一维原子晶格中基于电磁感应透明的可调控光子带隙

利用电磁感应透明技术,在一维光晶格中相干驱动四能级N模型冷原子,实现动力学可调谐电磁感应光子带隙结构.在该原子系统中,光晶格中的原子密度呈高斯分布,使整个介质的密度在空间上呈周期性分布,导致探测场的折射率被空间调制,从而产生带隙结构.理论计算表明:基于两强耦合场的双暗态共振作用,探测场的吸收谱出现两个透明窗口;当满足Bragg条件时,探测场的三个不同频率区域内光子态密度减小,形成光子带隙结构.另外,改变两个耦合场的强度和失谐可以有效地调控光子带隙的宽度和位置.     

一维冷原子晶格中相干诱导三光子带隙

基于电磁感应透明技术,将相干耦合的Tripod型原子俘获在一维光晶格中并使其呈高斯型分布,由于介质的折射率被一维光晶格周期性调制,从而实现动态调控的三光子带隙结构.通过求解光场与原子相互作用密度矩阵方程以及光波在周期性介质中散射的传输矩阵方程,计算出探测场在相干驱动介质中的稳态反射谱和透射谱.计算结果表明:光子带隙的位置、宽度以及反射率可以通过改变两个耦合场的失谐、强度和几何布拉格失谐来调谐.     

纯消相干对量子点-微腔激射性质的影响

应用量子主方程理论研究量子点-微腔耦合系统的激射性质.分别探索了不同类型的微腔耦合系统("好的系统"、"中等系统")在外加泵浦场的作用下表现出的激射现象.分析比较了失谐大小及环境纯消相干对这两种微腔耦合系统的内部特性(光场分布、腔内光子数等)产生的影响.数值仿真表明:对于"好的系统",在失谐量不大的情况下,引入适当的纯消相干有利于提高耦合系统的激射性能;对于"中等系统",由于失谐条件下光子在腔内集聚困难,因而很难达到激射,但是通过引入适量的纯消相干可以对腔内光场分布和光子数产生剧烈调制作用.该结果对于研究单量子点激光器,以及探索光与物质相互作用等方面具有指导作用.     

原子晶格中基于自发辐射相干效应的光子带隙

利用电磁感应透明技术,在一维光晶格中相干驱动四能级Lambda模型冷原子系统,从而实现动力学可调谐电磁感应光子带隙结构。基于两邻近能级间的自发辐射相干(SGC)效应,通过控制耦合场从远共振到共振,使该原子系统实现从两个光子带隙转变为三个光子带隙的动态过程。当自发辐射相干效应不存在时,在探测场共振区域处探测光子被原子系统强烈吸收,因此感应光子带隙严重形变甚至无法形成。通过数值计算证明光子带隙结构的形成源自于自发辐射相干效应下探测场和耦合场之间的三阶交叉克尔(Kerr)非线性调制,并且通过控制耦合场的耦合方式,可以实现系统从两个光子带隙到三个光子带隙的动力学调控。     

二维电磁感应光子带隙的动态生成与调控

研究了由两个垂直传播的强驻波激光场共同耦合的一个四能级Tripod型冷⁸⁷Rb原子介质的稳态光学响应特性. 结果发现, 当两驻波场满足双光失谐条件时, 可在这两驻波场的传播方向上同时获得反射率高达95%以上的电磁感应光子带隙结构; 通过适当调节强激光场, 还可实现一个方向为光子带隙而另一个方向为透明窗口或者两个方向均为透明窗口的结构. 并且光子带隙和透明窗口的频宽和位置是可调谐的. 这种全光控制的二维的信号光禁闭和导通机制可用于实现全光开关和全光路由, 有利于复杂的全光通讯网络的开发. 关键词： 相干诱导光子带隙 电磁感应透明 周期调制原子相干     

二能级原子与高品质因子腔的自发辐射特性

用全量子理论研究二能级原子单模腔耦合系统,通过理论推导和数值计算得出系统的自发辐射光谱和平均粒子数密度.共振时腔与原子的发射光谱在强耦合与弱耦合区域有所不同,腔发射光谱分裂只出现于强耦合区域,而原子发射光谱由于腔感应透明效应在弱耦合区域出现了缺口.本文系统地研究了原子与腔在失谐时的发射光谱,在好腔机理(腔线宽小于原子线宽g)原子与腔即使在大失谐时腔发射出腔频率的光子,这给当前实验上困惑的特性提供了一个理论依据.为了给腔感应透明效应一个新的深入了解,还研究了原子与腔平均粒子数密度随时间的演化,以及平均粒子数密度与光强度之间的关系. 关键词： 自发辐射 强耦合 腔感应透明 好腔机理     

