有限深对称量子阱中电子量子比特的性质  

The Properties of a Electronic Qubit in Finite Symmetry Quantum Well

作　　者：王丽丽[1] 萨仁高娃[1] 赵翠兰[1] 

机构地区：[1]内蒙古民族大学物理与电子信息学院,内蒙古通辽028043

出　　处：《内蒙古民族大学学报（自然科学版）》2011年第3期249-253,共5页Journal of Inner Mongolia Minzu University：Natural Sciences

基　　金：内蒙古高校科研项目(NJZY08085);内蒙古自然科学基金资助项目(20080404MS0109)

摘　　要：通过求解有限深对称量子阱中电子的能量本征方程,得到电子的能量状态;并以此为基础利用基态和第二激发态叠加构造一个量子比特,研究电子量子比特的性质.数值计算结果表明:概率密度的振荡周期与量子阱宽度和深度均有关,当势阱深度给定时,振荡周期随量子阱宽度的增大而增大,当阱宽给定时,振荡周期随势阱深度的增大而减小.各坐标点的概率密度幅值不同,量子阱中心位置概率密度幅值最大,其它位置较小.电子的概率密度以周期T在z方向振荡,不同时间点的概率密度幅值不同,在一个周期内,当t=0T,1T时电子概率密度在阱内中心达到最大,当t=0.5T时电子概率密度在阱内中心达到最小;在阱外电子的概率密度都是向两边逐渐衰减的.Electronic energy states in finite symmetry quantum wells are obtained by solving the Schr（o｜¨）dinger equation and a quantum bit is formed by overlying both the ground state and the second excited state,the properties of a electronic qubit are studied.The numerical results for finite symmetry quantum wells indicate that the oscillation periods of the probability density are related with the width and depth of the quantum Wells.When the well depth is given,the oscillation period is increasing with the increasing of the well width.In opposite,the oscillation period is decreasing with the increasing of the well depth.The amplitude in the center of the quantum Wells is maximized in different coordinate positions.The probability density distribution of electron with the variety of time in the z direction and the oscillation period of the probability density isT.In a oscillation period,the probability density in the center of the quantum Wells is maximized when the time is 0T and 1T and in the center of the quantum Wells is minimalist when the time is 0.5T in the well inside.The probability density is gradually fading to the both sides in the well outside.

关 键 词：有限深对称量子阱 概率密度 量子比特 振荡周期 

分 类 号：O469[理学—凝聚态物理]