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We present time-resolved measurements of electron transport through a quantum dot. The measurements were performed using a nearby quantum point contact as a charge detector. The rates for tunneling through the two barriers connecting the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Gustavsson , R. Leturcq , B. Simovic , R. Schleser , P. Studerus , T. Ihn , K. Ensslin , D. C. Driscoll , A. C. Gossard

The review is given of the calculational schemes that allows for easy evaluation of full current statistics (FCS) in multi-terminal mesoscopic systems. First, the scattering approach by Levitov {\it et.al} to FCS is outlined. Then the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dmitri A. Bagrets , Yuli V. Nazarov

Full counting statistics is a fundamentally new concept in quantum transport. After a review of basic statistics theory, we introduce the powerful Green's function approach to full counting statistics. To illustrate the concept we consider…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 W. Belzig

Full-counting statistics (FCS) provides a powerful framework to access the statistical information of a system from the characteristic function. However, applications of FCS for generic interacting quantum systems often be hindered by the…

Quantum Physics · Physics 2024-01-25 Yun-Zhuo Fan , Dan-Bo Zhang

We study full counting statistics of coherent electron transport through multi-terminal interacting quantum-dots under a finite magnetic field. Microscopic reversibility leads to the symmetry of the cumulant generating function, which…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Keiji Saito , Yasuhiro Utsumi

We investigate the full-counting statistics (FCS) of energy flow carried by electrons in the transient regime. Based on two measurement scheme we formulate a non-equilibrium Keldysh Green's function theory to compute the generating function…

Mesoscale and Nanoscale Physics · Physics 2017-06-23 Zhizhou Yu , Gao-Min Tang , Jian Wang

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

We develop a theory for the full counting statistics (FCS) for a class of nanoelectromechanical systems (NEMS), describable by a Markovian generalized master equation. The theory is applied to two specific examples of current interest:…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christian Flindt , Tomas Novotny , Antti-Pekka Jauho

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

In quantum mechanics, the probability distribution function (PDF) and full counting statistics (FCS) play a fundamental role in characterizing the fluctuations of quantum observables, as they encode the complete information about these…

Quantum Physics · Physics 2025-10-29 Lata Kh Joshi , Filiberto Ares , Manoj K. Joshi , Christian F. Roos , Pasquale Calabrese

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

We analyze the spin-resolved full counting statistics of electron transfer through an ultrasmall quantum dot coupled to metallic electrodes. Modelling the setup by the Anderson Hamiltonian, we explicitly take into account the onsite Coulomb…

Mesoscale and Nanoscale Physics · Physics 2008-04-04 T. L. Schmidt , A. Komnik , A. O. Gogolin

We investigate the full counting statistics of a single quantum dot strongly coupled to a local phonon and weakly tunnel-connected to two metallic electrodes. By employing the generalized nonequilibrium Green function method and the…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Bing Dong , G. H. Ding , X. L. Lei

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

Quantum transport through devices coupled to electron reservoirs can be described in terms of the full counting statistics (FCS) of charge transfer. Transport observables, such as conductance and shot-noise power are just cumulants of FCS…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 M I Sena-Junior , A M S Macêdo

We analyse the full counting statistics (FCS) of the charge transport through the Anderson impurity model (AIM) and similar systems with a single conducting channel. The object of principal interest is the generating function for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. O. Gogolin , A. Komnik

Stochastic systems feature, in general, both coherent dynamics and incoherent transitions between different states. We propose a method to identify the coherent part in the full counting statistics for the transitions. The proposal is…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 Philipp Stegmann , Jürgen König , Stephan Weiss

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 analyze the full counting statistics (FCS) of a single-site quantum dot coupled to a local Holstein phonon for arbitrary transmission and weak electron-phonon coupling. We identify explicitly the contributions due to quasielastic and…

Mesoscale and Nanoscale Physics · Physics 2009-09-15 T. L. Schmidt , A. Komnik

We demonstrate that the probability distribution of the net number of electrons passing through a quantum system in a junction obeys a steady-state fluctuation theorem (FT) which can be tested experimentally by the full counting statistics…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Massimiliano Esposito , Upendra Harbola , Shaul Mukamel