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Chinese Physics Letters

Quantum Entanglement and Normal-to-Local Transition in Molecule H2S

刘大明, 彭东平, 侯喜文

Published Jan 1, 2008• 0 citations
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Abstract

在分子 H2S 的二段的量纠纷以熵随着时间的过去由一般水准定义的还原剂密度 von Neumann 熵和平均数为各种各样的起始的状态被调查。这被显示出最大并且与本地模式的特性一起的一个起始的状态的吝啬的熵是比与正常模式的特性一起的那些小的，并且吝啬的熵在 normal-to-local 转变的位置附近显示最大值。

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在分子 H2S 的二段的量纠纷以熵随着时间的过去由一般水准定义的还原剂密度 von Neumann 熵和平均数为各种各样的起始的状态被调查。这被显示出最大并且与本地模式的特性一起的一个起始的状态的吝啬的熵是比与正常模式的特性一起的那些小的，并且吝啬的熵在 normal-to-local 转变的位置附近显示最大值。
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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 λ c = 2. It is found that the von Neumann entropy is a good quantity to reflect localization and metal–insulator transition.
The von Neumann entanglement entropy is a useful measure to characterize a quantum phase transition. We investigate the nonanalyticity of this entropy at disorder-dominated quantum phase transitions in noninteracting electronic systems. At these critical points, the von Neumann entropy is determined by the single particle wave function intensity, which exhibits complex scale invariant fluctuations. We find that the concept of multifractality is naturally suited for studying von Neumann entropy of the critical wave functions. Our numerical simulations of the three dimensional Anderson localization transition and the integer quantum Hall plateau transition show that the entanglement at these transitions is well described using multifractal analysis.