Volume 85, Number 2, January 2009
Article Number 20001
Number of page(s) 5
Section General
Published online 26 January 2009
EPL, 85 (2009) 20001
DOI: 10.1209/0295-5075/85/20001

New anatomy of quantum holonomy

T. Cheon1 and A. Tanaka2

1   Laboratory of Physics, Kochi University of Technology - Tosa Yamada, Kochi 782-8502, Japan
2   Department of Physics, Tokyo Metropolitan University - Hachioji, Tokyo 192-0397, Japan

received 3 October 2008; accepted in final form 16 December 2008; published January 2009
published online 26 January 2009

We present a unified formulation of quantum holonomy which is capable of describing all of its known varieties. The full role of non-Abelian gauge connection is elucidated. As examples, solvable models of quantum kicked spin are analyzed. They are shown to exhibit spiral holonomy, as well as Berry phase and Wilczek-Zee holonomy. This paper is dedicated to the memory of Attila Nyá.

03.65.Vf - Phases: geometric; dynamic or topological.
03.65.Ca - Formalism.
42.50.Dv - Quantum state engineering and measurements.

© EPLA 2009