We theoretically and numerically investigate the properties of waveguides based on Pancharatnam-Berry phase, obtained by a longitudinally periodic rotation optic axis in transversely twisted birefringent medium. In this paper we study case where period longitudinal modulation is chosen so that net accumulation geometric phase propagation occurs. First, interplay between different contributions ...

2014 Berry discovered that wave functions may acquire a geometrical phase factor, in addition to the usual dynamical phase, during an adiabatic cycle with period T. The dynamical and Berry phases are here recognized as the first two terms in a systematic WKB expansion in powers of 03B5 = 1/ T. We thus provide a simple method for the calculation of adiabatic phases and for a consistent inclusion...

The Aharonov–Anandan and Berry phases are determined for the cyclic motions of a non–relativistic charged spinless particle evolving in the superposition of the fields produced by a Penning trap and a rotating magnetic field. Discussion about the selection of the parameter’s space and the relationship between the Berry phase and the symmetry of the binding potential is given. PACS: 03.65 Ca, 03...

We examine the Bloch-Peierls-Berry dynamics under a classical nonequilibrium dynamical formulation. In this formulation all coordinates in phase space formed by the position and crystal momentum space are treated on equal footing. Explicitly demonstrations of the no (naive) Liouville theorem and of the validity of Darboux theorem are given. The explicit equilibrium distribution function is obta...