GEOMETRIC PHASES IN CHIRAL WAVE-GUIDING STRUCTURES

Geometric phases, generated by directional coupling processes in chira l waveguiding structures, are determined. Aharonov-Anandan phases are acquired by N coupled wave amplitudes in cyclic evolution on their Hil bert projective space. Geometric phases generated by closed and partia l cycles and unitary and non-unitary transformations are evaluated; in particular, a N-dimensional pure Faraday rotation is shown, generaliz ing the topological phase recently presented in magneto-optic Faraday rotation. An Aharonov-Bohm type of experiment is proposed.