Dynamics at the many-body localization transition

被引：139

作者：

Torres-Herrera, E. J. ^{[1
,2
]}

Santos, Lea F. ^{[1
,3
]}

机构：

[1] Yeshiva Univ, Dept Phys, New York, NY 10016 USA

[2] Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico

[3] Harvard Smithsonian Ctr Astrophys, ITAMP, Cambridge, MA 02138 USA

来源：

PHYSICAL REVIEW B | 2015年 / 92卷 / 01期

基金：

美国国家科学基金会;

关键词：

INVERSE PARTICIPATION RATIO; METAL-INSULATOR-TRANSITION; ANDERSON LOCALIZATION; DIFFUSION; STATES;

D O I：

10.1103/PhysRevB.92.014208

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The isolated one-dimensional Heisenberg model with static random magnetic fields has become paradigmatic for the analysis of many-body localization. Here, we study the dynamics of this system initially prepared in a highly-excited nonstationary state. Our focus is on the probability for finding the initial state later in time, the so-called survival probability. Two distinct behaviors are identified before equilibration. At short times, the decay is very fast and equivalent to that of clean systems. It subsequently slows down and develops a power-law behavior with an exponent that coincides with the multifractal dimension of the eigenstates.

引用

页数：7

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