Pancharatnam and Berry Phases in Three-Level Photonic Systems
Quantum Physics
2015-06-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0301047,
title = {Pancharatnam and Berry Phases in Three-Level Photonic Systems},
author = {Y. Ben-Aryeh},
journal= {arXiv preprint arXiv:quant-ph/0301047},
year = {2015}
}