| Issue |
EPL
Volume 85, Number 2, January 2009
|
|
|---|---|---|
| Article Number | 20001 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/85/20001 | |
| Published online | 26 January 2009 | |
New anatomy of quantum holonomy
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
Corresponding author: taksu.cheon@kochi-tech.ac.jp
Received:
3
October
2008
Accepted:
16
December
2008
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.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 03.65.Ca – Formalism / 42.50.Dv – Quantum state engineering and measurements
© EPLA, 2009
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