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Recent experimental progress has made it possible to detect in real-time single electrons tunneling through Coulomb blockade nanostructures, thereby allowing for precise measurements of the statistical distribution of the number of…

Mesoscale and Nanoscale Physics · Physics 2010-10-07 Christian Flindt , Tomas Novotny , Alessandro Braggio , Antti-Pekka Jauho

We describe a method for calculating the counting statistics of electronic transport through nanoscale devices with both sequential and cotunneling contributions. The method is based upon a perturbative expansion of the von Neumann equation…

Mesoscale and Nanoscale Physics · Physics 2012-09-10 Clive Emary

We present a formalism to calculate finite-frequency current correlations in interacting nanoscale conductors. We work within the n-resolved density matrix approach and obtain a multi-time cumulant generating function that provides the…

Mesoscale and Nanoscale Physics · Physics 2011-04-05 C. Emary , D. Marcos , R. Aguado , T. Brandes

We develop a scheme for the computation of the full-counting statistics of transport described by Markovian master equations with an arbitrary time dependence. It is based on a hierarchy of generalized density operators, where the trace of…

Mesoscale and Nanoscale Physics · Physics 2016-11-30 Mónica Benito , Michael Niklas , Sigmund Kohler

We present a theory of full counting statistics for electron transport through interacting electron systems with non-Markovian dynamics. We illustrate our approach for transport through a single-level quantum dot and a metallic…

Strongly Correlated Electrons · Physics 2007-05-23 Alessandro Braggio , Jürgen König , Rosario Fazio

We extend the second-order von Neumann approach within the generalized master equation formalism for quantum electronic transport to include the counting field. The resulting non-Markovian evolution equation for the reduced density matrix…

Mesoscale and Nanoscale Physics · Physics 2012-01-25 Philipp Zedler , Clive Emary , Tobias Brandes , Tomas Novotny

We consider the theoretical description of real-time counting of electrons tunneling through a Coulomb-blockade quantum dot using a detector with finite bandwidth. By tracing out the quantum dot we find that the dynamics of the detector…

Mesoscale and Nanoscale Physics · Physics 2008-01-09 Christian Flindt , Alessandro Braggio , Tomas Novotny

Using a microscopic model for stochastic transport through a single quantum dot that is modified by the Coulomb interaction of environmental (weakly coupled) quantum dots, we derive generic properties of the full counting statistics for…

Mesoscale and Nanoscale Physics · Physics 2010-05-07 Gernot Schaller , Gerold Kießlich , Tobias Brandes

We develop a comprehensive framework for characterizing fluctuations in quantum transport and nonequilibrium thermodynamics using two complementary approaches: full counting statistics and first-passage times. Focusing on open quantum…

Statistical Mechanics · Physics 2026-01-12 Paul Menczel , Christian Flindt , Fredrik Brange , Franco Nori , Clemens Gneiting

We present a theory of finite-frequency noise in non-equilibrium conductors. It is shown that Non-Markovian correlations are essential to describe the physics of quantum noise. In particular, we show the importance of a correct treatment of…

Mesoscale and Nanoscale Physics · Physics 2011-04-01 D. Marcos , C. Emary , T. Brandes , R. Aguado

We derive a general expression for the cumulant generating function (CGF) of non-Markovian quantum stochastic transport processes. The long-time limit of the CGF is determined by a single dominating pole of the resolvent of the memory…

Mesoscale and Nanoscale Physics · Physics 2008-04-17 Christian Flindt , Tomas Novotny , Alessandro Braggio , Maura Sassetti , Antti-Pekka Jauho

Time-dependent driving influences the quantum and thermodynamic fluctuations of a system, changing the familiar physical picture of electronic noise which is an important source of information the about microscopic mechanism of quantum…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Thomas D. Honeychurch , 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

We have formulated the problem of electron transport through interacting quantum dot system in the framework of self-consistent perturbation theory, and show that the current conservation condition is guaranteed due to the gauge invariant…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Guo-Hui Ding , Bing Dong

We develop a self-consistent version of perturbation theory in Liouville space which seeks to combine the advantages of master equation approaches in quantum transport with the nonperturbative features that a self-consistent treatment…

Mesoscale and Nanoscale Physics · Physics 2010-12-20 Clive Emary

A theory of electron counting statistics in quantum transport is presented. It involves an idealized scheme of current measurement using a spin 1/2 coupled to the current so that it precesses at the rate proportional to the current. Within…

Condensed Matter · Physics 2008-04-12 L. S. Levitov , H. -W. Lee , G. B. Lesovik

We theoretically consider charge transport through two quantum dots coupled in series. The corresponding full counting statistics for noninteracting electrons is investigated in the limits of sequential and coherent tunneling by means of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 G. Kiesslich , P. Samuelsson , A. Wacker , E. Schoell

Full counting statistics of electron transport is a powerful diagnostic tool for probing the nature of quantum transport beyond what is obtainable from the average current or conductance measurement alone. In particular, the non-Markovian…

Mesoscale and Nanoscale Physics · Physics 2015-02-12 Hai-Bin Xue , Hu-Jun Jiao , Jiu-Qing Liang , Wu-Ming Liu

I present an approach to calculate the finite-frequency quantum noise in systems strongly coupled to structured reservoirs based on the Markovian embedding. This technique consists of mapping of the non-Markovian dynamics of the original…

Mesoscale and Nanoscale Physics · Physics 2020-12-04 Krzysztof Ptaszynski

We study coherent transport through a double quantum dot. Its two electronic leads induce electronic matter and energy transport and a phonon reservoir contributes further energy exchanges. By treating the system-lead couplings…

Statistical Mechanics · Physics 2015-04-07 Thilo Krause , Tobias Brandes , Massimiliano Esposito , Gernot Schaller
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