Geometric Phases for Three State Systems
Quantum Physics
2007-05-23 v1
Abstract
The adiabatic geometric phases for general three state systems are discussed. An explicit parameterization for space of states of these systems is given. The abelian and non-abelian connection one-forms or vector potentials that would appear in a three dimensional quantum system with adiabatic characteristics are given explicitly. This is done in terms of the Euler angle parameterization of SU(3) which enables a straight-forward calculation of these quantities and its immediate generalization.
Cite
@article{arxiv.quant-ph/9902061,
title = {Geometric Phases for Three State Systems},
author = {Mark S. Byrd},
journal= {arXiv preprint arXiv:quant-ph/9902061},
year = {2007}
}
Comments
13 pages, LaTeX2e