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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…

Strongly Correlated Electrons · Physics 2017-12-18 Khadijeh Najafi , M. A. Rajabpour

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

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

Full counting statistics (FCS) for the transport through a molecular quantum dot magnet is studied theoretically in the incoherent tunneling regime. We consider a model describing a single-level quantum dot, magnetically coupled to an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ken-Ichiro Imura , Yasuhiro Utsumi , Thierry Martin

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

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

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 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

Provided the measuring time is short enough, the full counting statistics (FCS) of the charge pumped across a barrier as a result of a series of voltage pulses are shown to be equivalent to the geometry of two planes. This formulation leads…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Y. B. Sherkunov , A. Pratap , B. Muzykantskii , N. d'Ambrumenil

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

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 investigate the full counting statistics (FCS) of spin-conserving and spin-flip charge transitions in Pauli-spin blockade regime of a GaAs double quantum dot. A theoretical model is proposed to evaluate all spin-conserving and spin-flip…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Sadashige Matsuo , Kazuyuki Kuroyama , Shunsuke Yabunaka , Sascha R. Valentin , Arne Ludwig , Andreas D. Wieck , Seigo Tarucha

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

We study the full counting statistics (FCS) of quantum gases in samples of thousands of interacting bosons, detected atom-by-atom after a long free-fall expansion. In this far-field configuration, the FCS reveals the many-body coherence…

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

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 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

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…

Statistical Mechanics · Physics 2025-08-01 David X. Horvath , Benjamin Doyon , Paola Ruggiero

Exact numerical results for the full counting statistics (FCS) for a one-dimensional tight-binding model of noninteracting electrons are presented without using an idealized measuring device. The two initially separate subsystems are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 K. Schoenhammer

We consider a finite dimensional quantum system $S$ in an arbitrary initial state coupled to an infinitely extended quantum thermal reservoir $R$ in equilibrium at inverse temperature $\beta$. The coupling is given by a bounded perturbation…

Mathematical Physics · Physics 2021-10-06 Jane Panangaden
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