A note on the geometric phase in adiabatic approximation
Quantum Physics
2009-11-10 v4
Abstract
The adiabatic theorem shows that the instantaneous eigenstate is a good approximation of the exact solution for a quantum system in adiabatic evolution. One may therefore expect that the geometric phase calculated by using the eigenstate should be also a good approximation of exact geometric phase. However, we find that the former phase may differ appreciably from the latter if the evolution time is large enough.
Cite
@article{arxiv.quant-ph/0406163,
title = {A note on the geometric phase in adiabatic approximation},
author = {D. M. Tong and K. Singh and L. C. Kwek and C. H. Oh},
journal= {arXiv preprint arXiv:quant-ph/0406163},
year = {2009}
}
Comments
11 pages, no figure, modified and Journal-ref added