Off-diagonal geometric phase for mixed states

Details Off-diagonal geometric phase for mixed states Off-diagonal geometric phase for mixed states

2002-09-14

arxiv.org/abs/quant-ph/0209087v2

Phys. Rev. Lett. 90, 050403 (2003)

Physics

Quantum Physics

small corrections; journal reference added

Scientific paper

10.1103/PhysRevLett.90.050403

We extend the off-diagonal geometric phase [Phys. Rev. Lett. {\bf 85}, 3067 (2000)] to mixed quantal states. The nodal structure of this phase in the qubit (two-level) case is compared with that of the diagonal mixed state geometric phase [Phys. Rev. Lett. {\bf 85}, 2845 (2000)]. Extension to higher dimensional Hilbert spaces is delineated. A physical scenario for the off-diagonal mixed state geometric phase in polarization-entangled two-photon interferometry is proposed.

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