利用腔场与可移动镜子的作用制备两种非经典态

描述了在腔场与可移动镜子相互作用系统中,适当选择作用时间,可以制备单模腔场与镜子的纠缠态,或腔场的薛定谔猫态;通过调节腔场的长度、圆频率,以及镜子的质量、振动频率等宏观物理量,可以获得不同的量子态.     

可控三模纠缠相干态的产生

采用量子理论,考虑边界振动的微腔与腔内的三模辐射场构成的系统,给出了系统的时间演化算符及其变换,得到了系统的态函数随时间的演化关系.结果表明,当振动边界回到初态时,三模腔场处于纠缠相干态,并且可以调控不同纠缠相干态的产生.给出了九个不同的三模纠缠相干态,这些态中含有不同的相位因子,这些相位因子充分体现了场和振动边界的相互作用和相互影响.这些结果为可控纠缠相干态的实验制备提供了重要的理论依据.     

多腔场猫态制备新方案研究

我们提出了一个制备多腔场薛定谔猫态的新方案.在这个方案里,我们需要一个两能级原子和几个铜的单模腔.其中,原子跃迁频率与各腔场频率是大失谐的.将原子同时注入几个腔中,原子与各腔同时发生相互作用.系统按大失谐情况下J-C模型演化.着重讨论了三腔场薛定谔猫态的制备,我们的方案可以很容易被推广到多腔场薛定谔猫态的制备.     

边界振动的微腔中的二能级原子

采用全量子理论，对注入腔内的二能级原子、单模腔场和振动边界(视为频率为ω_m的量子谐振子)构成的系统，在相互作用绘景中，求解了该系统的态函数随时间的演化关系，在此基础上得到了原子布居数随时间的演化关系，结果显示布居数在初始值附近振荡，这说明边界的振动是周期性的，它对原子布居数的影响也是周期性的. 关键词： 边界振动的微腔 二能级原子 布居数     

浅谈利用薛定谔方程计算量子态的时间演化

量子力学教学中,薛定谔方程是描述一个量子系统变化的核心部分.学生对薛定谔方程的学习,可以理解量子物理和经典物理的不同之处,在量子物理教学中,薛定谔方程的讲解是一个非常重要的内容.然而在教学中学生对于薛定谔方程的理解,通常局限在定态薛定谔方程,而对于量子态随着时间的变化部分并不清楚,因此我们引入耦合腔模型:一个单光子在一个耦合的腔系统中,求光子在不同腔中出现概率随着时间变化关系.在教学中利用最简单的哈密顿量描述光子在耦合腔中的跳跃过程,给出几率随着时间变化的解析表达式,从而更加直观的理解微观粒子在一个量子系统中的规律.     

态|ψ(3)>q中任意偶数次N次方振幅压缩效应的研究

由于薛定谔猫态光场,尤其是多模薛定谔猫态光场的非经典特性,如各种广义非线性高阶、高次压缩效应,人们构造了多种单模、双模及多模薛定谔猫态光场并研究了其非经典特性,得出了许多全新的物理现象.     

玻色-爱因斯坦凝聚原子与Schrodinger猫态相互作用系统中的保真度

利用全量子理论及量子信息保真度理论,研究了薛定谔猫态光场与玻色爱因斯坦凝聚原子相互作用系统中,量子态保真度随时间的演化特性.讨论了光场强度和玻色爱因斯坦凝聚原子间的耦合强度对量子态保真度的影响.结果表明：光场强度可调制量子态的保真效果,而原子间的耦合常数主要影响量子态保真度的振荡频率.     

玻色-爱因斯坦凝聚原子与Schrodinger猫态相互作用系统中的保真度

利用全量子理论及量子信息保真度理论,研究了薛定谔猫态光场与玻色爱因斯坦凝聚原子相互作用系统中,量子态保真度随时间的演化特性.讨论了光场强度和玻色爱因斯坦凝聚原子间的耦合强度对量子态保真度的影响.结果表明:光场强度可调制量子态的保真效果,而原子间的耦合常数主要影响量子态保真度的振荡频率.     

