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Related Experiment Videos

Counting statistics of an adiabatic pump

Andreev1, Kamenev

  • 1Department of Physics, CB 390, University of Colorado, Boulder, Colorado 80303, USA.

Physical Review Letters
|September 16, 2000
PubMed
Summary

We derived charge counting statistics for an adiabatic quantum dot pump using the Schwinger-Keldysh formalism. This work discusses conditions for an ideal, noiseless quantized pump, crucial for quantum information processing.

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Area of Science:

  • Quantum electronics
  • Mesoscopic physics
  • Quantum transport

Background:

  • Understanding charge transport in quantum systems is essential for developing quantum devices.
  • Adiabatic quantum pumps offer a mechanism for controlled charge transfer.
  • Open quantum dots are key components in studying quantum transport phenomena.

Purpose of the Study:

  • To derive the charge counting statistics of an adiabatic pump in an open quantum dot.
  • To analyze the distribution function of transmitted charge using the S matrix.
  • To investigate the mapping to voltage pulse pumping and the role of chiral anomaly.

Main Methods:

  • Schwinger-Keldysh formalism for non-equilibrium quantum systems.
  • Derivation of the transmitted charge distribution function.
  • Chiral gauge transformation to map the system.

Main Results:

  • Obtained the charge counting statistics for an adiabatic quantum dot pump.
  • Derived the distribution function of transmitted charge.
  • Highlighted the significance of chiral anomaly in the mapped system.

Conclusions:

  • The study provides a theoretical framework for analyzing adiabatic quantum pumps.
  • Conditions for achieving an ideal, noiseless quantized pump are discussed.
  • The findings are relevant for the design of quantum electronic devices and metrology.

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