Kinematic approach to off-diagonal geometric phases of nondegenerate and degenerate mixed states

Abstract

Off-diagonal geometric phases have been developed in order to provide information of the geometry of paths that connect noninterfering quantal states. We propose a kinematic approach to off-diagonal geometric phases for pure and mixed states. We further extend the mixed state concept proposed in [Phys. Rev. Lett. {\bf 90}, 050403 (2003)] to degenerate density operators. The first and second order off-diagonal geometric phases are analyzed for unitarily evolving pairs of pseudopure states.

New section IV, new figure, journal ref added

References in corpus (2)

• Kinematic approach to the mixed state geometric phase in nonunitary evolution
• An experimental observation of geometric phases for mixed states using NMR interferometry

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• Geometric Phase for degenerate states of spin-1 and spin-1/2 pair