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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…

Mesoscale and Nanoscale Physics · Physics 2014-04-10 David Dasenbrook , Christian Flindt , Markus Büttiker

Electron transport in mesoscopic conductors has traditionally involved investigations of the mean current and the fluctuations of the current. A complementary view on charge transport is provided by the distribution of waiting times between…

Mesoscale and Nanoscale Physics · Physics 2012-05-08 Mathias Albert , Géraldine Haack , Christian Flindt , Markus Büttiker

The distribution of electron waiting times is useful to characterize quantum transport in mesoscopic structures. Here we consider a generic quantum-coherent conductor consisting of a mesoscopic scatterer in a two-terminal setup. We extend…

Mesoscale and Nanoscale Physics · Physics 2014-12-04 Géraldine Haack , Mathias Albert , Christian Flindt

We evaluate the joint distributions of electron waiting times in coherent conductors described by scattering theory. Successive electron waiting times in a single-channel conductor are found to be correlated due to the fermionic statistics…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 David Dasenbrook , Patrick P. Hofer , Christian Flindt

The electron waiting time is the time that passes between two subsequent charge transfers in an electronic conductor. Recently, theories of electron waiting times have been devised for quantum transport in Coulomb-blockade structures and…

Mesoscale and Nanoscale Physics · Physics 2016-06-14 David Dasenbrook , Christian Flindt

Electron waiting times are an important concept in the analysis of quantum transport in nano-scale conductors. Here we show that the statistics of electron waiting times can be used to characterize Cooper pair splitters that create…

Mesoscale and Nanoscale Physics · Physics 2018-03-13 Nicklas Walldorf , Ciprian Padurariu , Antti-Pekka Jauho , Christian Flindt

The development of single-electron sources has paved the way for a novel type of experiments in which individual electrons are emitted into a quantum-coherent circuit. In one approach, single-electron excitations are generated by applying…

Mesoscale and Nanoscale Physics · Physics 2019-04-04 Pablo Burset , Janne Kotilahti , Michael Moskalets , Christian Flindt

We formulate a quantum theory of electron waiting time distributions for charge transport in nano-structures described by non-Markovian generalized master equations. We illustrate our method by calculating the waiting time distribution of…

Mesoscale and Nanoscale Physics · Physics 2013-03-18 Konrad H. Thomas , Christian Flindt

Distributions of electron waiting times have been measured in several recent experiments and have been shown to provide complementary information compared to what can be learned from the electric current fluctuations. Existing theories,…

Mesoscale and Nanoscale Physics · Physics 2021-08-26 Philipp Stegmann , Björn Sothmann , Jürgen König , Christian Flindt

The distribution of waiting times between elementary tunneling events is of fundamental importance for understanding the stochastic charge transfer processes in nanoscale conductors. Here we investigate the waiting time distributions (WTDs)…

Mesoscale and Nanoscale Physics · Physics 2011-08-31 Mathias Albert , Christian Flindt , Markus Büttiker

On the elementary level, electronic current consists of individual electron tunnelling events that are separated by random time intervals. The waiting time distribution is a probability to observe the electron transfer in the detector…

Mesoscale and Nanoscale Physics · Physics 2017-02-21 Daniel S. Kosov

We discuss the electronic waiting-time distribution of a quantum-dot spin valve, i.e. a single-level quantum dot coupled to two ferromagnetic electrodes with magnetizations that can point in arbitrary directions. We demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Björn Sothmann

We investigate the distribution of waiting times between electrons emitted from a periodically driven single-electron turnstile. To this end, we develop a scheme for analytic calculations of the waiting time distributions for arbitrary…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 Elina Potanina , Christian Flindt

We consider a sequence of quantized Lorentzian pulses of non-interacting electrons impinging on a quantum point contact (QPC) and study the waiting time distribution (WTD), for any transmission and any number of pulses. As the degree of…

Mesoscale and Nanoscale Physics · Physics 2014-07-24 Mathias Albert , Pierre Devillard

We develop the Floquet scattering theory for quantum mechanical pumping in mesoscopic conductors. The nonequilibrium distribution function, the dc charge and heat currents are investigated at arbitrary pumping amplitude and frequency. For…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Moskalets , M. Buttiker

Waiting time distribution and the zero-frequency full counting statistics of unidirectional electron transport through a double quantum dot molecule attached to spin-polarized leads are analyzed using the quantum master equation. The…

Mesoscale and Nanoscale Physics · Physics 2017-07-10 Krzysztof Ptaszynski

Waiting time is an important transport quantity that is complementary to average current and its fluctuation. So far all the studies of waiting time distribution (WTD) are limited to steady state transport (either dc or ac). In this work,…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 Gao-Min Tang , Fuming Xu , Jian Wang

Scattering theory is a standard tool for the description of transport phenomena in mesoscopic systems. Here, we provide a detailed derivation of this method for nano-scale conductors that are driven by oscillating electric or magnetic…

Statistical Mechanics · Physics 2020-06-01 Kay Brandner

We consider the distribution of waiting times between non-interacting fermions on a tight-binding chain. We calculate the waiting time distribution for a quantum point contact and find a cross-over from Wigner-Dyson statistics at full…

Mesoscale and Nanoscale Physics · Physics 2014-06-17 Konrad H. Thomas , Christian Flindt

We analyze charge fluctuations in a parasitic state strongly coupled to a superconducting Josephson-junction-based charge detector. The charge dynamics of the state resembles that of electron transport in a quantum dot with two charge…

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