Effect of cavity dissipation on the emission spectrum of an atom interacting with a field in the dispersive approximation

The emission spectrum of a two-level atom interacting dispersively with a single mode radiation field in the dissipative cavity is investigated. A general expression for the emission spectrum is derived. The numerical results for the initial field in coherent state are calculated. It is found that the spectrum structure is influenced significantly by the cavity damping constant \kappa , and the spectrum structure is dependent on the interaction time T when the cavity dissipation is present. Only one peak located at Ω_a appears in the atomic spectra for larger T.     

Enhanced cooling of a V-type three-level atom in an optical cavity

We have studied theoretically and numerically the enhanced cooling of a V-type three-level atom in a high-finesse optical cavity and shown that the cooling rate can be increased by one order of magnitude over that of a two-level atom, and the momentum amplitude tends to a stationary state much smaller than that of a two-level atom. We have further shown that the cooling rate can be significantly improved by using feedback and a time-dependent pump.     

两模微腔中四能级原子粒子布居数随时间的演化

在相互作用绘景中利用微扰法求解了两模微腔的腔模与注入其内的四能级原子^40Ca构成的相互作用系统的态函数随时间的演化关系,在此基础上导出了原子的约化密度算符及其粒子布居数随时间的演化关系,由此可进一步研究四能级原子在腔场中的动力学行为。     

双模腔场中-型三能级原子的辐射谱

采用时间演化算符方法,研究-型三能级原子与双模腔场共振相互作用的辐射谱,尤其在真空场中拉比（Rabi）分裂.给出了辐射谱一般公式。并讨论在粒子数纯态光场激励下的辐射频谱结构。结果表明：一般辐射谱呈对称的12蜂结构.     

均匀磁场中氢原子低能级简并度的解除

讨论了均匀强磁场中氢原子哈密顿量中B^2项的影响，指出在忽略自旋－轨道相互作用的情况下，该项可使氢原子低能级简并度完全解除。     

受限氢原子光谱高能区的共振增强

通过求解含时薛定谔方程,得到了受限氢原子的光谱结构,发现了明显的共振增强现象,但是在不同的能区限制势对谱线的影响并不一样;此外,还计算了受限氢原子高激发态的抗磁谱受限制势影响而出现的增强现象.     

Decay properties of a two-level atom in a non-resonant damped cavity

The upper state population evolution and the spontaneous emission spectrum of a two-level atom in a non-resonant damped cavity are investigated by using the resolvent operator. The analytic expressions of the spectrum and the upper state population with strong and intermediate coupling are obtained. The influence of coupling intensity and detuning on atomic spectrum is discussed. We find that the detuning affects strongly the shape of spectra.     

Mechanical effects of light on the Ξ-type three-level atom in a high-finesse optical cavity

A theoretical study is carried out for the modification and implication of the effect on the Ξ-type three level atom in a high-finesse optical cavity driven by light field including spontaneous emission and the cavity decay. Analytic expressions for the dipole force, the friction force, the optical potentials and the friction coefficient are obtained. Then the numerical and graphical methods are used to investigate the friction coefficient with the controlling parameters. It is shown that the friction coefficient is strongly dependent on the controlling parameters. The cooling rate can increase by one order of magnitude more than that of a two-level atomic system. The reason can be given using the dressed states and the Sisyphus cooling mechanism, which would stimulate further experimental investigations.     

氢原子中电子概率密度的可视化研究

针对量子物理中氢原子电子概率密度抽象、不易理解的特点,本文给出了氢原子中电子概率密度分布函数,包括径向分布和角向分布函数.利用Matlab强大的绘图功能对其分布规律进行可视化研究.结果表明,该方法直观形象地揭示了氢原子中电子概率分布情况,为物理教学提供了新手段.     

