非简并双光子Jaynes-Cummings模型中贝尔非定域性的演化

基于赝自旋算符的关联所对应的贝尔算符期待值,研究了各种双模非经典态(纠缠相干态、对相干态以及双模压缩真空态)在非简并双光子Jaynes-Cummings模型中贝尔非定域性的动力学特性.结果表明:对于纠缠相干态,贝尔非定域性的演化与双模场平均光子数的大小息息相关;对于对相干态和双模压缩真空态,贝尔非定域性会在有限的时间内完全消失,之后又基本上复原到初始值,呈现出周期性振荡现象.     

Controlling Entanglement Dynamics by Choosing Appropriate Ratio between Cavity-Fiber Coupling and Atom-Cavity Coupling

The entanglement characteristics including the so-called sudden death effect between two identical twolevel atoms trapped in two separate cavities connected by an optical fiber are studied. The results show that the time evolution of entanglement is sensitive not only to the degree of entanglement of the initial state but also to the ratio between cavity-fiber coupling （v） and atom-cavity coupling （g）. This means that the entanglement dynamics can be controlled by choosing specific v and ft.     

Transferring Multi-Dimensional Quantum States and Preparing Quantum Networks in Cavity QED

In this paper we propose a scheme for transferring quantum states and preparing quantum networks. Compared with the previous schemes, this scheme is more efficient, since three or four-dimensional quantum states can be transferred with a single step and information interchange of three-dimensional quantum states can be realized, which is a significant improvement. It is based on the resonant interaction of a three-mode cavity field with an atom. As a consequence, the interaction time is shortened greatly. Furthermore, we give some discussions about the feasibility of the scheme.     

最小二乘配点法解薄板几何非线性弯曲问题

用最小二乘配点法分析薄板弯曲问题,国内于1978年首先由徐次达、施德芳用幂级数作为挠度试函数进行了解算.1979年何广乾、张维岳成功地以最小二乘边界配点法解算了壳体的线性弯曲问题.本文系用最小二乘内部配点法解算薄板几何非线性弯曲问题,所用挠度试函数为双三角级数,以边界可动简支方形柔韧板为例进行计算,在解非线性方程组时采用Levenberg-Marguardt法(阻尼最小二乘法),克服方程组的奇异性和病态.计算结果与Levy的成果进行了比较.     

Λ型三能级原子与对相干态光场共振作用中的非经典性质

研究了对相干态光场与一个Λ型三能级原子的共振相互作用中的各种非经典性质,例如光场的反群聚效应,Cauchy-Schwart不等式违背,光场的双模压缩性质等,并发现这些非经典性质在对原子态进行测量后将得到增强.     

用柯西不等式的一个推论简证一类不等式

拜读了《数学通讯》2009年1、2月（学生刊）王增强老师的“用贝努利不等式的变式证一类不等式题”．颇有收获．但觉得证明的变形技巧要求太高,也比较繁琐,下面用柯西不等式的一个推论给出该文几例的简证,为便于说明问题并再添加几例（例1至例5是原文顺序例题,例6至例9是另选例题）．     

Sudden death of entanglement of two atoms interacting with thermal fields

We investigate the entanglement dynamics of two initially entangled atoms each interacting with a thermal field.We show that the two entangled atoms become completely disentangled in a finite time and that the lost information cannot return to the atomic system when the mean photon number of the thermal field exceeds a critical value (3.3584),even though the whole system is lossless.Then we study how the detuning between the atomic transition frequency and the field frequency and the disparity between two coupling rates would affect the evolution of the entanglement of the atomic system.