Articles dans des revues à comité de lecture
|The geometry of (non)-Abelian adiabatic pumping|
|J. Phys. A: Math. Theor. 44 (2011) 295301|
|DOI : 10.1088/1751-8113/44/29/295301|
We give a gauge description of the adiabatic charge pumping in closed systems, both in Abelian and non-Abelian processes, and by means of asymptotic Wilson loops in a suitable parameter manifold. Our geometric formulation provides new insights into this issue, and a very simple algorithm for numerical computations. Indeed, as we show first, discretized Berry–Wilczek–Zee holonomies are easy to implement. Finally, we study non-Abelian pumping in a solvable four-state model, already used in several contexts, to demonstrate the relevance of our approach.