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We develop a conceptually simple scheme based on a master-equation approach to evaluate the full-counting statistics (FCS) of elastic and inelastic off-resonant tunneling (cotunneling) in quantum dots (QDs) and molecules. We demonstrate the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Kristen Kaasbjerg , Wolfgang Belzig

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

The properties of the tunnelling-charging Hamiltonian of a Cooper pair pump are well understood in the regime of weak and intermediate Josephson coupling, i.e. when $E_{\mathrm{J}}\lesssim E_{\mathrm{C}}$. It is also known that Berry's…

Superconductivity · Physics 2007-05-23 M. Aunola , J. J. Toppari

The full counting statistics of charge transport is the probability distribution $p_n(t_m)$ that $n$ electrons have flown through the system in measuring time $t_m$. The cumulant generating function (CGF) of this distribution $F(\chi,t_m)$…

Mesoscale and Nanoscale Physics · Physics 2015-11-05 Sam T. Carr , Peter Schmitteckert , Hubert Saleur

Several works investigated the connection between Cooper pair pumping and the geometric and topological properties of the pumping cycle in the parameters space. Recently the predicted connection between Berry's phase and pumped charge was…

Mesoscale and Nanoscale Physics · Physics 2008-05-08 Valentina Brosco , Alexander Shnirman , Rosario Fazio

Quantum transport is often characterized not just by mean observables like the particle or energy current, but by their fluctuations and higher moments, which can act as detailed probes of the physical mechanisms at play. However,…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Ido Zemach , Andre Erpenbeck , Emanuel Gull , Guy Cohen

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 analyze the full counting statistics (FCS) of a single-site quantum dot coupled to multiple metallic electrodes in the normal state and a superconductor for arbitrary transmission. We present an analytical solution of the problem taking…

Mesoscale and Nanoscale Physics · Physics 2011-09-22 H. Soller , A. Komnik

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

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 make use of the first-quantized wave-packet formulation of the full counting statistics to describe charge transport of noninteracting electrons in a mesoscopic device. We derive various expressions for the characteristic function…

Mesoscale and Nanoscale Physics · Physics 2008-10-30 F. Hassler , M. V. Suslov , G. M. Graf , M. V. Lebedev , G. B. Lesovik , G. Blatter

We consider the counting statistics of electron transport through a double quantum dot with special emphasis on the dephasing induced by a nearby charge detector. The double dot is embedded in a dissipative enviroment, and the presence of…

Mesoscale and Nanoscale Physics · Physics 2009-01-08 Alessandro Braggio , Christian Flindt , Tomas Novotny

This paper investigates the performance of a single-user fluid antenna system (FAS), by exploiting a class of elliptical copulas to describe the dependence structure amongst the fluid antenna positions (ports). By expressing the well-known…

Information Theory · Computer Science 2024-09-04 Farshad Rostami Ghadi , Kai-Kit Wong , F. Javier Lopez-Martinez , Chan-Byoung Chae , Kin-Fai Tong , Yangyang Zhang

We have developed a quantitative theory of Cooper pair pumping in gated one-dimensional arrays of Josephson junctions. The pumping accuracy is limited by quantum tunneling of Cooper pairs out of the propagating potential well and by direct…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. P. Pekola , J. J. Toppari , M. Aunola , M. T. Savolainen , D. V. Averin

We investigate the statistics of fluctuations in a classical stochastic network of nodes joined by connectors. The nodes carry generalized charge that may be randomly transferred from one node to another. Our goal is to find the time…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Andrew N. Jordan , Eugene V. Sukhorukov , Sebastian Pilgram

We demonstrate controlled pumping of Cooper pairs down to the level of a single pair per cycle, using an rf-driven Cooper-pair sluice. We also investigate the breakdown of the adiabatic dynamics in two different ways. By transferring many…

Mesoscale and Nanoscale Physics · Physics 2012-08-15 S. Gasparinetti , P. Solinas , Y. Yoon , J. P. Pekola

We derive the fluctuation theorem for a stochastic and periodically driven system coupled to two reservoirs with the aid of a master equation. We write down the cumulant generating functions for both the current and entropy production in…

Statistical Mechanics · Physics 2020-11-26 Kazutaka Takahashi , Yuki Hino , Keisuke Fujii , Hisao Hayakawa

The theory of full counting statistics allows complete characterization of charge transport processes through nanoscale systems. The majority of existing theoretical treatments used to obtain the current cumulants rely on perturbative…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 Richard Stones , Alexandra Olaya-Castro

The internal dynamics of a double quantum dot system is renormalized due to coupling respectively with transport electrodes and a dissipative heat bath. Their essential differences are identified unambiguously in the context of full…

Mesoscale and Nanoscale Physics · Physics 2011-11-11 JunYan Luo , Yu Shen , Xiao-Ling He , Xin-Qi Li , YiJing Yan

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