Phys. Rev. Lett. 85, 1294–1297 (2000)Counting Statistics of an Adiabatic PumpReceived 1 February 2000; published in the issue dated 7 August 2000 We use the Schwinger-Keldysh formalism to derive the charge counting statistics of an adiabatic pump based on an open quantum dot. The distribution function of the transmitted charge in terms of the time-dependent S matrix is obtained. It is applied to a few simple examples of the pumping cycles. By a chiral gauge transformation the problem is mapped onto a problem of pumping by voltage pulses. The role of the chiral anomaly arising in this mapping is emphasized. Conditions for the ideal noiseless quantized pump are discussed. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.1294
DOI:
10.1103/PhysRevLett.85.1294
PACS:
72.10.Bg, 05.45.-a, 73.23.-b
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