| Von Neumann Entropy of an Electron in One-Dimensional Determined Potentials |
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| 引用本文： | 巩龙龑 童培庆. Von Neumann Entropy of an Electron in One-Dimensional Determined Potentials[J]. 中国物理快报, 2005, 22(11): 2759-2762 |
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| 作者姓名： | 巩龙龑 童培庆 |
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| 作者单位： | [1]National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093 [2]Department of Physics, Nanjing Normal University, Nanjing 210097 [3]Department of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos 90203009 and 10175035, the Natural Science Foundation of Jiangsu Province of China under Grant No BK2001107, and the Excellent Young Teacher Program of the Ministry of Education of China. |
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| 摘 要： | By using the measure of von Neumann entropy, we numerically investigate quantum entanglement of an electron moving in the one-dimensional Harper model and in the one-dimensional slowly varying potential model. The delocalized and localized eigenstates can be distinguished by von Neumann entropy of the individual eigenstates.There are drastic decreases in von Neumann entropy of the individual eigenstates at mobility edges. In the curve of the spectrum averaged von Neumann entropy as a function of potential parameter λ, a sharp transition exists at the metal-insulator transition point λc = 2. It is found that the von Neumann entropy is a good quantity to reflect localization and metal-insulator transition.
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| 关 键 词： | Neumann熵 量子纠缠 一维Harper模型 电子电压 绝缘体 |
| 收稿时间： | 2005-07-22 |
| 修稿时间： | 2005-07-22 |
Von Neumann Entropy of an Electron in One-Dimensional Determined Potentials |
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| GONG Long-Yan, TONG Pei-Qing. Von Neumann Entropy of an Electron in One-Dimensional Determined Potentials[J]. Chinese Physics Letters, 2005, 22(11): 2759-2762 |
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| Authors: | GONG Long-Yan TONG Pei-Qing |
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