存在内禀退相干时二项式光场中原子的布居数反转

在Milburn内禀退相干模型下,研究了二项式光场与二能级原子相互作用系统中原子的布居数反转,分析了内禀退相干,二项式光场系数和场的最大光子数对原子布居数反转的影响.结果表明,存在内禀退相干时,原子布居数反转出现明显的崩塌-回复现象,随着时间的演化,Rabi振荡的包络值将很快的崩塌到零,并且随着内禀退相干因子的减小,衰减加剧;当内禀退相干因子不变时,二项式光场从相干态过渡到中间态,以及由中间态到数态过程中,原子布居数反转出现明显的崩塌-回复现象,而且Rabi振荡的频率会明显加快;当二项式光场的最大光子数增大时,原子布居差的崩塌-回复现象就会逐渐消失.     

场频率变化时原子与场的相互作用

讨论了场频率随时间变化时二能级原子与相干态光场的相互作用. 分析了两种典型的情况，即场频率随时间作正弦变化以及作脉冲变化的情况. 研究发现：当场频率随时间作正弦变化时，原子布居数反转的崩塌和回复现象将消失；当场频率随时间作脉冲变化时,布居数反转随时间的演化将诱发出新的崩塌和回复过程. 关键词： Jaynes-Cummings模型 布居数反转 拉比振荡     

多光子过程中相位退相干时两原子布局数反转

利用全量子理论的方法,研究了存在相位退相干时多光子T-C模型中两个二能级原子与二项式光场相互作用系统中两原子的布居数反转。讨论了相位退相干系数、二项式光场系数、最大光子数、跃迁光子数对原子布居数反转的影响。结果表明：相位退相干减少了原子布居数反转的振幅、破坏了原子的量子特性。改变跃迁光子数,可以改变原子间布居数反转演化周期及演化强度。当二项式光场的最大光子数增大时,原子布居差的崩塌-回复现象就会逐渐消失。相位退相干因子不变时, 二项式光场从相干态过渡到数态过程中,原子布居的振荡频率由大变小,周期性的崩塌与回复现象逐渐消失。     

多光子过程中相位退相干时两原子布局数反转

利用全量子理论的方法,研究了存在相位退相干时多光子T-C模型中两个二能级原子与二项式光场相互作用系统中两原子的布居数反转。讨论了相位退相干系数、二项式光场系数、最大光子数、跃迁光子数对原子布居数反转的影响。结果表明：相位退相干减少了原子布居数反转的振幅、破坏了原子的量子特性。改变跃迁光子数,可以改变原子间布居数反转演化周期及演化强度。当二项式光场的最大光子数增大时,原子布居差的崩塌-回复现象就会逐渐消失。相位退相干因子不变时, 二项式光场从相干态过渡到数态过程中,原子布居的振荡频率由大变小,周期性的崩塌与回复现象逐渐消失。     

附加克介质依赖强度耦合Jaynes-Cummings模型中原子的量子特性

研究了附加克尔介质依赖强度耦合Jaynes-Cummings模型中原子反转特性，并采用密度算符间的距离研究了该模型中原子量子态的演化规律。详细地讨论了克尔非线性作用的强弱以及初始相干光场的强弱对原子反转和原子量子态的演化的影响。结果表明克尔效应的增强使得原子反转演化的周期减小gtR≈πχ2g2+1；在初始相干光场较弱时(n-=10)，克尔介质的非线性相互作用破坏了原子态演化的周期性量在初始相干光场较强时(n-=50)，克尔效应使原子态演化仍近似具有周期必且与原子反转演化的周期相同gtR≈πχ2g2+1。无论初始相干光场强弱如何，随着克尔效应的增强，原子回到初态的布几率增大，当χ-g=5时，原子几乎持续地处于初始的激发态。     

非旋波近似下二能级原子与频率变化光场作用的量子特性

在非旋波近似下,研究了频率随时间变化的相干态光场与二能级原子的相互作用,讨论了光场频率随时间作正弦和方波变化时,原子布居数反转随时间的演化特性。数值计算结果表明,当光场频率不随时间变化时,原子布居数反转的周期随着平均光子数的增大而增大;当光场频率随时间作正弦变化时,原子布居数反转塌缩回复的周期和振幅受到了很大影响,光场频率对演化曲线的振荡频率起到了调制作用;当光场频率随时间作方波变化时,原子布居数反转塌缩回复的周期发生了改变,而且出现了新的塌缩回复现象。     

