Sufficient condition for validity of quantum adiabatic theorem

TL;DR

This paper proposes a new sufficient condition that ensures the validity of the quantum adiabatic theorem, resolving previous inconsistencies and counterexamples that challenged its proof.

Contribution

It introduces a novel sufficient condition that guarantees the theorem's validity and addresses prior issues raised by counterexamples.

Findings

Removes the inconsistency in the quantum adiabatic theorem

Provides a clear criterion for the theorem's validity

Resolves the counterexample by Marzlin and Sanders

Abstract

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)].