Floquet theory of electron waiting times in quantum-coherent conductors

David Dasenbrook*, Christian Flindt, Markus Büttiker

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

37 Citations (Scopus)

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.

Original languageEnglish
Article number146801
Pages (from-to)1-5
Number of pages5
JournalPhysical Review Letters
Volume112
Issue number14
DOIs
Publication statusPublished - 9 Apr 2014
MoE publication typeA1 Journal article-refereed

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