囚禁离子与单模场的相互作用

研究了囚禁离子与单模量子辐射场构成的相互作用系统在载波激发(ωL=ω0)、红激发［ωＬ=ω0-jν(j=1,2,3)］和蓝激发［ωL=ω0+jν(j=1,2,3)］情形下的统计性质.讨论了系统的态函数随时间的演化关系、光子态和声子态交换的条件及相应的离子布居数，得到了光子数和声子数的平均值及其方差、光子场和声子场的二阶相干度等量值. 关键词： 囚禁离子 单模量子辐射场 声子场 旋波近似     

利用介观LC电路制备薛定谔猫态

提出了一种制备相干态的叠加态，即薛定谔猫态的方案. 该方案是基于将外加冲激信号作用于介观LC电路系统而设计的. 在该薛定谔猫态下，介观电路系统有非经典的量子压缩效应. 关键词： 介观LC电路 冲激信号 薛定谔猫态     

Rigorous solution of a problem for a cylindrical cavity containing a ferrite and a dielectric

A rigorous solution is given for modes of TM_nmo type. The complex resonant frequency _n is expressed via a transcendental characteristic equation. Some particular cases are discussed.Read at the Third All-Union Conference on Ferrites, Leningrad, 23 October 1963.     

Solving a relativistic quasipotential equation for a superposition of a nonlocal separable and a local quasipotential

Within the relativistic quasipotential approach to quantum field theory, a method is developed for solving a finite-difference quasipotential equation for the case where a total quasipotential describing the interaction of two relativistic spinless particles of unequal masses is a superposition of a nonlocal separable and a local quasipotential. The cases are investigated where the local component of the total interaction—it is assumed to be known—either admits or does not admit the existence of bound states. This makes it possible to obtain an exact expression for the increment of the phase shift, to determine the conditions of the existence of bound states, and to give a generalization of the Levinson theorem.     

Tunnelling process between a semiconductor or a metal and a polymer

The tunnelling lifetime of an electron lying in a p-type orbital localised at a given distance from a semiconductor or a metal is calculated by using Bardeen's method. It is then shown that even in the absence of broad bands, the hole injection process from semiconductors and metals into polymers should follow a Fowler-Nordheim dependence, provided that the current is not bulk-limited. In the semiconductor case, the current can be expressed by a fully analytical formula, and by an approximate one in the case of a metal. It is demonstrated that the effective Fowler-Nordheim barrier is not the mere difference between the metal work function or the semiconductor electron affinity and the HOMO level of the polymer, but a simple function of both levels. Received 6 April 2001 and Received in final form 29 May 2001     

Formation of a bistructure of a solid in a computer experiment

Molecular-dynamics was used to investigate the structural changes occurring in a three-dimensional solid when the solid is transferred from an amorphous into a crystalline state. Crystal cells of a new type — pentadecahedrons with five square lateral faces and ten regular triangular faces at the vertices of a cell — were found for the first time in a computer experiment. It is shown that a bistructure consisting of crystal cells of different types, including cells with five-fold symmetry axes, are stable in the solid. Fiz. Tverd. Tela (St. Petersburg) 40, 1919–1924 (October 1998)     

Surface polaritons in a dielectric at a boundary with a metal in a static electric field

The existence of surface polaritons in a dielectric at a boundary with an ideal metal or superconductor in a static electric field is predicted. The frequency regions in which polaritons exist are substantially different for opposite orientations of the electric field, so that a change in the direction of the field signifies “switching on” or “switching off” of surface polaritons with a fixed frequency. Pis'ma Zh. éksp. Teor. Fiz. 68, No. 12, 876–880 (25 December 1998)     

Application of a reflector with a nonuniform field in a mass-reflectron

The conditions under which the nonuniform compensating field of the reflector of the mass-reflectron can be generated with an acceptable accuracy at the symmetry axis of the reflector and extrapolated to the radial neighborhood of the axial line are determined. The plots that illustrate the distribution of the calculated nonuniform field of the reflector, the possibilities for implementation, and errors of focusing with respect to time of flight in the radial neighborhood are presented. Analytical expressions for the calculation of the time of flight of ions in the reflector in which the field distribution is described using a power series and analytical expressions for the calculation of the field distribution in the reflector in which the time of flight is determined using a power series are derived. A method for the analytical calculation of the compensating nonuniform field of the reflector based on the given dependence of the time of flight in the absence of such a field is proposed using a solution to the Abel integral equation. The solution to this equation yields analytical expressions for the calculation of the compensating field of the reflector in mass-reflectrons that contain the zero-field drift space and regions of acceleration (deceleration) of ions with a uniform field.