The influence of the cavity damping on the Rabi oscillations in the few-atom Jaynes-Cummings model within and without rotating-wave approximation for initial coherent field

Summary The influence of the cavity damping and the counter-rotating terms on the Rabi oscillations in the few-atom Jaynes-Cummings model is investigated for an initial coherent field. The time behaviour of the atomic population inversion and dipole moment is calculated numerically.     

The influence of the counter-rotating terms on the steady state in the Dicke model

Summary It is pointed out that the inclusion of the counter-rotating terms into the Dicke model with cavity losses prevents a total de-excitation of the atomic system and new steady states for the atomic population inversion, which could be of experimental importance, appear.     

The effect of the counter-rotating terms on the squeezing in the Jaynes-Cummings model for a coherent field

Summary The effect of the counter-rotating terms on the squeezing in the Jaynes-Cummings model is demonstrated. The time behaviour of the atomic population inversion, atomic and field squeezing parameters for an initially coheret field is calculated numerically.     

The influence of the counter-rotating terms on the single-atom spontaneous emission inside a low-Q cavity

Summary Taking into account the counter-rotating terms, an exact equation of motion for the atomic population inversion is derived in the case of the single-atom spontaneous emission inside a damped cavity, by applying a modified Robertson projection-operator method developed previously by the authors. For strongly damped (low-Q) cavities an analytic solution showing the significance of the effect of the counter-rotating terms is obtained. Experimental verification with Rydberg atoms may be feasible.     

Influence of the counter-rotating terms on the squeezing and rabi oscillations in the Jaynes-Cummings model

Summary The significant influence of the counter-rotating terms on the squeezing and collapse (revival) phenomena in the Jaynes-Cummings model is pointed out. Numerical results for the time evolution of the atomic population inversion, and atomic and field squeezing parameters for different initial fields (coherent and squeezed) are presented. The author of this paper has agreed to not receive the proofs for correction.     

The effect of the counter-rotating terms on the dynamical behaviour in the coherent-state jaynes-cummings model with cavity losses

Summary The effect of the counter-rotating terms in the coherent-state Jaynes-Cummings model with cavity losses is studied. Numerical results for the atomic-population inversion show a significant influence of the counter-rotating terms on the dynamical behaviour.     

Creation of quantum correlations between two atoms in a dissipative environment from an initial vacuum state

We have investigated the effect of counter-rotating terms on the dynamics of entanglement and quantum discord between two identical atoms interacting with a lossy single mode cavity field for a system initially in a vacuum state. The counter-rotating terms are found to lead to steady states in the long-time limit which can have high quantum discord, but have no entanglement. The effect of cavity decay rate on this steady-state quantum discord has been also investigated, surprisingly, the increase in cavity decay rate is found to enhance the steady-state quantum discord.     

Coherent control of spontaneous emission: Effect of counter-rotating terms

We study the coherent control of spontaneous emission in a driven three-level atomic system. In particular we consider the quantum interference effects including energy shifts due to the counter-rotating terms. We show that the quantum interference resulting from the energy shifts has great influence on the evolution of the atomic population and the spontaneous emission spectrum. This makes it feasible to observe the effect of the counter-rotating terms in the long time limit.     

依赖于时间和强度耦合Jaynes-Cummings模型中原子的量子特性

本文研究了依赖于时间和强度耦合Jaynes-Cummings模型中原子的动力学行为.详细讨论了脉冲宽度和腔场强度对原子能级布居数反转的影响.     

非旋波近似下频率变化的光场对原子布居反转的调控

利用相干态正交化展开方法,在非旋波近似下研究了原子的布居反转随时间的演化情况.数值计算的结果表明了,场频以及耦合强度不随时间变化时,布居反转的周期随着平均光子数的增加而增大,虚光子效应引起的快速振荡随耦合强度的增大而逐渐增大.当光场随时间做正弦调制时,光场的振幅α和角频率β对布居反转的演化都会产生很大影响.光场随时间做方波形式变化,会导致原子布居反转出现新的塌缩回复现象.无论是正弦调制还是方波调制,都会对由虚光子效应产生的小锯齿状的振荡产生影响. 关键词： 相干态正交化展开 非旋波近似 原子布居数反转     

外场驱动对双原子Tavis-Cummings模型中原子和腔场性质的影响

研究受外部经典场驱动的双原子Tavis-Cummings模型中原子和腔场的特性. 分析了腔场初态为相干态的情况,求出外场驱动下原子系统粒子布居差、光场的平均光子数和Mandel Q参数，并进行了数值分析. 特别讨论了外部驱动场对此模型中原子和腔场性质的影响.     

Gravitational Jaynes–Cummings model beyond the rotating wave approximation

In this paper, the quantum properties of a two-level atom and the cavity-field in the Jaynes?CCummings model with the gravity beyond the rotating wave approximation are investigated. For this purpose, by solving the Schr?dinger equation in the interaction picture, the evolving state of the system is found by which the influence of the counter-rotating terms on the dynamical behaviour of atomic population inversion and the probability distribution of the cavity-field as quantum properties is explored. The results in the atom?Cfield system beyond the rotating wave approximation with the gravity show that the quantum properties are not completely suppressed under certain conditions.     

