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We study the out-of-equilibrium dynamics of entanglement fluctuations in the $\nu=1$ Quantum Symmetric Simple Exclusion Process, a free-fermion chain with hopping amplitudes that are stochastic in time but homogeneous in space. Previous…

统计力学 · 物理学 2026-05-11 Angelo Russotto , Filiberto Ares , Pasquale Calabrese , Vincenzo Alba

We demonstrate exciting similarities between classical and quantum many body systems whose microscopic dynamics are composed of non-reciprocal three-site facilitated exclusion processes. We show that the quantum analogue of the classical…

统计力学 · 物理学 2023-02-28 Amit Kumar Chatterjee , Adhip Agarwala

We consider theoretically a driven-dissipative quantum many-body system consisting of an atomic ensemble in a single-mode optical cavity as described by the open Tavis-Cummings model. In this hybrid light-matter system the interplay between…

We investigate the fluctuations around the average density profile in the weakly asymmetric exclusion process with open boundaries in the steady state. We show that these fluctuations are given, in the macroscopic limit, by a centered…

其他凝聚态物理 · 物理学 2009-11-11 B. Derrida , C. Enaud , C. Landim , S. Olla

Entanglement properties of driven quantum systems can potentially differ from the equilibrium situation due to long range coherences. We confirm this observation by studying a suitable toy model for mesoscopic transport~: the open quantum…

统计力学 · 物理学 2023-10-24 Denis Bernard , Ludwig Hruza

Single-file Brownian motion in periodic structures is an important process in nature and technology, which becomes increasingly amenable for experimental investigation under controlled conditions. To explore and understand generic features…

统计力学 · 物理学 2019-11-20 Dominik Lips , Artem Ryabov , Philipp Maass

We study a simple transport model driven out of equilibrium by reservoirs at the boundaries, corresponding to the hydrodynamic limit of the symmetric simple exclusion process. We show that a nonlocal transformation of densities and currents…

统计力学 · 物理学 2007-12-03 Julien Tailleur , Jorge Kurchan , Vivien Lecomte

We investigate the dynamics of the $\nu=1$ Quantum Symmetric Simple Exclusion Process starting from spatially inhomogeneous initial states. This one-dimensional system of free fermions has time-dependent stochastic hopping amplitudes that…

统计力学 · 物理学 2026-02-18 Angelo Russotto , Filiberto Ares , Pasquale Calabrese , Vincenzo Alba

The one dimensional symmetric simple exclusion process (SSEP) is one of the very few exactly soluble models of non-equilibrium statistical physics. It describes a system of particles which diffuse with hard core repulsion on a one…

统计力学 · 物理学 2015-05-20 Bernard Derrida

We introduce a multi-species generalization of the symmetric simple exclusion process with open boundaries. This model possesses the property of being integrable and appears as physically relevant because the boundary conditions can be…

统计力学 · 物理学 2017-02-01 Matthieu Vanicat

We discuss a method by which quantum fluctuations can be included in microscopic transport models based on wave packets that are not energy eigenstates. By including the next-to-leading order term in the cumulant expansion of the…

核理论 · 物理学 2009-10-30 A. Ohnishi , J. Randrup

We study equilibrium fluctuations for a class of totally asymmetric zero-range type interacting particle systems. As a main result, we show that density fluctuation of our process converges to the stationary energy solution of the…

概率论 · 数学 2022-01-07 Kohei Hayashi

Driven diffusive systems are often used as simple discrete models of collective transport phenomena in physics, biology or social sciences. Restricting attention to one-dimensional geometries, the asymmetric simple exclusion process (ASEP)…

统计力学 · 物理学 2015-01-06 Diana Khoromskaia , Rosemary J. Harris , Stefan Grosskinsky

The symmetric simple exclusion process (SSEP) is a paradigmatic model of classical non-equilibrium dynamics. Exact results for large deviations of particle current in the SSEP have been obtained in various settings using integrability-based…

统计力学 · 物理学 2026-05-26 Soumyabrata Saha , Sandeep Jangid , Kapil Sharma , Tridib Sadhu

We derive the non-equilibrium fluctuations of one-dimensional symmetric simple exclusion processes in contact with slowed stochastic reservoirs which are regulated by a factor $n^{-\theta}$. Depending on the range of $\theta$ we obtain…

概率论 · 数学 2018-10-12 Patrícia Gonçalves , Milton Jara , Otávio Menezes , Adriana Neumann

The symmetric simple exclusion process (SEP) is a paradigmatic model of transport, both in and out-of-equilibrium. In this model, the study of currents and their fluctuations has attracted a lot of attention. In finite systems of arbitrary…

统计力学 · 物理学 2024-11-27 Théotim Berlioz , Davide Venturelli , Aurélien Grabsch , Olivier Bénichou

Motivated by uncertainty quantification in natural transport systems, we investigate an individual-based transport process involving particles undergoing a random walk along a line of point sinks whose strengths are themselves independent…

统计力学 · 物理学 2016-10-26 Matthew J. Russell , Oliver E. Jensen , Tobias Galla

We investigate the dynamics of a quantum system coupled linearly to Gaussian white noise using functional methods. By performing the integration over the noisy field in the evolution operator, we get an equivalent non-Hermitian Hamiltonian,…

量子物理 · 物理学 2016-07-20 O. Oliveira , W. de Paula , T. Frederico , M. S. Hussein

The one-dimensional totally asymmetric simple exclusion process (TASEP) with $N$ particles on a periodic lattice of $L$ sites is an interacting particle system with hopping rates breaking detailed balance. The total time-integrated current…

统计力学 · 物理学 2015-12-01 Sylvain Prolhac

A large number of multifaceted quantum transport processes in molecular systems and physical nanosystems can be treated in terms of quantum relaxation processes which couple to one or several fluctuating environments. A thermal equilibrium…

统计力学 · 物理学 2007-05-23 Igor Goychuk , Peter Hanggi