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相关论文: Thermodynamic Bethe Ansatz and Generalised Hydrody…

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The sine-Gordon model is a paradigmatic quantum field theory that provides the low-energy effective description of many gapped 1D systems. Despite this fact, its complete thermodynamic description in all its regimes has been lacking. Here…

强关联电子 · 物理学 2024-09-27 Botond C. Nagy , Márton Kormos , Gábor Takács

Generalized Hydrodynamics is a recent theory that describes large scale transport properties of one dimensional integrable models. It is built on the (typically infinitely many) local conservation laws present in these systems, and leads to…

统计力学 · 物理学 2020-03-11 Márton Borsi , Balázs Pozsgay , Levente Pristyák

We provide a brief characterization of the main features of the homogeneous sine-Gordon models and discuss a general construction principle for colour valued S-matrices, associated to a pair of simply laced Lie algebras, which contain the…

高能物理 - 理论 · 物理学 2007-05-23 A. Fring

We, for the first time, report a first-principle proof of the equations of state used in the hydrodynamic theory for integrable systems, termed generalized hydrodynamics (GHD). The proof makes full use of the graph theoretic approach to…

统计力学 · 物理学 2019-02-20 Dinh-Long Vu , Takato Yoshimura

The sine-Gordon model captures the low-energy effective dynamics of a wealth of one-dimensional quantum systems, stimulating the experimental efforts in building a versatile quantum simulator of this field theory and fueling the parallel…

统计力学 · 物理学 2024-01-12 Alvise Bastianello

Generalized Hydrodynamics (GHD) has recently been devised as a method to solve the dynamics of integrable quantum many-body systems beyond the mean-field approximation. In its original form, a major limitation is the inability to predict…

Physical systems made of many interacting quantum particles can often be described by Euler hydrodynamic equations in the limit of long wavelengths and low frequencies. Recently such a classical hydrodynamic framework, now dubbed…

量子气体 · 物理学 2020-04-10 Paola Ruggiero , Pasquale Calabrese , Benjamin Doyon , Jerome Dubail

In this paper we evaluate the averages of conserved densities and currents associated to charges of generic spin in (1+1)-dimensional massive integrable Quantum Field Theories perturbed by the irrelevant $\mathrm{T\bar{T}}$ operator. By…

高能物理 - 理论 · 物理学 2024-07-23 Riccardo Travaglino , Michele Mazzoni , Olalla A. Castro-Alvaredo

We develop a general kinetic theory framework to describe the hydrodynamics of strongly interacting, nonequilibrium quantum systems in which integrability is weakly broken, leaving a few residual conserved quantities. This framework is…

统计力学 · 物理学 2021-03-03 Javier Lopez-Piqueres , Brayden Ware , Sarang Gopalakrishnan , Romain Vasseur

Using generalized hydrodynamics (GHD), we develop the Euler hydrodynamics of classical integrable field theory. Classical field GHD is based on a known formalism for Gibbs ensembles of classical fields, that resembles the thermodynamic…

统计力学 · 物理学 2018-07-04 Alvise Bastianello , Benjamin Doyon , Gerard Watts , Takato Yoshimura

The Drude weight characterizes ballistic transport in quantum many-body systems, yet a comprehensive understanding and exact analytical results for it remain elusive, especially in multi-component quantum gases. In this work, we leverage…

量子气体 · 物理学 2026-02-26 Zi-yang Liu , Xiangguo Yin , Yunbo Zhang , Shizhong Zhang , Xi-Wen Guan

We apply the thermodynamic Bethe Ansatz to investigate the high energy behaviour of a class of scattering matrices which have recently been proposed to describe the Homogeneous sine-Gordon models related to simply laced Lie algebras. A…

高能物理 - 理论 · 物理学 2014-11-18 O. A. Castro-Alvaredo , A. Fring , C. Korff , J. L. Miramontes

We investigate the coupled dynamics of charge and energy in interacting lattice models with dipole conservation. We formulate a generic hydrodynamic theory for this combination of fractonic constraints and numerically verify its…

量子气体 · 物理学 2022-05-31 A. G. Burchards , J. Feldmeier , A. Schuckert , M. Knap

A new supersymmetric model for electrons with generalized hopping terms and Hubbard interaction on a one-dimensional lattice is solved by means of the Bethe Ansatz. We investigate the phase diagram of this model by studying the ground state…

凝聚态物理 · 物理学 2009-10-28 Gerald Bedürftig , Holger Frahm

Describing and understanding the motion of quantum gases out of equilibrium is one of the most important modern challenges for theorists. In the groundbreaking Quantum Newton Cradle experiment [Kinoshita, Wenger and Weiss, Nature 440, 900,…

We study energy transport in the integrable $\mathbb Z_3$ parafermionic chain using the partitioning protocol. By exploiting the Bethe-ansatz solution for the thermodynamics of the system, we develop a generalized hydrodynamic description…

强关联电子 · 物理学 2018-08-29 Leonardo Mazza , Jacopo Viti , Matteo Carrega , Davide Rossini , Andrea De Luca

We revisit the exact thermodynamic description of the classical sine-Gordon field theory, a notorious integrable model. We found that existing results in the literature based on the soliton-gas picture did not correctly take into account…

统计力学 · 物理学 2023-10-04 Rebekka Koch , Alvise Bastianello

We give a pedagogical introduction to the thermodynamic Bethe ansatz, a method that allows us to describe the thermodynamics of integrable models whose spectrum is found via the (asymptotic) Bethe ansatz. We set the stage by deriving the…

高能物理 - 理论 · 物理学 2016-08-03 Stijn J. van Tongeren

Construction of a nonlinear higher-order thermo-hydrodynamics, including correlations, in the framework of a Generalized Nonequilibrium Statistical Grand-Canonical Ensemble is presented. In that way it is provided a particular formalism for…

统计力学 · 物理学 2007-05-23 Áurea R. Vasconcellos , J. Galvão Ramos , Roberto Luzzi

We provide a new hydrodynamic framework to describe out-of-equilibrium integrable systems with space-time inhomogeneous interactions. Our result builds up on the recently-introduced Generalized Hydrodynamics (GHD). The method allows to…

统计力学 · 物理学 2019-09-30 Alvise Bastianello , Vincenzo Alba , Jean Sébastien Caux
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