无旋转波近似下单个超冷离子与一束驻波型激光相互作用的动力学

在相互作用表象中,研究了Lamb-Dicke区内单个超冷囚禁离子与一束驻 波型激光相互作用的动力学行为。由于没有引入旋转波近似,离子的运动随着Lamb-Dicke 参数η和Rabi频率Ω的增大趋向于混沌。所得结果与旋转波近似下的结果作了比较 。     

Optical bistability without the rotating wave approximation

Optical bistability for two-level atomic system in a ring cavity is investigated outside the rotating wave approximation (RWA) using non-autonomous Maxwell-Bloch equations with Fourier decomposition up to first harmonic. The first harmonic output field component exhibits reversed or closed loop bistability simultaneously with the usual (anti-clockwise) bistability in the fundamental field component.     

Entanglement of two atoms interacting with a dissipative coherent cavity field without rotating wave approximation

Considering two identical two-level atoms interacting with a single-model dissipative coherent cavity field without rotating wave approximation,we explore the entanglement dynamics of the two atoms prepared in different states using concurrence.Interestingly,our results show that the entanglement between the two atoms that initially disentangled will come up to a large constant rapidly,and then keeps steady in the following time or always has its maximum when prepared in some special Bell states.The model considered in this study is a good candidate for quantum information processing especially for quantum computation as steady high-degree atomic entanglement resource obtained in dissipative cavity.     

Distribution of non-Markovian intervals for open qubit systems

We study the non-Markovianity of open qubit systems using the measure N proposed by Breuer, Laine and Piilo [Phys. Rev. Lett. 103 210401 (2009)]. We find that for the three types of quantum noises, amplitude-damping, dephasing and depolarizing noises, there exist some non-Markovian time intervals whose distribution is independent of the selection of the pair of initial states. Therefore, the maximization in the definition of measure N can be actually removed without influencing the detection of non-Markovianity.     

Dynamical learning of non-Markovian quantum dynamics

We study the non-Markovian dynamics of an open quantum system with machine learning.The observable physical quantities and their evolutions are generated by using the neural network.After the pre-training is completed,we fix the weights in the subsequent processes thus do not need the further gradient feedback.We find that the dynamical properties of physical quantities obtained by the dynamical learning are better than those obtained by the learning of Hamiltonian and time evolution operator.The dynamical learning can be applied to other quantum many-body systems,non-equilibrium statistics and random processes.     

非旋波近似下压缩真空场与三能级原子依赖强度耦合系统的光场压缩

利用全量子理论,研究了非旋波近似下压缩真空场与V型三能级原子依赖强度耦合相互作用系统中光场的压缩效应.数值计算结果表明:光场呈现出周期性压缩现象,而虚光子过程则对光场的压缩具有抑制作用并产生量子噪声,量子噪声大小依赖于光场的初始压缩因子r和光场频率ω,且与原子-光场耦合强度g有关.随着r的增大,虚光子过程对光场压缩抑制作用程度由弱到强再由强到弱;随着ω和g的增大,量子噪声分别减小和增大.     

Sideband structure spontaneous spectrum without the rotating wave approximation

The effects of the non-rotating wave approximation (non-RWA) on the spontaneous emission of a V-type three-level atom are studied, where the excited states are coupled to a common ground state by a weak laser field and the upper-level doublet is driven by a strong microwave field. When the non-RWA is applied to the interaction of the atom with the microwave field, for some values of the parameters involved, the spontaneous emission spectrum is comprised of a central peak and a series of sidebands with a constant spacing of the microwave frequency, and the central peak and/or sidebands can be split into two components. The physical interpretation of the spectral characteristics is given in light of the dressed states.     

一种研究非旋波近似演化问题的系统近似方法

以一个与玻色场耦合的二能级粒子为例，证实了在静态极化子问题的研究中取得成功的相干态近似方法，同样也能够有效地用于非旋波近似下量子系统的时间演化问题。结果同时表明，在一般情况下，哈密顿算符中的非旋波项不能被忽略；并提供了在频率空间进一步检测非旋波项效应的可能性。     

准光激励毫米波圆波导旋转TE6 2模式产生器

介绍了采用准光方法激励圆波导产生旋转TE6 2模式的设计原理、测试方法和实验结果。该模式产生器由毫米波光学系统和开放同轴波导谐振腔系统组成:毫米波光学系统由角锥喇叭天线、双曲面反射镜、抛物面反射镜、修正抛物面反射镜等部件组成;开放同轴波导谐振腔系统由开放同轴波导谐振腔、圆波导、测试辐射喇叭天线组成。通过网络分析仪和毫米波近场自动测试系统测试表明:该模式产生器在频率为96.4 GHz附近产生的圆波导旋转TE6 2模式的纯度达到97%。     

Non-Markovianity and Indivisible Quantum dynamics of a Apin-S System

Using a measure for the divisibility of a dynamical map,we study the non-Markovian character of a quantum evolution of a spin-S system,which is in an external field and weakly coupled to a bosonic bath with a certain temperature.The finite-temperature dynamics of the open system is obtained by the time-convolutionless master equation in the secular approximation.Besides the influence of the environmental spectral density function,the external field and low temperatures can afect the quantum non-Markovianity.It is found out that the non-Markovian feature of a dynamical map of a high-dimensional spin system is noticeable in contrast to that of a low-dimension spin system.     

