基于Jaynes-Cummings模型的量子参数估计与初态优化

参数估计理论是根据实验测量数据推断物理模型中未知参数的重要理论工具.Jaynes-Cumming模型是量子光学中广泛使用的模型,描述了二能级原子和单模量子光场之间的相互作用.利用参数估计理论系统地研究了该模型中光-原子耦合强度g的估计精度,并找到了可达到最高估计精度的初态.该结果可以提高基于Jaynes-Cumming模型的量子精密测量的精度,该研究方法也可用于其他基于混合量子系统的量子度量学研究.

退相干演化对Jaynes-Cummings模型影响的考察

使用混态演化的Kraus求和方法,考虑在退极化模式下,基于Jaynes-Cummings模型设定初态,对退相干时间演化后末态的保真度与von Neumann熵的变化进行了讨论分析.结果表明,存在退相干演化的量子态保真度会随时间发生衰减振荡至稳定,而von Neumann熵会随时间发生振幅减小的振荡变化.

Entropy squeezing and atomic inversion in the K-photon Jaynes–Cummings model in the presence of the Stark shift and a Kerr medium:A full nonlinear approach

The interaction between a two-level atom and a single-mode field in the k-photon Jaynes-Cummings model （JCM） in the presence of the Stark shift and a Kerr medium is studied. All terms in the Hamiltonian, such as the single-mode field, its interaction with the atom, the contribution of the Stark shift and the Kerr medium effects are considered to be f-deformed. In particular, the effect of the initial state of the radiation field on the dynamical evolution of some physical properties such as atomic inversion and entropy squeezing are investigated by considering different initial field states （coherent, squeezed and thermal states）.

Entropy squeezing of an atom with a k-photon in the Jaynes-Cummings model

The entropy squeezing of an atom with a k-photon in the Jaynes Cummings model is investigated. For comparison, we also study the corresponding variance squeezing and atomic inversion. Analytical results show that entropy squeezing is preferable to variance squeezing for zero atomic inversion. Moreover, for initial conditions of the system the relation between squeezing and photon transition number is also discussed. This provides a theoretical approach to finding out the optimal entropy squeezing.

Atom–field entanglement in the Jaynes Cummings model without rotating wave approximation

In this paper, we present a structure for obtaining the exact eigenfunctions and eigenvalues of the Jaynes-Cummings model （JCM） without the rotating wave approximation （RWA）. We study the evolution of the system in the strong coupling region using the time evolution operator without RWA. The entanglement of the system without RWA is investigated using the Von Neumann entropy as an entanglement measure. It is interesting that in the weak coupling regime, the population of the atomic levels and Von Neumann entropy without RWA model shows a good agreement with the RWA whereas in strong coupling domain, the results of these two models are quite different.

Level crossing in a two-photon Jaynes-Cummings model

In this paper,the energy spectrum of the two-photon Jaynes-Cummings model（TPJCM） is calculated exactly in the non-rotating wave approximation（non-RWA）,and we study the level-crossing problem by means of fidelity.A narrow peak of the fidelity is observed at the level-crossing point,which does not appear at the avoided-crossing point.Therefore fidelity is perfectly suited for detecting the level-crossing point in the energy spectrum.

Squeezing effect of the cavity field in the two-atom Jaynes-Cummings model

Authors investigate the model that two two level atoms interact with a single mode cavity. The formulation of the time evolution operator for the two atom Jaynes Cummings model is presented by the bare states approach. Besides, squeezing effect of the cavity field is studied and some novel features are obtained.

Dynamics of Jaynes-Cummings Model in the Absence of Rotating-Wave Approximation

Jaynes-Cummings 模型(JCM ) 被一种协调状态的扩大技术当 therotating 波浪近似(RWA ) 不在时学习。与协调状态的扩大仅仅在被执行到第三份订单的以前的纸比较，我们在这篇论文的供打包的酒菜没有 theRWA，确切表明 JCM 的动力学的完全的扩大。我们的学习给一个系统的方法解决 non-RWA 问题，它将在各种各样的 physicai 系统是有用的，例如，在有 uitracold 的一个系统，套住的离子经历跑激光飘动。

New approach to solving master equations of density operator for the Jaynes Cummings model with cavity damping

By introducing thermo-entangled state representation Ⅰη〉, which can map master equations of density operator in quantum statistics as state-vector evolution equations, and using ＂dissipative interaction picture＂ we solve the master equation of Jaynes-Cummings model with cavity damping. In addition we derive the Wigner function for density operator when the atom is initially in the up state Ⅰ↑〉 and the cavity mode is in coherent state.

Photon statistical properties of the cavity field in the two-atom Jaynes-Cummings model

The model that two two level atoms interact with a singel mode cavity is studied. The exact solution of the time evolution operator for the two atom Jaynes Cummings model is presented by the bare states approach. Furthermore, we investigate the dynamical properties of the photon statistics of the cavity field, and obtain a number of novel features.

