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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

Full counting statistics is a powerful tool to characterize the noise and correlations in transport through mesoscopic systems. In this work, we propose the theory of conditional spin counting statistics, i.e., the statistical fluctuations…

Mesoscale and Nanoscale Physics · Physics 2014-02-18 JunYan Luo , Jing Hu , XiaoLi Lang , Yu Shen , Xiao-Ling He , HuJun Jiao

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

Non-equilibrium transport properties of quantum systems have recently become experimentally accessible in a number of platforms in so-called full-counting experiments that measure transient and steady state non-equilibrium transport…

Quantum Physics · Physics 2016-12-28 Javier Cerrillo , Maximilian Buser , Tobias 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

Full counting statistics concerns the stochastic transport of electrons in mesoscopic structures. Recently it has been shown that the charge transport statistics for non-interacting electrons in a two-terminal system is always generalized…

Mesoscale and Nanoscale Physics · Physics 2011-03-04 Dania Kambly , Christian Flindt , Markus Büttiker

We examine the full counting statistics of quantum dots, which display super-Poissonian shot noise. By an extension to a generic situation with many excited states we identify the underlying transport process. The statistics is a sum of…

Strongly Correlated Electrons · Physics 2007-05-23 W. Belzig

A mesoscopic Coulomb blockade system with two identical transport channels is studied in terms of full counting statistics. It is found that the average current cannot distinguish the quantum constructive interference from the classical…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shi-Kuan Wang , Hujun Jiao , Feng Li , Xin-Qi Li , YiJing Yan

We present an efficient approach, based on a number-conditioned master equation, for large-deviation analysis in mesoscopic transports. Beyond the conventional full-counting-statistics study, the large-deviation approach encodes complete…

Mesoscale and Nanoscale Physics · Physics 2011-09-30 Jun Li , Yu Liu , Jing Ping , Shu-Shen Li , Xin-Qi Li , YiJing Yan

We present a theory of frequency-dependent counting statistics of electron transport through nanostructures within the framework of Markovian quantum master equations. Our method allows the calculation of finite-frequency current cumulants…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 D. Marcos , C. Emary , T. Brandes , R. Aguado

We study analytically the full counting statistics of charge transport through single molecules, strongly coupled to a weakly damped vibrational mode. The specifics of transport in this regime - a hierarchical sequence of avalanches of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jens Koch , M. E. Raikh , Felix von Oppen

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 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

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 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

Measurements of single electron tunneling through a quantum dot using a quantum point contact as charge detector have been performed for very long time traces with very large event counts. This large statistical basis is used for a detailed…

Mesoscale and Nanoscale Physics · Physics 2010-06-04 Christian Fricke , Frank Hohls , Nandhavel Sethubalasubramanian , Lukas Fricke , Rolf J. Haug

The large deviation theory has recently been applied to open quantum systems to uncover dynamical crossovers in the space of quantum trajectories associated to Markovian evolutions. Such dynamical crossovers are characterized by qualitative…

We formalize the derivation of a generalized coarse-graining $n$-resolved master equation by introducing a virtual detector counting the number of transferred charges in single-electron transport. Our approach enables the convenient…

Mesoscale and Nanoscale Physics · Physics 2009-12-11 Gernot Schaller , Gerold Kiesslich , Tobias Brandes

A quantum dot is a sub-micron-scale conducting device containing up to several thousand electrons. Transport through a quantum dot at low temperatures is a quantum-coherent process. This review focuses on dots in which the electron's…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Y. Alhassid

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
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