Von Neumann Entropy of an Electron in One-Dimensional Determined Potentials
GONG Long-Yan1,3, TONG Pei-Qing1
1National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093
2Department of Physics, Nanjing Normal University, Nanjing 210097
3Department of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003
Von Neumann Entropy of an Electron in One-Dimensional Determined Potentials
GONG Long-Yan1,3;TONG Pei-Qing1
1National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093
2Department of Physics, Nanjing Normal University, Nanjing 210097
3Department of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003
Abstract： 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.
GONG Long-Yan;TONG Pei-Qing. Von Neumann Entropy of an Electron in One-Dimensional Determined Potentials[J]. 中国物理快报, 2005, 22(11): 2759-2762.
GONG Long-Yan, TONG Pei-Qing. Von Neumann Entropy of an Electron in One-Dimensional Determined Potentials. Chin. Phys. Lett., 2005, 22(11): 2759-2762.
2005, Vol. 22 
