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

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

2004-05-11

arxiv.org/abs/quant-ph/0405048v2

Phys. Rev. A 71, 032106 (2005)

Physics

Quantum Physics

New section IV, new figure, journal ref added

Scientific paper

10.1103/PhysRevA.71.032106

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.

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