The adiabatic theorem in a quantum many-body setting
Sven Bachmann, Wojciech De Roeck, Martin Fraas
TL;DR
This paper reviews the adiabatic theorem in quantum mechanics, emphasizing recent extensions to many-body systems, the importance of locality, and applications to linear response theory.
Contribution
It introduces recent advancements in the adiabatic theorem specifically tailored for quantum many-body systems, highlighting the role of locality and quasi-adiabatic flow.
Findings
Extension of the adiabatic theorem to many-body quantum systems
Discussion of locality's role in adiabatic processes
Application to linear response theory
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.
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