Geometrical light transfer in optical waveguide arrays

Abstract

We propose to simulate the four-level stimulated Raman adiabatic passage in a four-waveguide array. We find that an Abelian geometric phase factor emerges in this adiabatic passage, and the transfer of light between the waveguides can solely depend on the geometric phase. The robustness of geometric phase may bring additional benefits for high-precision light manipulation in some all-optical devices.