New anatomy of quantum holonomyT. 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