Non-Markovianity and Indivisible Quantum dynamics of a Apin-S System

Using a measure for the divisibility of a dynamical map, we study the non-Markovian character of a quantum evolution of a spin-S system, which is in an external field and weakly coupled to a bosonic bath with a certain temperature. The finite-temperature dynamics of the open system is obtained by the time-convolutionless master equation in the secular approximation. Besides the influence of the environmental spectral density function, the external field and low temperatures can affect the quantum non-Markovianity. It is found out that the non-Markovian feature of a dynamical map of a high-dimensional spin system is noticeable in contrast to that of a low-dimension spin system.     

关于转动弦的波动方程

数学物理方法的一些学习指导书或教科书上给出了两种转动弦的波动方程,但没有考虑Coriolis力的影响,其讨论方法存在不正确(竖直转动重弦)或不全面(水平转动轻弦)之处.重新讨论了两种转动弦的波动方程及其求解问题.     

Rotating wave approximation and entropy

This Letter studies composite quantum systems, like atom-cavity systems and coupled optical resonators, in the absence of external driving by resorting to methods from quantum field theory. Going beyond the rotating wave approximation, it is shown that the usually neglected counter-rotating part of the Hamiltonian relates to the entropy operator and generates an irreversible time evolution. The vacuum state of the system is shown to evolve into a generalized coherent state exhibiting entanglement of the modes in which the counter-rotating terms are expressed. Possible consequences at observational level in quantum optics experiments are currently under study.     

准光激励毫米波圆波导旋转TE6 2模式产生器

 介绍了采用准光方法激励圆波导产生旋转TE_{6 2}模式的设计原理、测试方法和实验结果。该模式产生器由毫米波光学系统和开放同轴波导谐振腔系统组成:毫米波光学系统由角锥喇叭天线、双曲面反射镜、抛物面反射镜、修正抛物面反射镜等部件组成;开放同轴波导谐振腔系统由开放同轴波导谐振腔、圆波导、测试辐射喇叭天线组成。通过网络分析仪和毫米波近场自动测试系统测试表明:该模式产生器在频率为96.4 GHz附近产生的圆波导旋转TE_{6 2}模式的纯度达到97%。     

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     

Mean field theory for the quantum Rabi model,inconsistency to the rotating wave approximation

Time evolution of pertinent operators in the Rabi Hamiltonian and its rotating wave approximation (RWA) version, the Jaynes-Cummings model (JCM), in the Heisenberg picture, gives systems of nonlinear differential equations (NDEs). Considering well localized atom, the mean field theory (MFT) was applied to replace the operators by equivalent expectation values. The Rabi model was reduced to a fourth orders NDE describing atoms position. Solution by the harmonic balance method (HBM) showed good accuracy and consistency to the numerical results, which introduces it as a useful tool in the quantum dynamics studies. The NDEs describing the JCM in the Heisenberg picture structurally prevent applying the MFT and shows inconsistency to the Ehrenfest's theorem, contrary to the Rabi model.     

非马尔科夫耗散系统长时演化下的极限环振荡现象

本文研究结构化环境中非马尔科夫耗散系统在长时演化下可能出现的极限环振荡现象. 对于欧姆型谱密度环境中的二能级系统, 由于体系只允许一个束缚态模, 给定初态系统在Bloch空间的长时演化将收敛于一个极限环. 研究揭示了极限环半径与环心位置同环境谱密度函数间的关系. 对于多带光子晶体环境中的二能级系统, 由于其可以存在多个束缚态, 研究展现了系统在长时演化下可能出现的收敛于环面或周期或准周期的振荡行为. 有关环面的特征量与环境谱密度间的量化关系同样得以刻画. 论文随后讨论了两比特系统关联量在局域非马尔科夫耗散环境中长时演化可能出现的特征行为.     

Analytical Solutions of a Trapped Ultracold Ion Experiencing a Travelling Wave Laser without Rotating Wave Approximation

In coherent state representation and in the absence of rotating wave approximation,the analytical forms of the eigenenergies and eigenfunctions of a trapped ultracold ion interactingwith a travelling wave laser are presented for some particular detunings. The differencebetween the standing wave laser and the travelling one radiating a trapped ultracold ion isalso pointed out.