00-72 J.E. Avron, A. Elgart, G.M. Graf and L. Sadun
Geometry, Statistics and Asymptotics of Quantum Pumps (25K, LaTeX2e with RevTeX) Feb 14, 00
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Abstract. We give a pedestrian interpretation of a formula of Buttiker et.al. (BPT) relating the adiabatically pumped current to the S matrix and its (time) derivatives. We describe the geometric content of BPT and of the corresponding Brouwer pumping formula. As applications we derive explicit formulas for the joint probability density of pumping and conductance in the context of random matrix theory, and derive an asymptotic formula for hard pumping in case that the S matrix is periodic in the driving parameters.

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