Noncyclic geometric phase and its non-Abelian generalization
نویسندگان
چکیده
منابع مشابه
Noncyclic Geometric Phase and Its Non-Abelian Generalization
We use the theory of dynamical invariants to yield a simple derivation of noncyclic analogues of the Abelian and non-Abelian geometric phases. This derivation relies only on the principle of gauge invariance and elucidates the existing definitions of the Abelian noncyclic geometric phase. We also discuss the adiabatic limit of the noncyclic geometric phase and compute the adiabatic non-Abelian ...
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For a periodic Hamiltonian, periodic dynamical invariants may be used to obtain non-degenerate cyclic states. This observation is generalized to the degenerate cyclic states, and the relation between the periodic dynamical invariants and the Floquet decompositions of the time-evolution operator is elucidated. In particular, a necessary condition for the occurrence of cyclic non-adiabatic non-Ab...
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Mark A. Kowarsky,1,2,3 Lloyd C. L. Hollenberg,1,2 and Andrew M. Martin1 1School of Physics, The University of Melbourne, Parkville 3010, Australia 2Center for Quantum Computation and Communication Technology, School of Physics, The University of Melbourne, Parkville 3010, Australia 3Department of Physics, Stanford University, Stanford, California 94305, USA (Received 6 February 2014; published ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1999
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/32/46/312