On adiabatic theory for extended fermionic lattice systems

Autor:	Henheik, Joscha, Wessel, Tom
Rok vydání:	2022
Předmět:	Mathematical Physics Condensed Matter - Statistical Mechanics Quantum Physics 81Q15 81Q20 81V70
Zdroj:	J. Math. Phys. 63, 121101 (2022)
Druh dokumentu:	Working Paper
DOI:	10.1063/5.0123441
Popis:	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 as well as infinite systems, assuming either a uniform gap or a gap in the bulk above the unperturbed ground state. The goal of this note is to provide an overview of these adiabatic theorems and briefly outline the main ideas and techniques required in their proofs. Comment: 27 pages, 1 figure; v2: corrected typos and updated references; closely resembles the published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.12220 Zobrazit plný text záznamu View this record from Arxiv