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We develop a method for calculation of charge transfer statistics of persistent current in nanostructures in terms of the cumulant generating function (CGF) of transferred charge. We consider a simply connected one-dimensional system (a…

Mesoscale and Nanoscale Physics · Physics 2014-10-15 A. Komnik , G. W. Langhanke

Unless constrained by symmetry, measurement of an observable on an ensemble of identical quantum systems returns a distribution of values which are encoded in the full counting statistics. While the mean value of this distribution is…

Statistical Mechanics · Physics 2024-04-03 David X. Horvath , Colin Rylands

Current fluctuations play an important role in non-equilibrium statistical mechanics, and are a key object of interest in both theoretical studies and in practical applications. So far, most of the studies were devoted to the fluctuations…

Statistical Mechanics · Physics 2021-06-01 Bertrand Lacroix-A-Chez-Toine , Oren Raz

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

We present a thermodynamic formalism to study the full counting statistics (FCS) of charge transport through a quantum dot coupled to two leads in the resonant-level model. We show that a close analogue of equilibrium phase transitions…

Statistical Mechanics · Physics 2012-12-21 Sam Genway , James M. Hickey , Juan P. Garrahan , Andrew D. Armour

We report the investigation of full-counting statistics (FCS) of transferred charge and spin in the transient regime where the connection between central scattering region (quantum dot) and leads are turned on at $t=0$. A general…

Statistical Mechanics · Physics 2014-12-15 Gao-Min Tang , Jian Wang

Exact numerical results for the full counting statistics (FCS) of a one-dimensional tight-binding model of noninteracting electrons are presented at finite temperatures using an identity recently presented by Abanov and Ivanov. A similar…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 K. Schönhammer

Full counting statistics (FCS) of charge transfer in mesoscopic systems has recently become a subject of significant interest, since it proves to reveal an important information about the system which can be hardly assessed by other means.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. A. Bagrets , Yu. V. Nazarov

The Full Counting Statistics (FCS) is studied for a one-dimensional system of non-interacting fermions with and without disorder. For two unbiased $L$ site lattices connected at time $t=0$, the charge variance increases as the natural…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 G. C. Levine , M. J. Bantegui , J. A. Burg

We analyse the zero temperature Full Counting Statistics (FCS) for the charge transfer across a biased tunnel junction. We find the FCS from the eigenvalues of the density matrix of outgoing states of one lead. In the general case of a…

Mesoscale and Nanoscale Physics · Physics 2011-08-23 Jin Zhang , Y. Sherkunov , N. d'Ambrumenil , B. Muzykantskii

We study full counting statistics of electron tunneling in Coulomb-blockade systems in the limit of short measuring-time intervals. This limit is particularly suited to identify correlations among tunneling events, but only when analyzing…

Mesoscale and Nanoscale Physics · Physics 2016-09-27 Philipp Stegmann , Jürgen König

We investigate the full-counting statistics (FCS) of energy transport carried by electrons in molecular junctions for the Anderson-Holstein model in the polaronic regime. Using two-time quantum measurement scheme, generating function (GF)…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Gaomin Tang , Zhizhou Yu , Jian Wang

The joint probability distribution in the full counting statistics (FCS) for noninteracting electrons is discussed for an arbitrary number of initially separate subsystems which are connected at t=0 and separated at a later time. A simple…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 L. Inhester , K. Schonhammer

The complete characterisation of the charge transport in a mesoscopic device is provided by the Full Counting Statistics (FCS) $P_t(m)$, describing the amount of charge $Q = me$ transmitted during the time $t$. Although numerous systems…

Mesoscale and Nanoscale Physics · Physics 2016-04-15 A. V. Lebedev , G. B. Lesovik , G. Blatter

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

Performing quantum measurements produces not only the expectation value of a physical observable $O$ but also the probability distribution $P(o)$ of all possible outcomes $o$. The full counting statistics (FCS) $Z(\phi, O)\equiv \sum_o…

Quantum Physics · Physics 2023-09-12 Tian-Gang Zhou , Yi-Neng Zhou , Pengfei Zhang

We review recent advances in the field of full counting statistics (FCS) of charge transfer through impurities imbedded into strongly correlated one-dimensional metallic systems, modelled by Tomonaga-Luttinger liquids (TLLs). We concentrate…

Mesoscale and Nanoscale Physics · Physics 2007-11-28 A. Komnik , B. Trauzettel , U. Weiss

One of the major advances of quantum technology is the engineering of complex quantum channels in lattice systems that paves the way for a variety of novel non-equilibrium phenomena. For a boundary driven lattice with such engineered…

Statistical Mechanics · Physics 2025-11-18 Katha Ganguly , Bijay Kumar Agarwalla

Due to its probabilistic nature, a measurement process in quantum mechanics produces a distribution of possible outcomes. This distribution - or its Fourier transform known as full counting statistics (FCS) - contains much more information…

Statistical Mechanics · Physics 2023-10-09 Bruno Bertini , Pasquale Calabrese , Mario Collura , Katja Klobas , Colin Rylands

Motivated by recent real-time electron counting experiments, we evaluate the full counting statistics (FCS) for the probability distribution of the electron number inside a quantum dot which is weakly coupled to source and drain leads. A…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yasuhiro Utsumi
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