The Adiabatic Theorem and Linear Response Theory for Extended Quantum Systems KU Leuven
© Springer-Verlag GmbH Germany, part of Springer Nature 2018. The adiabatic theorem refers to a setup where an evolution equation contains a time-dependent parameter whose change is very slow, measured by a vanishing parameter ∈. Under suitable assumptions the solution of the time-inhomogenous equation stays close to an instantaneous fixpoint. In the present paper, we prove an adiabatic theorem with an error bound that is independent of the ...