共查询到20条相似文献,搜索用时 93 毫秒
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采用相干态正交化展开方法,研究了非旋波近似下V型三能级原子与单模腔场的相互作用,并且利用保真度对能级的交叉问题进行了判断.研究了在二项式光场作用下,V型三能级原子初始状态以及二项式态光场的光场系数对光场二阶相干度的影响.数值计算结果表明|原子初始时刻处于基态时,随着η的增大光场呈现聚束效应的持续时间先增大后减小|原子初始时刻处于叠加态时,随着参量η的增大光场呈现聚束效应的持续时间逐渐减弱|当η的值足够大时,在这两种情况下光场都将完全呈现反聚束效应|当其它参量不变时,G2(t)的平均值会随着耦合强度的增大而增大. 相似文献
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研究作为二项式态单参数推广超几何态与二能级原子的强度耦合相互作用。讨论了原子反转的动力学演化以及光场的反聚束效应。 相似文献
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研究Kerr介质中,非旋波近似下,一个级联型三能级原子与光场相互作用的二阶相干度的时间演化,讨论了Kerr效应和虚光场效应对场的光子反聚束效应的影响.结果表明,虚光场的影响使系统出现量子噪声;而Kerr介质常量x、共振频率ω的增大及原子-场耦合系数g的减小都将降低原子对激发场的吸收效率,削弱受激辐射场的光子反聚束效应,其中以g的变化对系统的影响最为明显.
关键词:
非旋波近似
Kerr效应
反聚束 相似文献
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利用与时间有关的Hartree近似法证明借助非线性Mach-Zehnder干涉仪可以得到光孤子的光子数压缩态(<(△(N))2>min~<(N)>1/3),并且指出在一些特定时刻光纤孤子会呈现出类薛定谔猫态(Schr(o)dinger-cat
-lik states). 相似文献
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利用全量子理论,在非旋波近似下,对与级联型三能级原子相互作用的二项式光场的光场压缩效应和原子布居几率进行了精确求解.讨论了二项式光场参量η对光场压缩效应的影响,同时也讨论了二项式态光场的最大光子数M对原子布居几率的影响.数值计算结果表明:随着二项式光场参量η的增大,光场压缩效应的持续时间先增大后减小.在非旋波近似下,由于虚光子的影响,光场压缩效应的演化曲线出现了"小锯齿状"的振荡;随着二项式光场的最大光子数M的增大,原子布居几率回复塌缩周期逐渐增大,并且原子布居几率在塌缩区不能完全塌缩,而是出现了"小锯齿状"的振荡.另外文中也讨论了非旋波项对系统量子特性的影响. 相似文献
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利用全量子理论,在非旋波近似下,对与级联型三能级原子相互作用的二项式光场的光场压缩效应和原子布居几率进行了精确求解.讨论了二项式光场参量η对光场压缩效应的影响,同时也讨论了二项式态光场的最大光子数M对原子布居几率的影响.数值计算结果表明:随着二项式光场参量η的增大,光场压缩效应的持续时间先增大后减小.在非旋波近似下,由于虚光子的影响,光场压缩效应的演化曲线出现了“小锯齿状”的振荡;随着二项式光场的最大光子数M的增大,原子布居几率回复塌缩周期逐渐增大,并且原子布居几率在塌缩区不能完全塌缩,而是出现了“小锯齿状”的振荡.另外文中也讨论了非旋波项对系统量子特性的影响. 相似文献
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The nonlinear Schrdinger equation with Kerr law nonlinearity in the two-frequency interference is studied by the numerical method.Chaos occurs easily due to the absence of damping.This phenomenon will cause the distortion in the process of information transmission.We find that fiber-optic transmit signals still present chaotic phenomena if the control intensity is smaller.With the increase of intensity,the fiber-optic signal can stay in a stable state in some regions.When the strength is suppressed to a certain value,an unstable phenomenon of the fiber-optic signal occurs.Moreover we discuss the sensitivities of the parameters to be controlled.The results show that the linear term coefficient and the environment of two quite different frequences have less effects on the fiber-optic transmission.Meanwhile the phenomena of vibration,attenuation and escape occur in some regions. 相似文献
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Exact projective solutions of generalized nonlinear Schrödinger system with variable parameters 下载免费PDF全文
A direct self-similarity mapping approach is successfully applied to a generalized nonlinear Schrödinger (NLS) system. Based on the known exact solutions of a self-similarity mapping equation, a few types of significant localized excitation with novel properties are obtained by selecting appropriate system parameters. The integrable constraint condition for the generalized NLS system derived naturally here is consistent with the known compatibility condition generated via the Painlev? analysis. 相似文献
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在光孤子通信和Bose-Einstein凝聚体动力学研究中,求解广义非线性Schrödinger方程是一个重要的研究方向.稳定的孤子模式具有潜在的应用,可为实验技术的实现提供依据.本文引进一种相似变换,将变系数非线性Schrödinger方程转化成非线性Schrödinger方程,并利用已知解深入研究变系数非线性Schrödinger方程解的单孤子解、两孤子解和连续波背景下的孤子解.同时通过选择不同的具体参数,给出它们的图像分析和相应的讨论.
