Extending the quantal adiabatic theorem: Geometry of noncyclic motion
Quantum Physics
2009-10-31 v2
Abstract
We show that a noncyclic phase of geometric origin has to be included in the approximate adiabatic wave function. The adiabatic noncyclic geometric phase for systems exhibiting a conical intersection as well as for an Aharonov-Bohm situation is worked out in detail. A spin-1/2 experiment to measure the adiabatic noncyclic geometric phase is discussed. We also analyze some misconceptions in the literature and textbooks concerning noncyclic geometric phases.
Cite
@article{arxiv.quant-ph/9801013,
title = {Extending the quantal adiabatic theorem: Geometry of noncyclic motion},
author = {Gonzalo Garcia de Polavieja and Erik Sjoeqvist},
journal= {arXiv preprint arXiv:quant-ph/9801013},
year = {2009}
}
Comments
Minor stylistic changes in text and Fig. 3. Forthcoming in American Journal of Physics (March 98)