interaction. We transform the later with U^(t) to obtain a generalized interaction picture Hamiltonian which can be linearized and whose time evolution operator is written in a product form. The analytic results are compared with purely numerical calculations using the full Hamiltonian and the agreement between them is remarkable.     

Exact Solution for Jaynes-Cummings Model with Bosonic Field Nonlinearity and Strong Boson-Fermion Coupling

We use Lewis-Riesenfeld invariant approach to treat the modified Jaynes-Cummings models involving any forms of nonlinearty of the bosonic field when strong boson-fermion couplings are nilpotent Grassmann valued. The general state functions, time evolution operator and the time-evolution expressions for both the bosonic number and the fermionic number are presented.     

双光子J-C模型场熵的压缩特性

研究了双光子过程J—C模型场熵的压缩特性，讨论了原子初态和失谐量对场熵压缩特性的影响。