Validity of Quantum Adiabatic Theorem
Quantum Physics
2013-05-29 v2
Abstract
The consistency of quantum adiabatic theorem has been doubted recently. It is shown in the present paper that the difference between the adiabatic solution and the exact solution to the Schrodinger equation with a slowly changing driving Hamiltonian is small; while the difference between their time derivatives is not small. This explains why substituting the adiabatic solution back into Schrodinger equation leads to "inconsisitency" of the adiabatic theorem. Physics is determined completely by the state vector, and not by its time drivative. Therefore the quantum adiabatic theorem is physically correct.
Cite
@article{arxiv.quant-ph/0410118,
title = {Validity of Quantum Adiabatic Theorem},
author = {Zhaoyan Wu and Hui Yang},
journal= {arXiv preprint arXiv:quant-ph/0410118},
year = {2013}
}
Comments
Reference [6] has been published as "Phys. Rev. Lett. 93, 160408(2004)" recently. It was quoted as "quant-ph/0404022 v6"