耦合腔阵列与Λ-型三能级原子非局域耦合系统中单光子的传输特性研究

讨论了理想和非理想情况下耦合腔阵列中两个最邻近的腔与Λ-型三能级原子非局域耦合系统中单光子的传输特性.运用准玻色子方法,精确地解出了开放系统中单光子的透射率.Λ-型三能级原子与耦合腔阵列非局域耦合系统具有更多的优点,如:该系统比其他系统调控光子传输特性的可调控参数更多;单光子在该系统中传输的透射谱有三个透射峰.此外,该系统还具有自身的特点,当拉比频率?取值给定之后,改变原子与其中一个腔的耦合强度时,光子的透射谱有一个透射率始终为1的定点,该点对应的光子频率为ω_c-?.在非理想情况下,系统耗散对光子的透射谱有着很大的影响.当只考虑原子耗散时,耗散使得光子透射谱的谷值增大,而峰值不变;当只考虑腔场耗散时,光子透射谱的峰值减小,而谷值不变.另外,随着腔场耗散率和腔的个数的增多,光子透射谱的峰值逐渐减小,但谷值始终不变.对比原子耗散和腔场耗散的情况可以发现,原子耗散使得光子不能被完全反射,而腔场耗散使得光子不能被完全透射.当同时考虑原子和腔场耗散时,光子透射谱谷值的大小不但会受原子耗散率大小的影响,也受腔场耗散率大小的影响,随着腔场耗散率的增大,谷值反而减小;而光子透射谱的峰值始终只受腔场耗散率大小和腔的个数的影响,与原子耗散率取值的大小无关.     

Modification of spontaneous emission from a five-level M-type atom in coupled cavity waveguide

We study the spontaneous emission spectrum of a five-level M-type atom driven by a microwave field, in which two upper levels are coupled by the same-coupled cavity waveguide reservoir to a lower level. The spectrum behavior presents a strong non-Lorentzian shape that originates from effective quantum interference in Markovian reservoir, in which the spectral line can be significantly enhanced and eliminated by adjusting the proper parameters of the system. However, for non-Markovian reservoir, it seems that the shape of emission spectrum is quite dependent on the geometry behavior of a coupled cavity waveguide.     

氢原子电子云密度分布分析

通过数值计算形象地分析了氢原子中电子概率密度的分布情况,对此做了一些有别于传统认识的讨论,并由此引出了对粒子运动和波函数概率解释的认识。     

解除氢原子能级(n=3)的简并

讨论氢原子能级在两个正交线性非均匀电场中的分裂。     

正交非均匀电场中氢原子的高激发态

用数学软件Mathematica研究正交非均匀电场中氢原子两个高激发态(n=4和5)的能级和波函数.讨论能级分裂,并绘制零级近似下氢原子的电子概率角分布图.     

二维氢原子中的基态奇异特性数值精确对角化法

利用数值有限差分法处理二维氢原子的基态波函数时,计算结果发现其存在着数值奇异特性.本文通过构造一套具有正交完备性的离散贝塞尔基函数,并结合基于Lanczos技术的数值精确对角化方法研究二维氢原子中的基态波函数的数值奇异特性,得到的波函数数值解及其相应的本征能量均与解析结果相一致.这套新的完备的离散贝塞尔基函数,可以在研究一些波函数具有数值奇异特性的体系中发挥至关重要的作用.     

Single photon transport properties in coupled cavity arrays nonlocally coupled to a two-level atom in the presence of dissipation

We discuss the effects of dissipation on the behavior of single photon transport in a system of coupled cavity arrays,with the two nearest cavities nonlocally coupled to a two-level atom.The single photon transmission amplitude is solved exactly by employing the quasi-boson picture.We investigate two different situations of local and nonlocal couplings,respectively.Comparing the dissipative case with the nondissipative one reveals that the dissipation of the system increases the middle dip and lowers the peak of the single photon transmission amplitudes,broadening the line width of the transport spectrum.It should be noted that the influence of the cavity dissipation to the single photon transport spectrum is asymmetric.By comparing the nonlocal coupling with the local one,one can find that the enhancement of the middle dip of single photon transmission amplitudes is mostly caused by the atom dissipation and that the reduced peak is mainly caused by the cavity dissipation,no matter whether it is a nonlocal or local coupling case.Whereas in the nonlocal coupling case,when the coupling strength gets stronger,the cavity dissipation has a greater effect on the single photon transport spectrum and the atom dissipation affection becomes weak,so it can be ignored.     

Chaos in the hydrogen atom interacting with external fields

In this review we discuss the chaotic dynamics (both classical and quantal aspects) of a simple atomic system, namely hydrogen atom interacting with time independent and time dependent external fields. These include: i) static electric field, ii) static magnetic field, iii) combined electric and magnetic fields, in parallel and perpendicular configuration, iv) instantaneous and generalized van der Waals field, v) mass anisotropy and vi) linearly and circularly polarized microwave fields.     

同向电磁场中氢原子低能级简并的解除

利用同向电磁场的作用使氢原子低能级简并完全解除.