Low-Energy Fock-Space Localization for Attractive Hard-Core Particles in Disorder

被引：23
|
作者：
Beaud, Vincent [1 ]
Warzel, Simone [1 ]
机构：
[1] Tech Univ Munich, Zentrum Math, Boltzmannstr 3, D-85748 Garching, Germany
来源：
ANNALES HENRI POINCARE | 2017年 / 18卷 / 10期
基金：
瑞士国家科学基金会;
关键词：
MANY-BODY LOCALIZATION; CHAINS; BOUNDS; STATES;
D O I：
10.1007/s00023-017-0591-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study a one-dimensional quantum system with an arbitrary number of hard-core particles on the lattice, which are subject to a deterministic attractive interaction as well as a random potential. Our choice of interaction is suggested by the spectral analysis of the XXZ quantum spin chain. The main result concerns a version of high-disorder Fock-space localization expressed here in the configuration space of hard-core particles. The proof relies on an energetically motivated Combes-Thomas estimate and an effective one-particle analysis. As an application, we show the exponential decay of the two-point function in the infinite system uniformly in the particle number.
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页码：3143 / 3166
页数：24
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