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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…

High Energy Physics - Theory · Physics 2024-07-23 Riccardo Travaglino , Michele Mazzoni , Olalla A. Castro-Alvaredo

We review the recent theoretical and experimental progress regarding the Generalized Hydrodynamics (GHD) behavior of the one-dimensional Bose gas with contact repulsive interactions, also known as the Lieb-Liniger gas. In the first section,…

Quantum Gases · Physics 2022-01-14 Isabelle Bouchoule , Jérôme Dubail

We study the evolution of a classical harmonic chain with nearest-neighbor interactions starting from domain wall initial conditions. The initial state is taken to be either a product of two Gibbs Ensembles (GEs) with unequal temperatures…

Statistical Mechanics · Physics 2024-09-25 Saurav Pandey , Abhishek Dhar , Anupam Kundu

The formation of dispersive shock waves in the one-dimensional Bose gas represents a limitation of Generalized Hydrodynamics (GHD) due to the coarse-grained nature of the theory. Nevertheless, GHD accurately captures the long wavelength…

Statistical Mechanics · Physics 2025-02-11 Frederik Møller , Philipp Schüttelkopf , Jörg Schmiedmayer , Sebastian Erne

Generalised hydrodynamics (GHD) is a recent and powerful framework to study many-body integrable systems, quantum or classical, out of equilibrium. It has been applied to several models, from the delta Bose gas to the XXZ spin chain, the…

Pattern Formation and Solitons · Physics 2025-03-05 Thibault Bonnemain , Benjamin Doyon

The generalized hydrodynamics (GHD) formalism has become an invaluable tool for the study of spatially inhomogeneous quantum quenches in (1+1)-dimensional integrable models. The main paradigm of the GHD is that at late times local…

Statistical Mechanics · Physics 2020-09-24 Axel Cortés Cubero

We present a method that generalises the standard mean field theory of correlated lattice bosons to include amplitude and phase fluctuations of the $U(1)$ field that induces onsite particle number mixing. This arises formally from an…

Strongly Correlated Electrons · Physics 2018-07-19 Abhishek Joshi , Pinaki Majumdar

The thermodynamic Bethe ansatz approach to the study of integrable quantum field theories was introduced in the early 90s. Since then it has been known that the thermodynamic Bethe ansatz equations can be recast in the form of $Y$-systems.…

High Energy Physics - Theory · Physics 2022-10-03 Olalla A. Castro-Alvaredo

Dynamical equations in generalized hydrodynamics (GHD), a hydrodynamic theory for integrable quantum systems at the Euler scale, take a rather simple form, even though an infinite number of conserved charges are taken into account. We show…

Statistical Mechanics · Physics 2018-01-31 Benjamin Doyon , Takato Yoshimura , Jean-Sébastien Caux

While the generalized Langevin equation (GLE) is a powerful tool to understand the behavior of complex dissipative systems, driving by external fields renders standard GLE construction workflows invalid. Filtering approaches that separate…

Statistical Mechanics · Physics 2026-03-03 Thomas Sayer , Andrés Montoya-Castillo

We take the first steps towards identifying the hydrodynamics of group field theories (GFTs) and relating this hydrodynamic regime to classical geometrodynamics of continuum space. We apply to GFT mean field theory techniques borrowed from…

General Relativity and Quantum Cosmology · Physics 2011-02-18 Daniele Oriti , Lorenzo Sindoni

We review recent progress in understanding nearly integrable models within the framework of generalized hydrodynamics (GHD). Integrable systems have infinitely many conserved quantities and stable quasiparticle excitations: when…

Statistical Mechanics · Physics 2021-11-17 Alvise Bastianello , Andrea De Luca , Romain Vasseur

We develop an effective field theory for dissipative fluids which governs the dynamics of long-lived gapless modes associated with conserved quantities. The resulting theory gives a path integral formulation of fluctuating hydrodynamics…

High Energy Physics - Theory · Physics 2017-01-30 Michael Crossley , Paolo Glorioso , Hong Liu

We establish the explicit correspondence between the theory of soliton gases in classical integrable dispersive hydrodynamics, and generalized hydrodynamics (GHD), the hydrodynamic theory for many-body quantum and classical integrable…

Pattern Formation and Solitons · Physics 2022-08-31 Thibault Bonnemain , Benjamin Doyon , Gennady A. El

The generalized hydrodynamics (GHD) equation is the equivalent of the Euler equations of hydrodynamics for integrable models. Systems of hyperbolic equations such as the Euler equations usually develop shocks and are plagued by problems of…

Mathematical Physics · Physics 2024-12-24 Friedrich Hübner , Benjamin Doyon

Our review covers microscopic foundations of generalized hydrodynamics (GHD). As one generic approach we develop form factor expansions, for ground states and generalized Gibbs ensembles (GGE). In the latter case the so obtained results are…

Statistical Mechanics · Physics 2022-01-03 Axel Cortés Cubero , Takato Yoshimura , Herbert Spohn

In conventional fluids, it is well known that Euler-scale equations are plagued by ambiguities and instabilities. Smooth initial conditions may develop shocks, and weak solutions, such as for domain wall initial conditions (the paradigmatic…

Statistical Mechanics · Physics 2025-06-05 Friedrich Hübner , Benjamin Doyon

Bistable systems present two degenerate metastable configurations separated by an energy barrier. Thermal or quantum fluctuations can promote the transition between the configurations at a rate which depends on the dynamical properties of…

Statistical Mechanics · Physics 2018-07-23 L. Stella , H. Ness , C. D. Lorenz , L. Kantorovich

Quantum embedding approaches involve the self-consistent optimization of a local fragment of a strongly correlated system, entangled with the wider environment. The `energy-weighted' density matrix embedding theory (EwDMET) was established…

Strongly Correlated Electrons · Physics 2021-02-23 P. V. Sriluckshmy , Max Nusspickel , Edoardo Fertitta , George H. Booth

We suggest that collective oscillation frequencies of cold trapped gases can be used to test predictions from quantum many-body physics. Our motivation lies both in rigid experimental tests of theoretical calculations and a possible…

Quantum Gases · Physics 2011-11-24 Igor Boettcher , Stefan Floerchinger , Christof Wetterich