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We study the full counting statistics (FCS) and symmetry-resolved entanglement entropies of integer and fractional quantum Hall states. For the filled lowest Landau level of spin-polarized electrons on an infinite cylinder, we compute…

Strongly Correlated Electrons · Physics 2022-05-16 Blagoje Oblak , Nicolas Regnault , Benoit Estienne

We consider the $1d$ one-component plasma (OCP) in thermal equilibrium, consisting of $N$ equally charged particles on a line, with pairwise Coulomb repulsion and confined by an external harmonic potential. We study two observables: (i) the…

Statistical Mechanics · Physics 2022-06-10 Ana Flack , Satya N. Majumdar , Gregory Schehr

We present a detailed analysis of two-state trajectories obtained from force-clamp spectroscopy (FCS) of reversibly bonded systems. FCS offers the unique possibility to vary the equilibrium constant in two-state kinetics, for instance the…

Soft Condensed Matter · Physics 2015-05-18 Gregor Diezemann , Thomas Schlesier , Burkhard Geil , Andreas Janshoff

We consider the ground state of two species of one-dimensional critical free theories coupled together via a conformal interface. They have an internal $U(1)$ global symmetry and we investigate the quantum fluctuations of the charge across…

High Energy Physics - Theory · Physics 2023-08-09 Luca Capizzi , Sara Murciano , Pasquale Calabrese

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

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

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…

Statistical Mechanics · Physics 2018-11-14 Takato Yoshimura

Steady-state currents generically occur both in systems with continuous translation invariance and in nonequilibrium settings with particle drift. In either case, thermal fluctuations advected by the current act as a source of noise for…

Statistical Mechanics · Physics 2025-03-05 Ewan McCulloch , Romain Vasseur , Sarang Gopalakrishnan

The mechanical, thermal and vibrational properties of defective crystals are important in many different contexts, from metallurgy and solid-state physics to, more recently, soft matter and colloidal physics. Here we study two different…

Soft Condensed Matter · Physics 2017-07-25 Johannes Krausser , Rico Milkus , Alessio Zaccone

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

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…

Mesoscale and Nanoscale Physics · Physics 2011-08-23 Jin Zhang , Y. Sherkunov , N. d'Ambrumenil , B. Muzykantskii

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 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

We provide a comprehensive view of various phase transitions in random $K$-satisfiability problems solved by stochastic-local-search algorithms. In particular, we focus on the finite-size scaling (FSS) exponent, which is mathematically…

Statistical Mechanics · Physics 2015-03-17 Sang Hoon Lee , Meesoon Ha , Chanil Jeon , Hawoong Jeong

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

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

Introducing a general class of one-dimensional single-file systems (meaning that particle crossings are prohibited) of interacting hardcore particles with internal degrees of freedom (called charge), we exhibit a novel type of dynamical…

Statistical Mechanics · Physics 2024-03-11 Žiga Krajnik , Johannes Schmidt , Vincent Pasquier , Tomaž Prosen , Enej Ilievski

A two-dimensional lattice system of non-interacting electrons in a homogeneous magnetic field with half a flux quantum per plaquette and a random potential is considered. For the large scale behavior a supersymmetric theory with collective…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 K. Ziegler

We propose a lattice model for Dirac fermions which allows us to break the degeneracy of the node structure. In the presence of a random gap we analyze the scaling behavior of the localization length as a function of the system width within…

Disordered Systems and Neural Networks · Physics 2014-12-23 A. Hill , K. Ziegler

We analyze the full counting statistics (FCS) of a single-site quantum dot coupled to a local Holstein phonon for arbitrary transmission and weak electron-phonon coupling. We identify explicitly the contributions due to quasielastic and…

Mesoscale and Nanoscale Physics · Physics 2009-09-15 T. L. Schmidt , A. Komnik