Pancharatnam and Berry Phases in Three-Level Photonic Systems

Details Pancharatnam and Berry Phases in Three-Level Photonic Systems Pancharatnam and Berry Phases in Three-Level Photonic Systems

2003-01-13

arxiv.org/abs/quant-ph/0301047v1

Physics

Quantum Physics

Scientific paper

A theoretical analysis of Pancharatnam and Berry phases is made for biphoton three-level systems, which are produced via frequency degenerate co-linear spontaneous parametric down conversion (SPDC). The general theory of Pancharatnam phases is discussed with a special emphasis on geodesic 'curves'in Hilbert space. Explicit expressions for Pancharatnam, dynamical and geometrical phases are derived for the transformations produced by linear phase-converters. The problem of gauge invariance is treated along all the article.

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