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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

In order to fully characterize the noise associated with electron transport, with its severe consequences for solid-state quantum information systems, the theory of full counting statistics has been developed. It accounts for correlation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. A. Bagrets , Y. Utsumi , D. S. Golubev , G. Schoen

We study theoretically the full distribution of transferred charge in a tunnel junction (or quantum point contact) coupled to a nanomechanical oscillator, as well as the conditional evolution of the oscillator. Even if the oscillator is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. D. Bennett , A. A. Clerk

We report the first observation of the impact of mesoscopic fluctuations on the photocount statistics of coherent light scattered in a random medium. Poisson photocount distribution of the incident light widens and gains additional…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. Balog , P. Zakharov , F. Scheffold , S. E. Skipetrov

We theoretically investigate the effect of inter-molecular Coulomb interactions on transport through molecular monolayers (or other devices based on a large number of nanoscale conductors connected in parallel). Due to the interactions, the…

Mesoscale and Nanoscale Physics · Physics 2013-04-09 Martin Leijnse

A method to calculate the statistics of energy exchange between quantum systems is presented. The generating function of this statistics is expressed through a Keldysh path integral. The method is first applied to the problem of heat…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Kindermann , S. Pilgram

We present an extension of the Keldysh-Green's function method, which allows to calculate the full distribution of transmitted particles through a mesoscopic superconductor. The method is applied to the statistics of supercurrent in short…

Superconductivity · Physics 2009-10-31 W. Belzig , Yu. V. Nazarov

Microscopic theory of counting statistics of electrical noise is reviewed. We discuss a model of passive charge detector based on current fluctuations coupled to a spin, and its relation with the theory of photon counting in quantum optics.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. S. Levitov

Energy transport can reveal information about interacting many-body systems beyond other transport probes. In particular, in one dimension it has been shown that the energy current is directly proportional to the central charge, thus…

Strongly Correlated Electrons · Physics 2020-05-27 Sonja Fischer , Christoph Karrasch , Dirk Schuricht , Lars Fritz

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 derive the full distribution of transmitted particles through a superconducting point contact of arbitrary transparency under voltage bias. The charge transport is dominated by multiple Andreev reflections. The counting statistics is a…

Superconductivity · Physics 2009-11-10 J. C. Cuevas , W. Belzig

We study the full counting statistics for the transmission of two identical particles with positive or negative symmetry under exchange for the situation where the scattering depends on energy. We find that, besides the expected sensitivity…

Mesoscale and Nanoscale Physics · Physics 2008-03-07 F. Hassler , G. B. Lesovik , G. Blatter

We derive Bardeen-like expressions for the transmission probabilities between two multi-probe mesoscopic conductors coupled by a weak tunneling contact. We emphasize especially the dual role of a weak coupling contact as a current source…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Thomas Gramespacher , Markus Buttiker

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

When a mesoscopic conductor is coupled to a high-quality electromagnetic cavity the flow of charges and the flux of photons leaking out of the cavity can both depend strongly on the coupled quantum dynamics of the system. Using a…

Mesoscale and Nanoscale Physics · Physics 2016-06-08 Björn Kubala , Joachim Ankerhold , A. D. Armour

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

We investigate the effects of Coulomb interaction on charge transfer through a quantum dot attached to a normal and a superconducting lead. While for voltages much larger than the gap we recover the usual result for normal conductors, for…

Mesoscale and Nanoscale Physics · Physics 2014-05-27 H. Soller , A. Komnik

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 consider the transport of electrons passing through a mesoscopic device possessing internal dynamical quantum degrees of freedom. The mutual interaction between the system and the conduction electrons contributes to the current…

Mesoscale and Nanoscale Physics · Physics 2010-07-08 Christopher Birchall , Henning Schomerus

The time dependent full counting statistics of charge transport through an interacting quantum junction is evaluated from its generating function, controllably computed with the inchworm Monte Carlo method. Exact noninteracting results are…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Michael Ridley , Viveka Nand Singh , Emanuel Gull , Guy Cohen
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