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

我们通过分析标准 Jaynes-Cummings 模型扩大不变的 eigen 操作员的概念到 pseudo-invarianteigen-operator 大小写。我们以这个模型的超级对称的发电机发现 thepseudo 不变的 eigen 操作员，哪个到为 Jaynes-Cummings Hamiltonian 的精力级的差距的 diretlyleads。

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 dynamicsof the nonlinear JCM. In the present paper, employing the perturbative expansion of master equation, we obtain thedensity operator of the system (field +atom). The coherence losses of the system and of the atom are investigated whentwo-photon process is involved. We also study the effect of different atomic initial states and the influence of the fieldamplitude on the atomic coherence loss.

依赖于时间的Jaynes-Cummings模型中的反聚束效应

利用龙格一库塔数值技术对多个方程组连续进行积分，提出了一种处理依赖于时间的Jaynes-Cummings模型的普遍方法．并用它来研究一个二能级原子与腔场的相互作用．在不同时间脉冲宽度和不同失谐量的情况下，讨论了光子二阶关联函数随时间的演化过程．最后讨论此方法在强场情况的适用性问题．

Effective Hamiltonian of the Jaynes–Cummings model beyond rotating-wave approximation

The Jaynes–Cummings model with or without rotating-wave approximation plays a major role to study the interaction between atom and light. We investigate the Jaynes–Cummings model beyond the rotating-wave approximation. Treating the counter-rotating terms as periodic drivings, we solve the model in the extended Floquet space. It is found that the full energy spectrum folded in the quasi-energy bands can be described by an effective Hamiltonian derived in the highfrequency regime. In contrast to the Z_(2) symmetry of the original model, the effective Hamiltonian bears an enlarged U(1)symmetry with a unique photon-dependent atom-light detuning and coupling strength. We further analyze the energy spectrum, eigenstate fidelity and mean photon number of the resultant polaritons, which are shown to be in accordance with the numerical simulations in the extended Floquet space up to an ultra-strong coupling regime and are not altered significantly for a finite atom-light detuning. Our results suggest that the effective model provides a good starting point to investigate the rich physics brought by counter-rotating terms in the frame of Floquet theory.

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

由使用路易斯·里森菲尔德不变的理论，我们学习了动态并且在概括时间依赖者 Λ-type 贾内斯·卡明斯的几何阶段当模特儿。我们发现与动态阶段相比，在一个周期盒子中的几何阶段独立于光子领域，在光子和原子之间的联合系数，和原子转变频率的频率。在一个周期盒子中的几何阶段能在一块更强壮的时间依赖者光子地和一个更强壮的联合光子原子系统的盒子下面被测量，这被指出。在另一方面，模型的几何阶段可以在冷原子的作文被测量。

双光子Jaynes-Cummings模型中的纠缠演化和热纠缠态现象

文中利用共生纠缠度研究了双光子Jaynes Cummings模型中原子与腔纠缠的时间演化和有限温度下系统热纠缠态。结果表明 ,腔场中原子与腔展现出周期性的纠缠演化过程 ,演化周期随原子与腔耦合强度的增大而减小 ;在有限温度下 ,系统的共生纠缠度随温度的升高而降低 ,当趋近临界温度时 ,系统纠缠现象消失 ,这一临界温度值与原子 腔耦合强度成正比。对于典型的实验数据 ,临界温度大约在～ 10 -5K数量级。

含原子运动的Jaynes-Cummings模型中的量子态保真度

研究了相干光场作用下的含原子运动的Jaynes Cummings模型中体系量子态保真度 ,讨论了不同的原子初态条件下 ,原子的运动和场模结构对体系中的量子态保真度的影响。结果表明 :在一定的条件下 ,原子运动的速度和场模结构参数可调制相互作用体系的量子态保真度。

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

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

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

当 strongboson 费米子政变石楠是珍视的无有势力 Grassmann 时，我们使用对待 modifiedJaynes-Cummings 的不变的途径建模包含 bosonic 域的 nonlinearty 的任何表格的 Lewis-Riesenfeld。为 bosonic 号码和 fermionic 号码的一般州的函数，时间进化操作符和时间进化表达式被介绍。

Partial entropy change and entanglement in the mixed state for a Jaynes-Cummings model with Kerr medium

By using the algebraic dynamical approach, an atom--field bipartite system in mixed state is employed to investigate the partial entropy change and the entanglement in a cavity filled with Kerr medium. The effects of different nonlinear intensities are studied. One can find that the Kerr nonlinearity can reduce the fluctuation amplitudes of the partial entropy changes and the entanglement of the two subsystems, and also influence their periodic evolution. Meanwhile, increasing the Kerr nonlinear strength can convert the anti-correlated behaviour of the partial entropy change to the positively correlated behaviour. Furthermore, the entanglement greatly depends on the temperature. When the temperature or the nonlinear intensity increases to a certain value, the entanglement can be suppressed greatly.