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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…

介观与纳米尺度物理 · 物理学 2015-05-13 K. Schönhammer

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…

介观与纳米尺度物理 · 物理学 2013-05-30 G. C. Levine , M. J. Bantegui , J. A. Burg

We derive the large deviation function, which provides the large-time full counting statistics for the charge transfer, in the non-equilibrium steady state of the resonant-level model. The general form of this function in free fermion…

数学物理 · 物理学 2015-05-28 Denis Bernard , Benjamin Doyon

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…

量子物理 · 物理学 2023-09-12 Tian-Gang Zhou , Yi-Neng Zhou , Pengfei Zhang

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…

介观与纳米尺度物理 · 物理学 2007-05-23 Dmitri A. Bagrets , Yuli V. Nazarov

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…

介观与纳米尺度物理 · 物理学 2020-11-25 Thomas D. Honeychurch , Daniel S. Kosov

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…

统计力学 · 物理学 2014-12-15 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…

统计力学 · 物理学 2023-10-09 Bruno Bertini , Pasquale Calabrese , Mario Collura , Katja Klobas , Colin Rylands

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…

介观与纳米尺度物理 · 物理学 2007-05-23 A. O. Gogolin , A. Komnik

Full counting statistics (FCS) is a dynamical generalisation of the free energy, encapsulating detailed information about the distribution and large-scale correlation functions of conserved charges and their associated currents. In this…

统计力学 · 物理学 2026-01-09 Botond C. Nagy , Marton Kormos , Gabor Takacs

We calculate the full counting statistics (FCS) of a subsystem energy in free fermionic systems by means of the Grassmann variables. We demonstrate that the generating function of these systems can be written as a determinant formula with…

强关联电子 · 物理学 2017-12-18 Khadijeh Najafi , M. A. Rajabpour

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 $F(\chi,t_m)$…

介观与纳米尺度物理 · 物理学 2015-11-05 Sam T. Carr , Peter Schmitteckert , Hubert Saleur

The full counting statistics (FCS) of current has long provided fundamental insights into nonequilibrium systems. Recently, the FCS in quantum many-body systems has attracted growing attention, driven by rapid experimental progress in…

统计力学 · 物理学 2026-05-19 Taiki Ishiyama , Kazuya Fujimoto , Tomohiro Sasamoto

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:…

介观与纳米尺度物理 · 物理学 2007-05-23 Christian Flindt , Tomas Novotny , Antti-Pekka Jauho

The statistics of fluctuations on large regions of space encodes universal properties of many-body systems. At equilibrium, it is described by thermodynamics. However, away from equilibrium such as after quantum quenches, the fundamental…

统计力学 · 物理学 2025-08-01 David X. Horvath , Benjamin Doyon , Paola Ruggiero

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.…

介观与纳米尺度物理 · 物理学 2009-11-07 D. A. Bagrets , Yu. V. Nazarov

We analyse the full counting statistics (FCS) of a superconducting junction in non-equilibrium in the limit of small interface transparency. In this limit we treat both supercurrent and multiple Andreev reflections on equal footing and show…

介观与纳米尺度物理 · 物理学 2013-08-06 H. Soller

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…

介观与纳米尺度物理 · 物理学 2011-08-23 Jin Zhang , Y. Sherkunov , N. d'Ambrumenil , B. Muzykantskii

We study charge transport and fluctuations of the (3+1)-dimensional massive free Dirac theory. In particular, we focus on the steady state that emerges following a local quench whereby two independently thermalized halves of the system are…

统计力学 · 物理学 2018-11-14 Takato Yoshimura

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…

介观与纳米尺度物理 · 物理学 2008-10-30 F. Hassler , M. V. Suslov , G. M. Graf , M. V. Lebedev , G. B. Lesovik , G. Blatter
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