Quantitative conditions do not guarantee the validity of the adiabatic approximation
Quantum Physics
2009-11-11 v3
Abstract
In this letter, we point out that the widely used quantitative conditions in the adiabatic theorem are insufficient in that they do not guarantee the validity of the adiabatic approximation. We also reexamine the inconsistency issue raised by Marzlin and Sanders (Phys. Rev. Lett. 93, 160408, 2004) and elucidate the underlying cause.
Keywords
Cite
@article{arxiv.quant-ph/0509073,
title = {Quantitative conditions do not guarantee the validity of the adiabatic approximation},
author = {D. M. Tong and K. Singh and L. C. Kwek and C. H. Oh},
journal= {arXiv preprint arXiv:quant-ph/0509073},
year = {2009}
}
Comments
corrected typos. Eq. (32) is corrected. No other changes