均匀等离子体光栅的色散特性研究

最近研究表明,两束交叉激光脉冲在等离子体中传播时,可以诱导生成周期等离子体密度调制(或称等离子体布拉格光栅). 分别利用传输矩阵法和耦合模理论,推导了激光斜入射时等离子体光栅的色散关系. 两种方法均表明,均匀等离子体光栅存在着光子带隙结构,并且在带隙附近有强烈的色散. 当激光斜入射时,带隙结构会呈现不同的偏振特性：S偏振光的带隙宽度随着入射角的增大而逐渐变宽,而P偏振光的带隙宽度随着入射角的增大先迅速变窄,在布儒斯特角入射时带隙消失,然后又随着入射角的增大而迅速变宽. 超宽的光子带隙和超高的激光损伤阈值,使得等离子体光栅有望成为一种新型的操纵强激光脉冲的光子器件. 关键词： 等离子体光栅 传输矩阵法 耦合模理论 光子带隙     

级联一维光子晶体全方位反射器的带宽最大化

理论研究了由级联一维光子晶体构成的光子异质结构的全方位透射(反射)特性.其中各级联光子晶体的高低折射率介质相同、光学厚度比不同.以两个光子晶体级联的结构为对象,利用传输矩阵方法系统研究了不同偏振态光在不同入射角时光子帯隙的变化,得出实现全方位光子带隙的最大展宽条件,即前一光子晶体的帯隙上限要和后一光子晶体的带隙下限在最大入射角时重合.分别给出了满足和不满足该最大展宽条件的级联结构的全方位带隙参量,通过对全方位带隙宽度的比较说明了满足最大展宽条件的级联结构具有最大的全方位带隙宽度.     

Compton散射下强激光等离子体光子晶体中光子带隙构的新模型

应用光流线量子论和多光子非线性Compton散射模型,研究了强激光等离子体光子晶体中光子带隙产生的机制,提出将入射光和Compton散射光形成的耦合光流线作为在强激光等离子体光子晶体中形成光子带隙结构的新模型,给出了耦合光流线满足的基本方程。结果表明,Compton散射使强激光等离子体光子晶体中产生了较深的折射率势阱,改变了在这个势阱中运动的耦合光能量的量子化分布几率,从而改变了光子带隙的位置和结构。     

Compton散射下强激光PPCs光子带隙构新模型

应用光流线量子理论和多光子非线性Compton散射模型,研究了强激光等离子体光子晶体中光子带隙产生的机制,提出了将入射光和Compton散射光形成的耦合光流线作为在强激光等离子体光子晶体中形成光子带隙结构的新模型,给出了耦合光流线满足的基本方程.结果表明,Compton散射使强激光等离子体光子晶体中产生了较深的折射率势阱,改变了在这个势阱中运动的耦合光能量的量子化分布几率,从而改变了光子带隙的位置和结构.     

与热库耦合的光学腔内三原子间的纠缠动力学

研究了与热库耦合的光学腔中三个相互作用的二能级原子间的纠缠动力学.采用拉普拉斯变换和下限共生等方法,通过数值计算,分析了原子间三体纠缠的演化以及腔场与热库间的两体纠缠演化,讨论了各耦合参数对系统纠缠演化的影响.研究结果表明:原子间纠缠在短时间内随着原子间耦合强度的增加而增加,随原子与腔场耦合强度的增加而减小,在长时极限下趋于一稳定值;体系的非马尔科夫性由原子与腔场的耦合强度以及热库的谱宽度共同决定,当热库与腔场为强耦合时,原子与腔场组成的系统遵循非马尔科夫动力学,此时随着热库谱宽的增加,原子系统由非马尔科夫性变为马尔科夫性,随着谱宽的继续增加,原子与腔场组成的系统遵循马尔科夫动力学,原子系统又表现出非马尔科夫性;调整腔场与热库的失谐可以有效抑制热库耗散对纠缠衰减的影响.     

Quantum kinetics and thermalization in a particle bath model

We study the dynamics of relaxation and thermalization in an exactly solvable model of a particle interacting with a harmonic oscillator bath. Our goal is to understand the effects of non-Markovian processes on the relaxational dynamics and to compare the exact evolution of the distribution function with approximate Markovian and non-Markovian quantum kinetics. There are two different cases that are studied in detail: (i) a quasiparticle (resonance) when the renormalized frequency of the particle is above the frequency threshold of the bath and (ii) a stable renormalized "particle" state below this threshold. The time evolution of the occupation number for the particle is evaluated exactly using different approaches that yield to complementary insights. The exact solution allows us to investigate the concept of the formation time of a quasiparticle and to study the difference between the relaxation of the distribution of bare particles and that of quasiparticles. For the case of quasiparticles, the exact occupation number asymptotically tends to a statistical equilibrium distribution that differs from a simple Bose-Einstein form as a result of off-shell processes whereas in the stable particle case, the distribution of particles does not thermalize with the bath. We derive a non-Markovian quantum kinetic equation which resums the perturbative series and includes off-shell effects. A Markovian approximation that includes off-shell contributions and the usual Boltzmann equation (energy conserving) are obtained from the quantum kinetic equation in the limit of wide separation of time scales upon different coarse-graining assumptions. The relaxational dynamics predicted by the non-Markovian, Markovian, and Boltzmann approximations are compared to the exact result. The Boltzmann approach is seen to fail in the case of wide resonances and when threshold and renormalization effects are important.     

