囚禁在电介质球形微腔中类氢原子的内部无序性  

Internal disorder of hydrogenic-like atom trapped in dielectric spherical microcavity

作　　者：刘雪 王德华 Liu Xue;Wang De-Hua(School of Physics and Optoelectronic Engineering,Ludong University,Yantai 264025,China)

机构地区：[1]鲁东大学物理与光电工程学院,烟台264025

出　　处：《物理学报》2023年第10期42-53,共12页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11374133);山东省自然科学基金(批准号:ZR2019MA066)资助的课题.

摘　　要：给出了一种研究囚禁在微腔中类氢原子的内部无序性的一种方法,即利用体系的量子信息熵和形状复杂度对囚禁体系的无序性进行表征和研究.计算和分析了囚禁在InN电介质球形微腔中类氢原子的位置和动量空间中香农信息熵和形状复杂度,重点探究了量子囚禁效应对体系无序性的影响.计算结果表明:当微腔半径较小时,量子囚禁现象显著,形状复杂度曲线中有一系列极值点,这是由信息熵和空间不均匀性的共同作用引起的.随着微腔半径增大,囚禁现象减弱,囚禁类氢原子的香农信息熵和形状复杂度趋近于自由空间类氢原子的情形.为囚禁量子体系内部无序性的研究提供了一种有效方法,对囚禁量子体系的信息测量提供了一定的参考.The research on the disorder of quantum system plays a very important role in the field of quantum information,and has received much attention from theoretical and experimental researchers.However,it is very difficult to study the disorder of atoms trapped in microcavity due to their complex nonlocal space-time evolution characteristics.To solve this problem,we present a method to study the internal disorder of hydrogenic atoms trapped in microcavity,that is,to characterize and investigate the disorder of the confined system by using the quantum information entropy and shape complexity of the system.The Shannon information entropy and shape complexity in position space and momentum space(Sr,Sp,C[r],C[p])are calculated and analyzed for different quantum states of hydrogenic atom in InN dielectric spherical microcavity,and pay special attention to the exploration of the influence of quantum confinement effect on the disorder of the system.The results show that when the radius of the spherical microcavity is very small,the quantum confinement effect is more significant,and a series of extreme points appears in the shape complexity curve of the system,which is caused by the joint interaction of information entropy and spatial inhomogeneity.With the increase of the radius of the spherical cavity,the effect of quantum confinement is weakened,and the Shannon information entropy and shape complexity of the confined hydrogenic atom are similar to the counterparts of the hydrogenic atom in free space.Our work provides an effective method to study the internal disorder of a confined quantum.This work provides an effective method for studying the internal disorder of confined quantum systems and presents some references for the information measurement of confined quantum systems.

关 键 词：量子信息熵 形状复杂度 量子囚禁 InN电介质球形微腔 

分 类 号：O471.1[理学—半导体物理]