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Scattering Approach to Counting Statistics in Quantum Pumps

B. A. Muzykantskii·Y. Adamov
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Abstract

We consider the Fermi gas in a non-equilibrium state obtained by applying an arbitrary time-dependent potential to the Fermi gas in the ground state. We present a general method that gives the quantum statistics of any single-particle quantity, such as the charge, total energy or momentum, in this non-equilibrium state. We show that the quantum statistics may be found from the solution of a matrix Riemann-Hilbert problem. We use the method to study how the finite measuring time modifies the distribution of the charge transferred through a biased quantum point contact.

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B. A. Muzykantskii, Y. Adamov. 2003-03-19. Scattering Approach to Counting Statistics in Quantum Pumps. https://doi.org/10.1103/physrevb.68.155304

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