Non-Abelian generalization of off-diagonal geometric phases
Quantum Physics
2011-11-09 v2
Abstract
If a quantum system evolves in a noncyclic fashion the corresponding geometric phase or holonomy may not be fully defined. Off-diagonal geometric phases have been developed to deal with such cases. Here, we generalize these phases to the non-Abelian case, by introducing off-diagonal holonomies that involve evolution of more than one subspace of the underlying Hilbert space. Physical realizations of the off-diagonal holonomies in adiabatic evolution and interferometry are put forward.
Cite
@article{arxiv.quant-ph/0612164,
title = {Non-Abelian generalization of off-diagonal geometric phases},
author = {David Kult and Johan Åberg and Erik Sjöqvist},
journal= {arXiv preprint arXiv:quant-ph/0612164},
year = {2011}
}
Comments
Additional material, journal reference added