Non-Markovian master equation for a system of Fermions interacting with an electromagnetic field

For a system of charged Fermions interacting with an electromagnetic field, we derive a non-Markovian master equation in the second-order approximation of the weak dissipative coupling. A complex dissipative environment including Fermions, Bosons and the free electromagnetic field is taken into account. Besides the well-known Markovian term of Lindblad’s form, that describes the decay of the system by correlated transitions of the system and environment particles, this equation includes new Markovian and non-Markovian terms proceeding from the fluctuations of the self-consistent field of the environment. These terms describe fluctuations of the energy levels, transitions among these levels stimulated by the fluctuations of the self-consistent field of the environment, and the influence of the time-evolution of the environment on the system dynamics. We derive a complementary master equation describing the environment dynamics correlated with the dynamics of the system. As an application, we obtain non-Markovian Maxwell-Bloch equations and calculate the absorption spectrum of a field propagation mode transversing an array of two-level quantum dots.     

Non-Markovian and Markovian Dynamics of a V-type Three-Level Atom

The reduced dynamics of a V-type three-level atom in a structure reservoir is presented,which has the exact solution in certain special condition.The Markovian and non-Markovian master equations for this composite system are solved and compared with the exact solution.The solving approach can be directly generalized to the solution of a V-type multilevel system dynamics interacting with a reservoir.The results further testify that these two kinds of master equations are exploited in different coupling regime,providing guidance for further application of these variants master equations to solve multilevel system dynamics without the exact solution.     

On the derivation of quantum kinetic equations. II. Nonlocal Uehling-Uhlenbeck equation

The binary and triple collision terms of the quantum kinetic equation derived previously are analyzed in the weak coupling approximation. In this approximation the equation appears to be a nonlocal Markovian extension of the kinetic equation due to Uehling and Uhlenbeck. After linearization, its relationship with non-Markovian formulations found in the literature is studied.This investigation is part of the research program of the Stichting voor Fundamenteel Onderzoek der Materie (FOM), which is financially supported by the Nederlandse Organisatie voor Zuiver Wetenschappelijk Onderzoek (ZWO).     

Quantum bit commitment is weaker than quantum bit seals

We investigate the reduced dynamics of a central spin coupled to a spin environment with non-uniform coupling. Through using the method of time-dependent density-matrix renormalization group (t-DMRG), we nonperturbatively show the dissipative dynamics of the central spin beyond the case of uniform coupling between the central spin and the environment spins. It is shown that only when the system-environment coupling is weak enough, the central spin system shows Markovian effect and will finally reach the steady state; otherwise, the reduced dynamics is non-Markovian and exhibits a quasi-periodic oscillation. The frequency spectrum and the correlation between the central spin system and the environment are also studied to elucidate the dissipative dynamics of the central spin system for different coupling strengths.     

Master equation for structured reservoirs

In this work we derive a master equation to describe the interaction of emitters with structured reservoirs. The equation is applicable when the ‘freezing’ of atomic population decay and the existence of an atom-photon bound state are possible. Furthermore, the equation may be used for arbitrarily strong excitations of the reservoir. We show that for a wide range of reservoir spectral densities, this master equation can be reduced to the Markovian form. Applications to spontaneous emission and resonance fluorescence near the band edge are considered. We demonstrate that the stationary state is strongly dependent on the initial state of the decaying atom-field system. For resonance fluorescence, we confirm the prediction of positive stationary atomic inversion.     

The population and decay evolution of a qubit under the time-convolutionless master equation

We consider the population and decay of a qubit under the electromagnetic environment. Employing the time-convolutionless master equation, we investigate the Markovian and non-Markovian behaviour of the corresponding perturbation expansion. The Jaynes-Cummings model on resonance is investigated. Some figures clearly show the different evolution behaviours. The reasons are interpreted in the paper.     

Entanglement Dynamics of Two Coupled Spins in a Spin Star Environment

We theoretically study the entanglement dynamics of two coupled spins in a spin star environment, whose elements are coupled to local bosonic baths. It is shown that the dynamics of the entanglement depends on the initial state of the system and the coupling strength between the two coupled central spins, the interactions between the central system and the environment, as well as interactions between the bath spin and the reservoir. We also investigate the effect of non-Markovian dynamics in contrast with the Markovian case. It is found that the non-Markovian dynamics has a significant effect on the disentanglement between the two central spins.     

Non-Markovian dynamics of a qubit in a reservoir: different solutions of non-Markovian master equation

We present a non-Markovian master equation for a qubit interacting with a general reservoir, which is derived according to the Nakajima-Zwanzig and the time convolutionless projection operator technique. The non-Markovian solutions and Markovian solution of dynamical decay of a qubit are compared. The results indicate the validity of non-Markovian approach in different coupling regimes and also show that the Markovian master equation may not precisely describe the dynamics of an open quantum system in some situation. The non-Markovian solutions may be effective for many qubits independently interacting with the heated reservoirs.