Sufficient condition for validity of quantum adiabatic theorem

Yong Tao

Published 2010-10-07, updated 2012-02-24Version 3

In this paper, we attempt to give a sufficient condition of guaranteeing the validity of the proof of the quantum adiabatic theorem. The new sufficient condition can clearly remove the inconsistency and the counterexample of the quantum adiabatic theorem pointed out by Marzlin and Sanders [Phys. Rev. Lett. 93, 160408, (2004)].