Locality Estimates for Quantum Spin Systems

被引：36

作者：

Nachtergaele, Bruno ^{[1
]}

Sims, Robert ^{[2
]}

机构：

[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA

[2] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

来源：

NEW TRENDS IN MATHEMATICAL PHYSICS | 2009年

基金：

奥地利科学基金会; 美国国家科学基金会;

关键词：

LIEB-ROBINSON BOUNDS; LATTICE SYSTEMS; SPECTRAL GAP; THEOREM; CHAINS;

D O I：

10.1007/978-90-481-2810-5_39

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We review some recent results that express or rely on the locality properties of the dynamics of quantum spin systems. In particular, we present a slightly sharper version of the recently obtained Lieb-Robinson bound on the group velocity for such systems on a large class of metric graphs. Using this bound we provide expressions of the quasi-locality of the dynamics in various forms, present a proof of the Exponential Clustering Theorem, and discuss a multi-dimensional Lieb-Schultz-Mattis Theorem.

引用

页码：591 / +

页数：2

共 24 条

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