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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

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 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

We propose a time-dependent approach to investigate the motion of electrons in quantum pump device configurations. The occupied one-particle states are propagated in real time and used to calculate the local electron density and current. An…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Stefanucci , S. Kurth , A. Rubio , E. K. U. Gross

We study the full-counting statistics of charges transmitted through a single-level quantum dot weakly coupled to a local Einstein phonon which causes fluctuations in the dot energy. An analytic expression for the cumulant generating…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Y. Utsumi , O. Entin-Wohlman , A. Ueda , A. Aharony

Continuously measured quantum systems are characterized by an output current, in the form of a stochastic and correlated time series which conveys crucial information about the underlying quantum system. The many tools used to describe…

Quantum Physics · Physics 2025-12-19 Gabriel T. Landi , Michael J. Kewming , Mark T. Mitchison , Patrick P. Potts

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

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

Inspired by recent advances in cold atomic systems and non-equilibrium physics, we introduce a novel characterization scheme, the time of flight full counting statistics. We benchmark this method on an interacting one dimensional Bose gas,…

Quantum Gases · Physics 2022-04-18 Izabella Lovas , Balázs Dóra , Eugene Demler , Gergely Zaránd

We study the dynamics of two capacitively coupled quantum dots, each coupled to a lead. A Floquet Green's function approach described the system's dynamics, with the electron-electron interactions handled with the fluctuation-exchange…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 Thomas D. Honeychurch , Daniel S. Kosov

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

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 present a scalable protocol for measuring full counting statistics (FCS) in experiments or tensor-network simulations. In this method, an ancilla in the middle of the system acts as a turnstile, with its phase keeping track of the…

Quantum Physics · Physics 2025-01-03 Rhine Samajdar , Ewan McCulloch , Vedika Khemani , Romain Vasseur , Sarang Gopalakrishnan

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 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

We study theoretically the full counting statistics of electron transport through side-coupled double quantum dot (QD) based on an efficient particle-number-resolved master equation. It is demonstrated that the high-order cumulants of…

Mesoscale and Nanoscale Physics · Physics 2013-10-02 Hai-Bin Xue

We present a method, based on characterizing efficiency fluctuations, to asses the performance of nanoscale thermoelectric junctions. This method accounts for effects typically arising in small junctions, namely, stochasticity in the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Massimiliano Esposito , Maicol A. Ochoa , Michael Galperin

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 investigate the full counting statistics of charge transport in $U(1)$-symmetric random unitary circuits. We consider an initial mixed state prepared with a chemical potential imbalance between the left and right halves of the system,…

Quantum Physics · Physics 2023-12-04 Ewan McCulloch , Jacopo De Nardis , Sarang Gopalakrishnan , Romain Vasseur

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