Non-Abelian generalization of off-diagonal geometric phases

Details Non-Abelian generalization of off-diagonal geometric phases Non-Abelian generalization of off-diagonal geometric phases

2006-12-19

arxiv.org/abs/quant-ph/0612164v2

Europhys. Lett. 78, 60004 (2007)

Physics

Quantum Physics

Additional material, journal reference added

Scientific paper

10.1209/0295-5075/78/60004

If a quantum system evolves in a noncyclic fashion the corresponding geometric phase or holonomy may not be fully defined. Off-diagonal geometric phases have been developed to deal with such cases. Here, we generalize these phases to the non-Abelian case, by introducing off-diagonal holonomies that involve evolution of more than one subspace of the underlying Hilbert space. Physical realizations of the off-diagonal holonomies in adiabatic evolution and interferometry are put forward.

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