非等同双原子与双模腔场相互作用模型中原子布居的时间演化

研究了两个非等同二能级原子与双模腔场耦合系统中原子能级布居的时间演化规律. 并详细讨论了两个原子与双模腔场的相对耦合常数(R=g₁/g₂)和腔场的初态对原子能级布居数反转的影响. 关键词： 双模腔场 双原子体系 原子布居     

多光子过程中相位退相干时两原子布局数反转

利用全量子理论的方法,研究了存在相位退相干时多光子T-C模型中两个二能级原子与二项式光场相互作用系统中两原子的布居数反转。讨论了相位退相干系数、二项式光场系数、最大光子数、跃迁光子数对原子布居数反转的影响。结果表明：相位退相干减少了原子布居数反转的振幅、破坏了原子的量子特性。改变跃迁光子数,可以改变原子间布居数反转演化周期及演化强度。当二项式光场的最大光子数增大时,原子布居差的崩塌-回复现象就会逐渐消失。相位退相干因子不变时, 二项式光场从相干态过渡到数态过程中,原子布居的振荡频率由大变小,周期性的崩塌与回复现象逐渐消失。     

多光子过程中相位退相干时两原子布局数反转

利用全量子理论的方法,研究了存在相位退相干时多光子T-C模型中两个二能级原子与二项式光场相互作用系统中两原子的布居数反转。讨论了相位退相干系数、二项式光场系数、最大光子数、跃迁光子数对原子布居数反转的影响。结果表明：相位退相干减少了原子布居数反转的振幅、破坏了原子的量子特性。改变跃迁光子数,可以改变原子间布居数反转演化周期及演化强度。当二项式光场的最大光子数增大时,原子布居差的崩塌-回复现象就会逐渐消失。相位退相干因子不变时, 二项式光场从相干态过渡到数态过程中,原子布居的振荡频率由大变小,周期性的崩塌与回复现象逐渐消失。     

两个原子与双模腔场的多光子相互作用：场和原子的动力学性质

研究一对偶极相互作用原子与双模量子腔场的多光子相互作用，分析场和原子的动力学性质，给出腔模平均光子数和原子反转度时间演化的解析表达式，考察腔模初态、初场强度以及原子间偶极－偶极相互作用的影响。     

压缩态光场变耦合系数双光子J-C模型性质

讨论了初始光场为压缩态、原子-光场耦合系数随时间变化情形下双光子过程J-C模型的量子统计性质。具体研究了双光子过程中原子布居数反转、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快慢对这些性质的影响。研究结果表明,初始光场的压缩系数增大,崩塌和回复的频率增大,回复值减小。当原子-光场耦合系数变化缓慢时,崩塌和回复现象被延迟。而光场逐渐失去压缩性质;而当耦合系数变化较快时,崩塌和回复现象被加速,而光场压缩量将产生振荡,压缩效应将反复出现。     

原子-场强度相关耦合时原子质心平移运动与内态布居的关系

基于原子与腔场共振相互作用及原子-场缀饰态,讨论了驻波腔场中两能级原子与场耦合强度相关时的原子质心的量子化平移运动对原子内态布居间的相互影响。结果表明原子平移运动敏感地依赖于原子的内态布居。特别地,当原子处于两内态等权重同位相迭加态时,平移运动呈现出很稳定的特征。     

Virtual Photon Effects on Chaos in Generalized Lorenz-Haken Equation

The dynamics of an ensemble of two-level atoms injected into a single-mode cavity is studied in the exact atom-field interaction situation, in which the counter-rotating terms describing the so-called virtual photon processes neglected in the rotating-wave approximation, are considered. The cavity mode is driven by the injected classical field,and the atom is prepared in a coherent superposition of the two levels. We first derive the generalized Lorenz-Haken equation by using the technique of quantum Langevin equation, and then numerically study the dynamics of this equation.We find that the virtual photon processes have strong effects on the dynamics, which can cause the trajectory in phase space of strange attractor spiral around four focus points, and the trajectory is modulated by virtual photon processes.The chaos region in parameter space is now enlarged. It should be stressed that the strange attractor can exist in optical bistability, and whether the atomic coherences and classical field can inhibit chaos depends on the laser frequency.     

Non—conservation of energy arising from atomic dipole interactions and its effects on light field and coupled atoms

The interactions between coupled atoms and a single mode of a quantized electromagnetic field, which involve the terms originating from the dipole interactions, are discussed. In the usual Jaynes－Cummings model for coupled atoms, the terms of non-conservation of energy originating from dipole interactions are neglected, however, we take them into consideration in this paper. The effects of these terms on the evolutions of quantum statistic properties and squeezing of the field, the squeezing of atomic dipole moments and atomic population inversion are investigated. It has been shown that the coupling between atoms modulates these evolutions of fields and atoms. The terms of non-conservation of energy affect these evolutions of fields and atoms slightly. They also have effects on the squeezing of the field, the squeezing of atomic dipole and atomic population inversions. The initial states of atoms also affect these properties.