Counting Statistics of an Adiabatic Pump
Abstract
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.
- Publication:
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Physical Review Letters
- Pub Date:
- August 2000
- DOI:
- 10.1103/PhysRevLett.85.1294
- arXiv:
- arXiv:cond-mat/0001460
- Bibcode:
- 2000PhRvL..85.1294A
- Keywords:
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- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- 4 pages