Emission Spectrum Property of Modulated Atom-Field Coupling System

The emission spectrum of a two-level atom interacting with a single mode radiation field in the case of periodic oscillation coupling coefficient is investigated. A general expression for the emission spectrum is derived. The numerical results for the initial field in pure number stare are calculated. It is found that the effect of the coupling coefficient modulation on the spectral structure is very obvious in the case of a low modulation frequency and larger amplitude when the initial field is vacuum, which is potentially useful for exploring a modulated light source.     

Vertex correction effects on nonlinear optical response

The effects of vertex corrections due to frequency modulation are exactly evaluated on the emission spectra from the two-level electronic system pumped by the laser of arbitrary intensity and the absorption spectra of the weak probe field of this system. Here the frequency modulation is assumed to obey the Gaussian-Markoffian process. The two-time correlation function of the polarizations which describe the emission and absorption spectra is represented as the product of two propagators and a vertex correction. This correction is described in the form of the summation of the products of the matrix continued fractions. This correction is numerically demonstrated to be quite large for the emission spectrum in the case of the slow or strong frequency modulation and weak laser field, and for the absorption spectrum in the case of intermediate modulation and laser intensity.     

依赖强度耦合的Λ型三能级Jaynes-Cummings模型的原子发射谱及腔场谱

在假设原子初始处于激发态并计入原子-场耦合强度依赖性的条件下,用本征函数法研究了Λ型三能级原子与单模腔场共振相互作用系统的原子发射谱和腔场谱。结果表明,基态能级裂距对谱结构有重要影响。发射谱和腔场谱的谱线随初场增强不发生合并现象,腔场谱对初场光子统计性质不敏感。     

光场及原子-光场耦合的非线性对腔内原子辐射谱的影响

研究了包括任意的光场非线性和原子光场非线性依赖强度耦合J-C(Jaynes-Cummings)模型中单原子的辐射谱,分析了上述非线性对辐射谱的影响.结果表明,原子的辐射谱强烈地依赖于光场的非线性项R(a⁺a)及原子光场非线性耦合因子f(a⁺a)的形式,其谱结构与标准J-C模型中原子的辐射谱明显不同.当腔内充满的非线性介质使得f(a⁺a)=1/(a⁺a)^1/2时,对于任意的初始光场态,辐射谱总是显示 关键词： 辐射谱 非线性耦合     

变耦合系数的简并拉曼耦合J-C模型中场熵的演化

研究了考虑耦合系数随时间线形变化的简并拉曼耦合J-C模型中场熵随时间演化特性,分析了耦合系数变化的快慢和不同的初始光场对场熵的影响。结果表明:(1)无论光场初始态如何,场熵均呈周期性演化,平均光子数n-的增加并不改变场熵演化周期的大小;(2)初始光场统计性质的不同对最大场熵值和最大场熵值变化的幅度产生较大的影响;(3)线形调制使场熵呈现的完美周期性振荡遭到破坏。当原子-场耦合系数变化缓慢时,原子进入统计混合态的速度被减缓;而当原子-场耦合系数变化较快时,则不仅使场熵演化曲线的振荡周期逐渐减小、振荡频率越来越快,而且使原子与场退纠缠的时刻增多。     

Propagation of a spatial soliton in a system of tunneling-coupled optical waveguides with a variable coupling coefficient

The problem of the propagation of a spatial soliton in a system of tunneling-coupled optical waveguides is studied. The tunneling coupling coefficient is assumed to be modulated in a transverse direction. The adiabatic dynamics is studied for the case of periodic modulation of the tunneling coupling coefficient. The stationary points for the beam parameters are found. The effective potential is calculated for the center of the beam in the equivalent-particle model. The condition for resonance emission of waves by a soliton is obtained. Zh. Tekh. Fiz. 68, 1–4 (June 1998)     

Enhancement of the diffraction efficiency of the hologram recorded in photorefractive media under the action of external electric field

Diffraction efficiency as a function of the applied electric field for the non-linear regime has been calculated by solving numerically the beam coupling equations. The refractive index variation used in the beam coupling equations was calculated directly from the material rate equations via the total space charge field. The diffraction efficiency of the holograms recorded in photorefractive media is not only a function of the applied external electric field but also a function of crystal thickness, diffusion field, reduced fringe contrast modulation ratio and absorption coefficient of the materials. The effects of these parameters on the efficiency of the holograms have been studied in details. In the absence of the external applied field, it is found that the diffraction efficiency of the holograms could be maximized for a thinner photorefractive crystal having lower absorption coefficient and higher value of diffusion field, which could exist at a much lower value of reduced fringe contrast modulation ratio of the index grating. More efficient holograms can be recorded in the presence of the externally applied electric field as compared to the case of no external field.     