变频率光场与二能级原子的相互作用：双光子过程

研究了二能级原子与单模电磁场相互作用时的双光子过程,主要考虑了在相干态初始条件下场频率发生变化时的情况,讨论了场频率随时间作正弦缓慢变化对原子布居数反转、光场压缩与原子压缩等特性的影响.结果显示,场频率的改变将使得原子布居数反转的崩塌回复周期增大,回复值减小,而光场及原子压缩效应减弱. 关键词： 布居数反转 光场压缩 原子压缩 双光子过程     

内禀退相干下薛定谔猫态光场与原子相互作用系统的场熵演化

通过求解系统的Milburn方程,研究了二能级原子与薛定谔猫态光场相互作用系统中的场熵演化特性.讨论了内禀退相干,光场强度,相干态间的相位角对场熵演化的影响.结果表明: 内禀退相干下,随着时间的演化,场熵振荡逐渐减弱,光场与原子的纠缠度逐渐趋于恒值.并且光场与原子的最大纠缠度值只取决光场强度和相干态间的相位角,与内禀退相干因子无关.光场强度较小时,奇相干态光场与原子的纠缠度最大;偶相干态光场与原子的纠缠度值为最小;Yurke-Stoler相干态光场与原子的纠缠度值介于两者之间. 当内禀退相干因子不变、光场强度较大时,分别处于Yurke-Stoler相干态、偶相干态和奇相干态的光场与原子的纠缠度值趋近于相同.     

内禀退相干下薛定谔猫态光场与原子相互作用系统的场熵演化

通过求解系统的Milburn方程,研究了二能级原子与薛定谔猫态光场相互作用系统中的场熵演化特性.讨论了内禀退相干,光场强度,相干态间的相位角对场熵演化的影响.结果表明: 内禀退相干下,随着时间的演化,场熵振荡逐渐减弱,光场与原子的纠缠度逐渐趋于恒值.并且光场与原子的最大纠缠度值只取决光场强度和相干态间的相位角,与内禀退相干因子无关.光场强度较小时,奇相干态光场与原子的纠缠度最大;偶相干态光场与原子的纠缠度值为最小;Yurke-Stoler相干态光场与原子的纠缠度值介于两者之间. 当内禀退相干因子不变、光场强度较大时,分别处于Yurke-Stoler相干态、偶相干态和奇相干态的光场与原子的纠缠度值趋近于相同.     

多光子反Jaynes-Cummings模型中混合态二能级原子的粒子数反转特性

利用多光子反Jaynes-Cummings模型研究了单模相干光场与混合态二能级原子相互作用时,二能级原子的粒子数反转特性.讨论了相干光场的平均光子数、跃迁光子数以及原子初始态的混合度等参量对粒子数反转的影响.结果表明：二能级原子的粒子数反转有周期性的崩塌和回复现象. 相干光场平均光子数和跃迁光子数的增加会改变原子的回复周期和崩塌的衰减时间;随相干光场平均光子数的增加粒子数反转的振荡频率增大;随着混合度的减少回复的周期性和崩塌的衰减时间不发生变化但粒子数反转的振荡幅度增大.     

Effect of Phase Shifted Frequency Modulation on Two Level Atom-Field Interaction

We have studied the effect of phase shifted frequency modulation on two level atom with field interaction using Jaynes-Cummings model.Here the frequency of the interacting field is sinusoidally varying with time with a constant phase.Due to the presence of phase in the frequency modulation,the variation of population inversion with time is different from the standard case.There are no exact collapses and revivals in the variation of population inversion but it oscillates sinusoidally with time.In coherent field atom interaction the population inversion behaves as in the case of Fock state atom interaction,when frequency modulation with a non zero phase is applied.The study done with squeezed field has shown the same behavior of the population inversion.     

Cross correlation between the two modes in two-photon Jaynes-Cummings model in the presence of a classical homogeneous gravitational field

The temporal evolution of both the atomic population inversion of an effective two-level atom and the cross correlation between the two modes in two-photon Jaynes-Cummings model in the presence of a classical homogeneous gravitational field are investigated. To analyse the dynamical evolution of the atom-radiation system a quantum treatment of the internal and external dynamics of the atom is presented based on an alternative su(2) dynamical algebraic structure. By solving the Schr?dinger equation in the interaction picture, the evolving state of the system is found by which the influence of the gravitational field on the dynamical behavior of both the atomic population inversion of an effective two-level atom and the cross correlation between the two modes of the radiation field are explored. Assuming that initially the radiation field is prepared in the coherent state for each mode and an effective two-level atom is in a coherent superposition of the excited and ground states, the influence of gravity on both the atomic population inversion of an effective two-level atom and the cross correlation between the two modes of the radiation field are studied.     

