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Related papers: Full counting statistics in the sine--Gordon model

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We developed a theoretical framework which extends the method of \textit{full counting statistics} (FCS) from conventional single channel Kondo screening schemes to multi-channel Kondo paradigm. The developed idea of FCS has been…

Mesoscale and Nanoscale Physics · Physics 2018-10-30 D. B. Karki , Mikhail N. Kiselev

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 discuss the Full Counting Statistics of non-commuting variables with the measurement of successive spin counts in non-collinear directions taken as an example. We show that owing to an irreducible detector back-action, the FCS in this…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Antonio Di Lorenzo , Gabriele Campagnano , Yuli V. Nazarov

The sine-Gordon model appears as the low-energy effective field theory of various one-dimensional gapped quantum systems. Here we investigate the dynamics of generic, non-integrable systems belonging to the sine-Gordon family at finite…

Statistical Mechanics · Physics 2022-12-14 Márton Kormos , Dániel Vörös , Gergely Zaránd

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 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

We analyze the nonequilibrium transport properties of a quantum dot with a harmonic degree of freedom (Holstein phonon) coupled to metallic leads, and derive its full counting statistics (FCS). Using the Lang-Firsov (polaron)…

Mesoscale and Nanoscale Physics · Physics 2011-02-11 S. Maier , T. L. Schmidt , A. Komnik

We analyze in detail the interaction correction to Full Counting Statistics (FCS) of electron transfer in a quantum contact originating from the electromagnetic environment surrounding the contact. The correction can be presented as a sum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Tobiska , Yu. V. Nazarov

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

We study the full counting statistics of interferometers for chiral Majorana fermions with two incoming and two outgoing Dirac fermion channels. In the absence of interactions, the FCS can be obtained from the $4\times4$ scattering matrix…

Mesoscale and Nanoscale Physics · Physics 2015-09-22 Gregory Struebi , Wolfgang Belzig , Thomas L. Schmidt , Christoph Bruder

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…

Statistical Mechanics · Physics 2026-05-19 Taiki Ishiyama , Kazuya Fujimoto , Tomohiro Sasamoto

A quantitative prediction of Conformal Field Theory (CFT), which relates the second moment of the energy-density correlator away from criticality to the value of the central charge, is verified in the sine-Gordon model. By exploiting the…

High Energy Physics - Theory · Physics 2007-05-23 Carlos Naón , Mariano Salvay

We evaluate the full current statistics (FCS) in the low dimensional (1D and 2D) diffusive conductors in the incoherent regime, $eV\gg E_{\rm Th}=D/L^2$, $E_{\rm Th}$ being the Thouless energy. It is shown that Coulomb interaction…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Dmitry A. Bagrets

We review the relations between the full counting statistics and the field theory of electric circuits. We demonstrate that for large conductances the counting statistics is determined by non-trivial saddle-point of the field. Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yuli V. Nazarov

We study the sine-Gordon (SG) model at finite densities of the topological charge and small SG interaction constant, related to the one-dimensional Hubbard model near half-filling. Using the modified WKB approach, we find that the spectrum…

Strongly Correlated Electrons · Physics 2009-11-07 D. N. Aristov , A. Luther

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

A general model independent approach using the `off-shell Bethe Ansatz' is presented to obtain an integral representation of generalized form factors. The general techniques are applied to the quantum sine-Gordon model alias the massive…

High Energy Physics - Theory · Physics 2009-11-07 H. Babujian , M. Karowski

We study a microscopic Hamiltonian model describing an N-level quantum system S coupled to an infinitely extended thermal reservoir R. Initially, the system S is in an arbitrary state while the reservoir is in thermal equilibrium at…

Mathematical Physics · Physics 2014-10-01 Vojkan Jaksic , Jane Panangaden , Annalisa Panati , Claude-Alain Pillet

Fully conditional specification (FCS) is a convenient and flexible multiple imputation approach. It specifies a sequence of simple regression models instead of a potential complex joint density for missing variables. However, FCS may not…

Computation · Statistics 2026-05-14 Mingyang Cai , Stef van Buuren , Gerko Vink

We study the counting statistics of charge transport in the Anderson impurity model (AIM) employing both Keldysh perturbation theory in a Fermi liquid picture and the Bethe ansatz. In the Fermi liquid approach, the object of our principal…

Mesoscale and Nanoscale Physics · Physics 2025-12-31 A. O. Gogolin , R. M. Konik , A. W. W. Ludwig , H. Saleur