Avron J. E. and Berger J. Adiabatic Response of Quantum Systems Pinching a Gap Closure (37K, tarred, gzipped and uuencoded; revtex file and 1 postcript file) ABSTRACT. A vanishing cause can lead to a large response in quantum systems which undergo cyclic deformations that pinch a point of level crossing. We call such behavior homeopathic. We illustrate this behavior by studying charge circulation in quantum models of necklaces of atoms driven by a running wave of small amplitude.