关键词:
非线性Schrö
dinger方程
相似变换
变系数
孤子解 相似文献
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The relationship between symmetries and Gauss kernels for the Schrödinger equation iut=uxx+f(x)u is established. It is shown that if the Lie point symmetries of the equation are nontrivial, a classical integral transformations of the Gauss kernels can be obtained. Then the Gauss kernels of Schrödinger equations are derived by inverting the integral transformations. Furthermore, the relationship between Gauss kernels for two equations related by an equivalence transformation is identified. 相似文献
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Solving coupled nonlinear Schrödinger equations via a direct discontinuous Galerkin method 下载免费PDF全文
In this work, we present the direct discontinuous Galerkin (DDG) method for the one-dimensional coupled nonlinear Schrödinger (CNLS) equation. We prove that the new discontinuous Galerkin method preserves the discrete mass conservations corresponding to the properties of the CNLS system. The ordinary differential equations obtained by the DDG space discretization is solved via a third-order stabilized Runge-Kutta method. Numerical experiments show that the new DDG scheme gives stable and less diffusive results and has excellent long-time numerical behaviors for the CNLS equations. 相似文献
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JIANG DaoLai REN XueZao CONG HongLu & LI Lei School of Science Southwest University of Science Technology Mianyang China 《中国科学:物理学 力学 天文学(英文版)》2010,(5)
By the method of coherent-state orthogonalization expansion,the atomic inversion and the anti-bunching effect in a two-level atomic system interacting with binomial state field are studied under the Jaynes-Cummings model without rotating wave approximation.The influence of the parameter and the detuning on the anti-bunching effect are discussed,and the anti-bunching effect is also discussed under the conditions of strong coupling.Our studies show that the second order coherence degrees are quite different b... 相似文献
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提出了一种新的算法——高阶辛时域有限差分法(SFDTD(3, 4): symplectic finite-difference time-domain)求解含时薛定谔方程.在时间上采用三阶辛积分格式离散, 空间上采用四阶精度的同位差分格式离散, 建立了求解含时薛定谔方程的高阶离散辛框架;探讨了高阶辛算法的稳定性及数值色散性.通过理论上的分析及数值算例表明:当空间采用高阶同位差分格式时, 辛积分可提高算法的稳定度;SFDTD(3, 4)法和FDTD(2, 4)法较传统的FDTD(2, 2)法数值色散性明显改善.对二维量子阱和谐振子的仿真结果表明: SFDTD(3, 4)法较传统的FDTD(2, 2)法及高阶FDTD(2, 4)法有着更好的计算精度和收敛性, 且SFDTD(3, 4)法能够保持量子系统的能量守恒, 适用于长时间仿真. 相似文献
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Entropy evolvement properties in a system of Schrodinger cat state light field interacting with two entangled atoms 下载免费PDF全文
The field entropy can be regarded as a measurement of the degree of
entanglement between the light field and the atoms of a system which is
composed of two-level atoms initially in an entangled state interacting with the Schr\"{o}dinger cat state. The influences of the strength of light field and the phase angle between the two coherent states on the field entropy are discussed by using numerical calculations. The result shows that when the strength of light field is large enough the field entropy is not zero and the degrees of entanglement between the atoms and the three different states of the light fields are equal. When the strength of the light field is small, the degree of entanglement is maximum in a system of the two entangled atoms interacting with an odd coherent state; it is intermediate for a system of the two entangled atoms interacting with the Yurke--Stoler coherent state, and it is minimum in a system of the two entangled atoms interacting with an even coherent state. 相似文献