Adiabatic Response of Quantum Systems Pinching a Gap Closure
Abstract
A vanishing cause can lead to a finite and even diverging response in quantum systems which undergo cyclic deformations that pinch a point of level crossing. We call such behavior homeopathic. The divergence of the response in transport properties is related to, but distinct from, the divergence that occurs in the generalized susceptibility. We illustrate homeopathic behavior by studying charge circulation in quantum models of necklaces of atoms driven by a running wave of small amplitude at zero and finite temperatures. The charge circulation is inversely proportional to the temperature.Keywords
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