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arXiv · 1311.2402

Floquet Theory of Electron Waiting Times in Quantum-Coherent Conductors

David Dasenbrook·Christian Flindt·Markus Büttiker
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Abstract

We present a Floquet scattering theory of electron waiting time distributions in periodically driven quantum conductors. We employ a second-quantized formulation that allows us to relate the waiting time distribution to the Floquet scattering matrix of the system. As an application we evaluate the electron waiting times for a quantum point contact, modulating either the applied voltage (external driving) or the transmission probability (internal driving) periodically in time. Lorentzian-shaped voltage pulses are of particular interest as they lead to the emission of clean single-particle excitations as recently demonstrated experimentally. The distributions of waiting times provide us with a detailed characterization of the dynamical properties of the quantum-coherent conductor in addition to what can be obtained from the shot noise or the full counting statistics.

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David Dasenbrook, Christian Flindt, Markus Büttiker. 2014-04-09. Floquet Theory of Electron Waiting Times in Quantum-Coherent Conductors. https://doi.org/10.1103/physrevlett.112.146801

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