Non-Abelian geometric phase in four-waveguide arrays
Bao-Long Weng, Dong-Mei Lai, Xin-Ding Zhang · Physical Review A · 2012
In this paper we present a scheme to simulate the four-level stimulated Raman adiabatic passage in a four-waveguide array. The engineered tripod-well optical-waveguide structure provides a classic analog of coherent transport in cold atoms coupled with optical traps. We show that a non-Abelian gauge structure emerges in this adiabatic passage. Furthermore, we demonstrate that this waveguide structure may help us to see ``directly'' the noncommutative feature of the non-Abelian geometric phases.