TL;DR
This paper introduces a comprehensive framework for quantum holonomy, clarifying the role of gauge connections and analyzing models that demonstrate various holonomy phenomena like Berry phase and spiral holonomy.
Contribution
It provides a unified formulation of quantum holonomy that encompasses all known types and clarifies the role of non-Abelian gauge connections.
Findings
Models exhibit spiral holonomy, Berry phase, and Wilczek-Zee holonomy.
Unified framework describes all known quantum holonomy varieties.
Analyzed solvable quantum kicked spin models.
Abstract
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.
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