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In electron transport, the tunnelling time is the time taken for an electron to tunnel out of a system after it has tunnelled in. We define the tunnelling time distribution for quantum processes in a dissipative environment and develop a…

Mesoscale and Nanoscale Physics · Physics 2016-10-20 Samuel Rudge , Daniel Kosov

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

Quantum transport of electrons through a molecule is a series of individual electron tunnelling events separated by stochastic waiting time intervals. We study the emergence of temporal correlations between successive waiting times for the…

Mesoscale and Nanoscale Physics · Physics 2017-09-19 Daniel S. Kosov

Electron transport through a nanoscale system is an inherently stochastic quantum mechanical process. Electric current is a time series of electron tunnelling events separated by random intervals. Thermal and quantum noise are two sources…

Mesoscale and Nanoscale Physics · Physics 2016-11-08 Samuel L. Rudge , Daniel S. Kosov

In quantum transport through nanoscale devices, fluctuations arise from various sources: the discreteness of charge carriers, the statistical non-equilibrium that is required for device operation, and unavoidable quantum uncertainty. As…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Samuel L. Rudge , Daniel S. Kosov

In the resonant tunneling regime sequential processes dominate single electron transport through quantum dots or molecules that are weakly coupled to macroscopic electrodes. In the Coulomb blockade regime, however, cotunneling processes…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Samuel L. Rudge , Daniel S. Kosov

The waiting time distribution $w(\tau)$, i.e. the probability for a delay $\tau$ between two subsequent transition (`jumps') of particles, is a statistical tool in (quantum) transport. Using generalized Master equations for systems coupled…

Mesoscale and Nanoscale Physics · Physics 2025-12-31 Tobias Brandes

Many molecular junctions display stochastic telegraphic switching between two distinct current values, which is therefore an important source of fluctuations in nanoscale quantum transport. We investigate electronic fluctuations arising via…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Samuel L. Rudge , Daniel S. Kosov

Time-dependent currents in molecular junctions can be caused by structural fluctuations or interaction with external fields. In this publication, we demonstrate how the hierarchical quantum master equation approach can be used to study…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Andre Erpenbeck , Lukas Götzendörfer , Christian Schinabeck , Michael Thoss

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

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

Time-evolution of open, dissipative quantum system is a stochastic process that consists of a series of quantum jumps that take place at random times. Between quantum jumps quantum system idles for some time in a particular quantum state.…

Statistical Mechanics · Physics 2016-05-10 D. S. Kosov

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…

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

We investigate on the same footing the time-dependent electronic transport properties and vibrational dynamics of a molecular junction. We show that fluctuations of both the molecular vibron displacement and the electronic current across…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Rémi Avriller , R Souto , A. Martin-Rodero , A Yeyati

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

The waiting time distribution has, in recent years, proven to be a useful statistical tool for characterising transport in nanoscale quantum transport. In particular, as opposed to moments of the distribution of transferred charge, which…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Samuel L. Rudge , Daniel S. Kosov

The puzzling behavior of the transition phase through a quantum dot can be understood in a natural way via a formation of the electron molecule in the quantum dot. In this case the resonance tunneling takes place through the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. A. Gurvitz

Nuclear pore complexes are constantly confronted by large fluxes of macromolecules and macromolecular complexes that need to get into and out of the nucleus. Such bi-directional traffic occurring in a narrow channel can easily lead to…

Biological Physics · Physics 2008-07-22 Ruti Kapon , Alon Topchik , David Mukamel , and Ziv Reich
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