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arxiv: 1808.09985 · v2 · pith:A6CXILGHnew · submitted 2018-08-29 · 🧮 math-ph · cond-mat.stat-mech· math.MP

The adiabatic theorem in a quantum many-body setting

classification 🧮 math-ph cond-mat.stat-mechmath.MP
keywords adiabaticmany-bodyquantumtheoremapplicationdiscussedemphasizedextension
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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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