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arxiv: 0807.4046 · v4 · submitted 2008-07-25 · 🪐 quant-ph · cond-mat.mes-hall· hep-th· math-ph· math.MP· nucl-th

New anatomy of quantum holonomy

classification 🪐 quant-ph cond-mat.mes-hallhep-thmath-phmath.MPnucl-th
keywords holonomyquantumanalyzedanatomyberrycapableconnectiondescribing
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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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