On adiabatic theory for extended fermionic lattice systems

被引：0
|
作者：
Henheik, Joscha [1 ]
Wessel, Tom [2 ]
机构：
[1] Inst Sci & Technol Austria IST Austria, Campus 1, A-3400 Klosterneuburg, Austria
[2] Univ Tubingen, Fachbereich Math, Morgenstelle 10, D-72076 Tubingen, Germany
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 12期
基金：
欧洲研究理事会;
关键词：
EXPONENTIAL DECAY; SPECTRAL GAP; QUANTUM; STABILITY;
D O I：
10.1063/5.0123441
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We review recent results on adiabatic theory for ground states of extended gapped fermionic lattice systems under several different assumptions. More precisely, we present generalized super-adiabatic theorems for extended but finite and infinite systems, assuming either a uniform gap or a gap in the bulk above the unperturbed ground state. The goal of this Review is to provide an overview of these adiabatic theorems and briefly outline the main ideas and techniques required in their proofs.
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页数：18
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