Anomalous charge pumping in a one-dimensional optical superlattice

Understand

We model atomic motion in a sliding superlattice potential to explore topological "charge pumping" and to find optimal parameters for experimental observation of this phenomenon.

• We analytically study the band-structure, finding how the Wannier states evolve as two sinusoidal lattices are moved relative to one-another, and relate this evolution to the center of mass motion of an atomic cloud.
• We pay particular attention to counterintuitive or anomalous regimes, such as when the atomic motion is opposite to that of the lattice.