电子在长程跳跃随机势模型中的波粒二象性

量子电子学报

电子在长程跳跃随机势模型中的波粒二象性

黄欣1，方卉1，霍艺芝1，巩龙延1,2*

1南京邮电大学理学院应用物理学系，南京 210023; 2江苏省新能源技术工程实验室,南京 210023

出版日期:2019-03-28 发布日期:2019-03-20
通讯作者: 巩龙延E-mail：lygong@njupt.edu.cn
作者简介:黄欣（199年-），女，福建人，本科生，主要从事量子信息方面的研究。E-mail：1344839415@qq.com
基金资助:
Project supported by the National Natural Science Foundation of China (国家自然科学基金，11504179,11705097)

The wave-particle duality of electron in one-dimensional random potential model with long-range hopping*

HUANG Xin1,FANG Hui1 ,HUO Yizhi1 ,GONG Longyan1,2

1 Applied physics department, College of Science, Nanjing University of Posts and Telecommunications，Nanjing 210046，China； 2 New Energy Technology Engineering Laboratory of Jiangsu Province, Nanjing University of Posts and Telecommunications，Nanjing 210046，China

Published:2019-03-28 Online:2019-03-20

摘要/Abstract

摘要： 粒子的波粒二象性是量子力学中一个重要的基本概念，同时安德森局域化是凝聚态物理中一个重要的物理现象。受光子在双臂干涉仪中波粒二象性的启发，研究了一维长程跳跃随机势模型中表征电子粒子性的分辨率和表征波动性的可见度。研究结果表明小于,等于,和大于分别对应退局域态，临界态和局域态。从金属态到非金属态，安德森转变可以看作一种从偏向波动样行为到偏向粒子样行为的转变。该结果对认识波粒二象性及安德森转变具有重要意义。

关键词: 量子物理, 波粒二象性, 直接对角化方法, 长程跳跃随机势模型

Abstract: The wave-particle duality is a basic concept in quantum mechanics and Anderson localization is an important phenomenon in condensed matter physics. Inspired by the wave-particle duality of photon in a two-arm interferometer, distinguishability D and visibility V are explored for an electron in one-dimensional random potential model with long-range hopping. We find that is less than, equal to, and greater than for delocalized, critical, and localized states, respectively. In this sense, the Anderson transition can be viewed as a transition from relatively more particle-like behavior to relatively more wavelike ones. This research gives a novel view to understand the wave-particle duality and Anderson localization.

Key words: quantum physics, wave-particle duality, direct diagonalization method, random potential model with long-range hopping

黄欣1，方卉1，霍艺芝1，巩龙延1,2*. 电子在长程跳跃随机势模型中的波粒二象性[J]. 量子电子学报.

HUANG Xin1,FANG Hui1,HUO Yizhi1,GONG Longyan1,2. The wave-particle duality of electron in one-dimensional random potential model with long-range hopping*[J]. Chinese Journal of Quantum Electronics.

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