Stark效应对J-C模型腔场谱的影响

研究了计及Stark效应的J-C模型的腔场谱,通过求解本征方程导出了腔场谱的计算公式,给出了腔场处于光子数态时的数值结果,讨论了Stark效应和初始场强对标准J-C模型腔场谱的影响.发现在初始场为真空场时,两个Rabi峰的高度相等,随着Stark位移参数的增大,两峰都向低频方向移动,且频差逐渐增大;在初始场较强的情况下,Stark移动参数增大时会导致双峰的对称性消失,通过测量两峰的相对高度也可确定Stark位移参数的大小;在Stark效应较强初始场递增的情况下两峰仍向左移,但峰间距越来越小;在弱场情况下,Stark效应使两峰呈现左高右低或左低右高的峰结构.总之,改变Stark位移参数β1、β2的大小以及初始场强的强弱,可得到不同的谱线结构.     

Population Dynamics and Emission Spectrum of a Cascade Three-Level Jaynes-Cummings Model with Intensity-Dependent Coupling in a Kerr-like Medium

By using the method of eigenvectors, the atomic populations and emission spectrum are investigated in a system that consists of a cascade three-level atom resonantly interacting with a single-mode field in a Kerr-like medium.The atom and the field are assumed to be initially in the upper atomic state and the Fock state, respectively. Results for models with intensity-dependent coupling and with intensity-independent coupling are compared. It is found that both population dynamics and emission spectrum show no indications of atom-field decoupling in the strong field limit if the intensity-dependent coupling is taken into account.     

等同双原子Jaynes-Cummings模型的量子特性及系统光谱

在全量子理论的背景下提出两个二能级原子分别与一单模腔场相互作用的系统模型,利用量子主方程和数值模拟计算等方法,研究该体系中腔场平均光子数、Mandel's Q因子及二阶量子相关度在非稳态时的变化规律。此外,对体系中原子及腔场中光谱结构进行了分析。结果表明:减小腔场耗散系数,增大原子间耦合系数,体系量子特性愈加明显。体系光谱呈现出Mollow三重峰结构,且原子辐射谱强度远大于腔场辐射谱强度。当原子跃迁频率与腔场跃迁频率为近共振时,Mollow峰值为三峰中最大值。此外,增大原子与腔场间耦合系数,可增大原子光谱的中峰强度;而增大腔场光谱的中峰强度,则需减小原子与腔场间耦合系数。     

Emission spectrum of a qubit in Rabi model in strong coupling regime

The analytical eigenenergies and eigenstates of the Rabi model are obtained approximately based on a unitary transformation and a generalized rotating-wave approximation (GRWA). Using these analytical expressions without the rotating wave approximation (RWA), we generalize the definition of the physical emission spectrum valid with the RWA in order to meet without the RWA with some modifications. Taking into account the counter-rotating wave terms and the intercrossing of energy level in the strong coupling regime, the physical emission spectrum of qubit is investigated. Different from the case with RWA, the multi-peak vacuum Rabi splitting, even when the qubit initially in its ground state and the bosonic field initially in vacuum, can emerge. These new features of physical emission spectrum originate from the effect of counter-rotating wave terms. Moreover, the intercrossing of energy level can also be observed in the strong coupling regime.     

