Title: Quantum Charge Pumps with Topological Phases in Creutz Ladder,
Abstract: Quantum charge pumping phenomenon connects band topology through the dynamics
of a one-dimensional quantum system. In terms of a microscopic model, the
Su-Schrieffer-Heeger/Rice-Mele quantum pump continues to serve as a fruitful
starting point for many considerations of topological physics. Here we present
a generalized Creutz scheme as a distinct two-band quantum pump model. By
noting that it undergoes two kinds of topological band transitions accompanying
with a Zak-phase-difference of $\pi$ and $2\pi$, respectively, various charge
pumping schemes are studied by applying an elaborate Peierl's phase
substitution. Translating into real space, the transportation of quantized
charges is a result of cooperative quantum interference effect. In particular,
an all-flux quantum pump emerges which operates with time-varying fluxes only
and transports two charge units. This puts cold atoms with artificial gauge
fields as an unique system where this kind of phenomena can be realized.