Lieb-Robinson Bounds and Strongly Continuous Dynamics for a Class of Many-Body Fermion Systems in Rd

被引：0

作者：

Gebert, Martin ^{[1
]}

Nachtergaele, Bruno ^{[1
,2
]}

Reschke, Jake ^{[1
]}

Sims, Robert ^{[3
]}

机构：

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

[2] Univ Calif Davis, Ctr Quantum Math & Phys, Davis, CA 95616 USA

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

来源：

ANNALES HENRI POINCARE | 2020年 / 21卷 / 11期

基金：

美国国家科学基金会;

关键词：

EXPONENTIAL DECAY; RESOLVENT ALGEBRA; HARTREE EQUATION; SPECTRAL GAP; QUANTUM; STABILITY; QUANTIZATION; CONDUCTANCE;

D O I：

10.1007/s00023-020-00959-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a class of UV-regularized two-body interactions for fermions in R-d and prove a Lieb-Robinson estimate for the dynamics of this class of many-body systems. As a step toward this result, we also prove a propagation bound of Lieb-Robinson type for Schrodinger operators. We apply the propagation bound to prove the existence of infinite-volume dynamics as a strongly continuous group of automorphisms on the CAR algebra.

引用

页码：3609 / 3637

页数：29

共 17 条

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Sims, Robert
ENTROPY AND THE QUANTUM, 2010, 529 : 141 - +
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ANNALES HENRI POINCARE, 2025, 26 (01): : 41 - 80
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