调谐耦合场作用下的无反转光放大

 讨论了调谐耦合场作用下的Λ型三能级系统中的无反转光放大（AWI）现象,调谐耦合场同时激励两个基态精细结构能级与激发态能级之间的跃迁,使系统同时呈现电磁诱导透明（EIT）和自发诱导相干凹陷两种特性,而且当调节这个耦合场的频率失谐量在某一特定范围时,系统会在EIT信号上叠加出现AWI现象。研究结果表明：该系统中EIT和自发诱导相干凹陷之间存在能量转移现象,当EIT上出现AWI现象时,虽然激发态能级与基态能级之间没有出现粒子数反转,但是两个基态精细结构能级之间出现了粒子数反转。     

Relaxation of an atom and a cavity mode in an entangled environment

The master equation is derived for an atom and a single high-Q cavity mode interacting with the bath modes produced by a two-mode broadband source based on two degenerate optical parametric oscillators. The relaxation superoperator, found in the resonant and dispersive limits, contains new terms describing correlations between the atom and the cavity mode. Collective coherent states are introduced to show that squeezed states of the atom-cavity subsystem are generated via interaction with an entangled environment. It is shown that a correlated initial state of the atom and the cavity mode manifests itself in two cavity QED phenomena: spontaneous atomic emission in the strong-coupling regime and population inversion in the Jaynes-Cummings model.     

On the possibility of polarizing atoms and nuclei by pulsed electromagnetic fields without using ultra-low temperatures

A method is proposed for fast and deep polarization of the system of hyperfine sublevels of the ground state of an atom having an optical excited state by means of two-component microwave pulses. The pulse of the bichromatic optical field that induces the transitions between the ground state and excited state of the atom is supposed to provide coherence among the hyperfine sublevels of the atomic ground state via the effect of coherent population trapping. The subsequent resonance microwave pulses create the polarization of equally populated ground state sublevels of the atom. The proposed polarization technique may be used for designing the new schemes of quantum computers, for the pulse transformation in optical experiments when light passes through a resonant medium containing rear-earth ions, as well as for producing polarized nuclear targets.     

频率啁啾激光场中锂原子的激发与态囚禁

采用含时多态展开方法,对不同频率啁啾激光场中里德堡锂原子布居数的相干迁移特性进行了计算研究。结果表明：布居数跃迁几率对激光脉冲形状、激光场强度、啁啾率等参数非常敏感,在合适的激光参数下,可以实现布居数在四个量子态之间的完全迁移和量子态的囚禁。     

Solutions of two-mode Jaynes-Cummings models

A simple procedure to solve two fully quantized non-linear Jaynes-Cummings models is presented, one in which an atom interacts with a two-mode radiation field in a Raman-type process and the other involving multiphoton interaction between the two-mode field and the atom. Effect of intensity-dependent coupling between the field and the atom in both the above-mentioned cases has also been investigated. The unitary transformation method presented here not only solves the time-dependent problem but also permits a determination of the eigensolutions of the interacting Hamiltonian at the same time. Graphical features of the time dependence of the population inversion have been analysed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state.      

Unexpected Population Inversion in a Λ-type Medium

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三能级原子与少周期脉冲串作用中的相干布居捕获

研究了少周期脉冲串作用下三能级原子中的布居转移和相干布居捕获现象.在非旋波近似的情况下求解了密度矩阵方程.研究结果表明在等时间间隔的锁相脉冲作用下,系统能级的布居逐步转移并积累,系统基态相干也逐步积累.在满足脉冲重复频率为基态能级频差的整数分之一倍时,三能级系统和频率梳中两梳齿频率成分作用形成相干布居捕获现象,原子暗态布居值达到最大,介质对脉冲透明.在适当选取少周期脉冲参量的情况下,在0.5个ns的时间内三能级系统相干性演化到最大后到达稳态,相干布居捕获发生.与脉宽为100个fs的多周期脉冲相比,少周期脉冲串在介质中建立相干布居捕获的时间缩短两个数量级.由于频率梳中与三能级系统发生作用的梳频成份有相同的频移,相干布居捕获的条件双光子共振仍然满足.因而,当两基态能级频率差较大时,如果选取少周期脉冲载波频率为系统能级1至2和1至3的传输频率之和的一半ω=(ω₁+ω₂)/2,室温下原子热运动的引起的多普勒频移并不会破坏相干布居捕获.