Hidden Geometric Phases and Holonomies of Four Level System

D. B. Uskov; A. R. P. Rau

doi:10.1364/LS.2006.LTuC3

Frontiers in Optics
OSA Technical Digest (CD) (Optica Publishing Group, 2006),
paper LTuC3
•https://doi.org/10.1364/LS.2006.LTuC3

Hidden Geometric Phases and Holonomies of Four Level System

D. B. Uskov and A. R. P. Rau

Laser Science 2006

Rochester, New York United States
ISBN: 1-55752-818-7

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Spintronix and Quantum Information I (LTuC)

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D. B. Uskov and A. R. P. Rau, "Hidden Geometric Phases and Holonomies of Four Level System," in Frontiers in Optics, OSA Technical Digest (CD) (Optica Publishing Group, 2006), paper LTuC3.

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Abstract

We derive a set of new geometric phases (holonomies) in a four-level system exploiting accidental isomorphism between SU(4) and Spin(6) groups. Higher dimensional generalization of the Bloch sphere, visualizing quantum geometry of 4-level system, is described.

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