  We realized a quantum geometric "charge" pump for a Bose-Einstein condensate
(BEC) in the lowest Bloch band of a novel bipartite magnetic lattice.
Topological charge pumps in filled bands yield quantized pumping set by the
global -- topological -- properties of the bands. In contrast, our geometric
charge pump for a BEC occupying just a single crystal momentum state exhibits
non-quantized charge pumping set by local -- geometrical -- properties of the
band structure. Like topological charge pumps, for each pump cycle we observed
an overall displacement (here, not quantized) and a temporal modulation of the
atomic wavepacket's position in each unit cell, i.e., the polarization.
