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Related papers: Generalised Hydrodynamics of $\mathrm{T\bar{T}}$-D…

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In this work we present a computation of the averages of conserved charge densities and currents of (1+1)-dimensional Integrable Quantum Field Theories in Generalised Gibbs Ensembles. Our approach is based on the quasi-particle description…

High Energy Physics - Theory · Physics 2024-02-28 Michele Mazzoni , Riccardo Travaglino , Olalla A. Castro-Alvaredo

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…

Statistical Mechanics · Physics 2020-03-11 Márton Borsi , Balázs Pozsgay , Levente Pristyák

We introduce an extension of the generalised $T\bar{T}$-deformation described by Smirnov-Zamolodchikov, to include the complete set of extensive charges. We show that this gives deformations of S-matrices beyond CDD factors, generating…

High Energy Physics - Theory · Physics 2022-09-28 Benjamin Doyon , Joseph Durnin , Takato Yoshimura

We set up a hydrodynamic description of the non-equilibrium dynamics of sine-Gordon quantum field theory for generic coupling. It is built upon an explicit form of the Bethe Ansatz description of general thermodynamic states, with the…

Strongly Correlated Electrons · Physics 2024-06-05 B. C. Nagy , G. Takács , M. Kormos

We study non-homogeneous quantum quenches in a one-dimensional gas of repulsive spin-$1/2$ fermions, as described by the integrable Yang-Gaudin model. By means of generalized hydrodynamics (GHD), we analyze in detail the real-time evolution…

Statistical Mechanics · Physics 2022-11-01 Stefano Scopa , Pasquale Calabrese , Lorenzo Piroli

We study the nonequilibrium dynamics of random spin chains that remain integrable (i.e., solvable via Bethe ansatz): because of correlations in the disorder, these systems escape localization and feature ballistically spreading…

Disordered Systems and Neural Networks · Physics 2019-05-22 Utkarsh Agrawal , Sarang Gopalakrishnan , Romain Vasseur

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…

Statistical Mechanics · Physics 2019-02-20 Dinh-Long Vu , Takato Yoshimura

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…

We present steps towards an ab initio derivation of generalised hydrodynamics in quantum integrable models, starting from the Bethe wave functions, and explained on the example of the repulsive Lieb-Liniger model. This includes an…

Statistical Mechanics · Physics 2026-04-30 Benjamin Doyon , Friedrich Hübner

We consider the most general set of integrable deformations extending the $T\bar{T}$ deformation of two-dimensional relativistic QFTs. They are CDD deformations of the theory's factorised S-matrix related to the higher-spin conserved…

High Energy Physics - Theory · Physics 2020-05-27 Guzmán Hernández-Chifflet , Stefano Negro , Alessandro Sfondrini

We apply the theory of Quantum Generalized Hydrodynamics (QGHD) introduced in [Phys. Rev. Lett. 124, 140603 (2020)] to derive asymptotically exact results for the density fluctuations and the entanglement entropy of a one-dimensional…

Quantum Gases · Physics 2021-12-21 Paola Ruggiero , Pasquale Calabrese , Benjamin Doyon , Jérôme Dubail

We study the Thermodynamic Bethe Ansatz (TBA) equations for pure $T\bar{T}$ perturbations of some simple integrable quantum field theories with a single bosonic or fermionic particle, in particular the massive sinh-Gordon model and its…

High Energy Physics - Theory · Physics 2022-09-14 André LeClair

This article shows in detail the computations made for the poster presented at the Symposium "Frontiers of Fundamental Physics" in July 2014. As was shown in a previous publication, a quantum gravity formulation exists on the basis of…

General Relativity and Quantum Cosmology · Physics 2015-01-05 Pierre-André Mandrin

Generalized Hydrodynamics is a recent theory that describes the large scale transport properties of one dimensional integrable models. At the heart of this theory lies an exact quantum-classical correspondence, which states that the flows…

Statistical Mechanics · Physics 2020-08-19 Balázs Pozsgay

We introduce and study a class of two-dimensional integrable quantum field theories that carry an internal $\mathbb{Z}_n$ structure. These models extend factorised scattering beyond the conventional framework, featuring both the usual…

High Energy Physics - Theory · Physics 2025-11-25 Nicolò Brizio , Tommaso Morone , Nicolò Primi , Roberto Tateo

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…

Strongly Correlated Electrons · Physics 2018-08-29 Leonardo Mazza , Jacopo Viti , Matteo Carrega , Davide Rossini , Andrea De Luca

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…

Statistical Mechanics · Physics 2021-03-03 Javier Lopez-Piqueres , Brayden Ware , Sarang Gopalakrishnan , Romain Vasseur

Generalized hydrodynamics is a framework to study the large scale dynamics of integrable models, special fine-tuned one-dimensional many-body systems that possess an infinite number of local conserved quantities. Unlike classical models,…

Statistical Mechanics · Physics 2025-09-26 Friedrich Hübner

Quantum integrable systems, such as the interacting Bose gas in one dimension and the XXZ quantum spin chain, have an extensive number of local conserved quantities that endow them with exotic thermalization and transport properties. We…

Statistical Mechanics · Physics 2018-02-21 Vir B. Bulchandani , Romain Vasseur , Christoph Karrasch , Joel E. Moore

It was noticed many years ago, in the framework of massless RG flows, that the irrelevant composite operator $T \bar{T}$, built with the components of the energy-momentum tensor, enjoys very special properties in 2D quantum field theories,…

High Energy Physics - Theory · Physics 2016-11-23 Andrea Cavaglià , Stefano Negro , István M. Szécsényi , Roberto Tateo
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