两模腔场谱间的量子干涉

研究了高Q腔中单个二能级原子与两模二项式光场依赖强度耦合相互作用系统的腔场谱,给出了弱初始场条件下的数值结果,讨论了两模光场之间的量子干涉对腔场谱结构的影响. 发现当两模光场的频率差Δ>g（g为原子与腔场间的耦合常数）时,两模光场间的干涉效应对谱结构没有影响,系统的腔肠谱只是两模腔肠谱的简单叠加;当Δ≤g时两模腔场谱间的干涉比较明显. 在强初始场条件下,量子干涉效应可忽略. 关键词： 腔场谱 量子干涉 两模二项式光场     

Coupling modulation in photorefractive materials by applying AC electric fields

In general, the application of an electric field to a photorefractive material with optical activity results in a change in the effective electro-optic coefficient, r_eff, which, in turn, alters the coupling between the two beams in a two-wave mixing experiment. When an alternating field is applied, this results in a modulation of both the phase and the coupling of the beams. Equations that have been developed to describe the change in the electro-optic coefficient as function of an applied dc field across an optically active crystal, have been used to demonstrate coupling modulation effects in BSO whilst applying large sinusoidal fields. Methods of overcoming these modulation effects are included.     

The physical transient spectrum for a V-type three-level atom interacting with a binomial field via multi-photon process and nonlinearities

We study the interaction of a multi-photon three-level atom with a single mode field in a cavity, taking explicitly into account the existence of forms of nonlinearities of both the field and the intensitydependent atom-field coupling. The analytical form of the emission spectrum is calculated using the dressed states of the system. The effects of photon multiplicities, mean photon number, detuning, Kerr-like medium, and the intensity-dependent coupling functional on the emission spectrum are analyzed.     

Probe Response of an Optomechanical System with Optomechanical Coupling Modulated Periodically

In this study, the probe response of a cavity optomechanical system with periodic modulation of the optomechanical coupling is investigated. The modulation arises from the beat effect between two external coherent driving lights, with the beat frequency matching the modulation frequency. The transmission coefficient is derived for the probe field and significant amplification, rather than absorption in the conventional optomechanically induced transparency schemes, is observed near the transparent point when the modulation is introduced. In addition, the coupling modulation can also enhance the slow light effect.     

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。     

Kerr效应对非线性J-C模型辐射谱的影响

研究了Kerr介质腔中非线性J-C模型的辐射谱.导出了双模初始光场处于任意量子态时辐射谱的计算公式,给出了光场处于数态、相干态和压缩真空态时的数值结果,讨论了Kerr效应和初始场强对辐射谱的影响.发现在光子数态的情况下,Kerr效应使低频峰增强、高频峰减弱,并使各峰向右移动.在初始腔场为较强的相干态时,原子辐射谱明显地分成两个拱形的梳状峰群,Kerr效应的增强使左侧峰群增高,右侧的边峰受到抑制.在压缩真空态情况下,边带峰只出现在中心频率双峰的左侧,随Kerr效应和初始场的增强,边峰个数也随之增多.无论哪种情况都破坏谱结构的对称性,在强场条件下Kerr效应的影响更加显著.     

Enission spectra Of aΞ-type three-1evel atom in a Kerr medium

We investigate the emission spectra of a Ξ-type three-level atom interacting with a single-mode optical field in an ideal cavity filled with a Kerr medium and discuss the structure of emission spectrum when the optical field is initially in a pure number state and a coherent state, respectively. It is shown that the structure of emission spectrum depends not only on the photon number distribution, but also on the strength of incident field and the coupling of Kerr medium to the field.     

克尔介质中双原子与场拉曼作用系统的腔场谱

研究了含克尔介质腔中两个耦合二能级原子与双模光场拉曼相互作用过程的腔场谱。通过求解本征方程导出了腔场谱的计算公式,给出了双模初始光场均处于数态时的数值计算结果。发现在两模初始场均为弱场时,克尔效应不仅使峰位右移,还使峰的强度、个数和频率发生改变,破坏峰结构的对称性。在克尔效应较强时,原子之间的耦合对腔场的影响被抑制,谱结构主要由克尔效应决定。在强场条件下,无克尔介质加入时,原子间的耦合作用使各峰的强度都得到加强;随克尔效应的增强,靠近中心频率的主峰迅速增长并很快达到饱和,而远离中心频率的边峰则被抑制并产生劈裂。     

相对论速调管振荡器中两个调制腔耦合系数的计算

 用场方法研究了相对论速调管振荡器中两个调制腔的耦合，解析地得到了两腔耦合系数与腔和波导的尺寸、间隙及两腔之间的距离等参数之间的关系。耦合系数的数值与由耦合与否腔的频率测量确定的实验结果在数量级上符合得较好。