On adiabatic theory for extended fermionic lattice systems
Abstract
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 superadiabatic 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.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 December 2022
 DOI:
 10.1063/5.0123441
 arXiv:
 arXiv:2208.12220
 Bibcode:
 2022JMP....63l1101H
 Keywords:

 Mathematical Physics;
 Condensed Matter  Statistical Mechanics;
 Quantum Physics;
 81Q15;
 81Q20;
 81V70
 EPrint:
 27 pages, 1 figure