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We optimize the operation of single-electron charge pumps using full countingstatistics techniques. To this end, we evaluate the statistics of pumped chargeon a wide range of driving frequencies using Floquet theory, focusing here onthe current and the noise. For charge pumps controlled by one or two gatevoltages, we demonstrate that our theoretical framework may lead to enhanceddevice performance. Specifically, by optimizing the driving parameters, wepredict a significant increase in the frequencies for which a quantized currentcan be produced. For adiabatic two-parameter pumps, we exploit that the pumpedcharge and the noise can be expressed as surface integrals over Berrycurvatures in parameter space. Our findings are important for the efforts torealize high-frequency charge pumping, and our predictions may be verifiedusing current technology.

Optimization of quantized charge pumping using full counting statistics