The adiabatic theorem in a quantum many-body setting
Mathematical Physics
2019-03-19 v2 Statistical Mechanics
math.MP
Abstract
In these lecture notes, we review the adiabatic theorem in quantum mechanics, focusing on a recent extension to many-body systems. The role of locality is emphasized and the relation to the quasi-adiabatic flow discussed. An important application of these results to linear response theory is also reviewed.
Cite
@article{arxiv.1808.09985,
title = {The adiabatic theorem in a quantum many-body setting},
author = {Sven Bachmann and Wojciech De Roeck and Martin Fraas},
journal= {arXiv preprint arXiv:1808.09985},
year = {2019}
}
Comments
Lecture notes for a course given by SB at the `Arizona School of Analysis and Mathematical Physics' in Tucson, AZ, March 5-9, 2018