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We show that hydrodynamic diffusion is generically present in many-body interacting integrable models. We extend the recently developed generalised hydrodynamic (GHD) to include terms of Navier-Stokes type which lead to positive entropy…

Statistical Mechanics · Physics 2018-10-19 Jacopo De Nardis , Denis Bernard , Benjamin Doyon

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

We study transport dynamics of free fermions subject to the external monitoring of a conserved charge over an extensive region. Focusing on bipartition protocols, we consider monitoring the total particle number over half of the system, and…

Statistical Mechanics · Physics 2026-04-08 Pablo Bayona-Pena , Michele Mazzoni , Lorenzo Piroli

During the past decade a number of attempts to formulate a continuum description of complex states of matter have been proposed to circumvent more cumbersome many-body and simulation methods. Typically these have been quantum systems (e.g.,…

Fluid Dynamics · Physics 2020-04-22 James Dufty , Kai Luo , Jeffrey Wrighton

We investigate the non-equilibrium dynamics of the symmetry-resolved R\'enyi entropies in a one-dimensional gas of non-interacting spinless fermions by means of quantum generalised hydrodynamics, which recently allowed to obtain very…

Statistical Mechanics · Physics 2022-08-23 Stefano Scopa , Dávid X. Horváth

In this thesis, we explore various aspects of equilibrium and nonequilibrium thermodynamics for ultracold atomic gases, with a focus on the experimentally realisable one-dimensional (1D) Bose gas. This is a paradigmatic example of an…

Quantum Gases · Physics 2024-10-23 Raymon S. Watson

This article gives an overview of recent theoretical and experimental findings concerning the hydrodynamic interaction between liquid-embedded particles in various confined geometries. A simple unifying description emerges, which accounts…

Soft Condensed Matter · Physics 2009-04-12 Haim Diamant

Confined granular fluids, placed in a shallow box that is vibrated vertically, can achieve homogeneous stationary states thanks to energy injection mechanisms that take place throughout the system. These states can be stable even at high…

Soft Condensed Matter · Physics 2015-06-12 Ricardo Brito , Dino Risso , Rodrigo Soto

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 develop a novel model of the magnetized spin-1 Bose-Einstein condensate (BEC) of neutral atoms, using the method of many-particle quantum hydrodynamic (QHD) and propose an original derivation of the system of continual equations. We…

Quantum Gases · Physics 2021-01-12 Mariya Iv. Trukhanova , Yuri N. Obukhov

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 present an open-source Matlab framework, titled iFluid, for simulating the dynamics of integrable models using the theory of generalized hydrodynamics (GHD). The framework provides an intuitive interface, enabling users to define and…

Statistical Mechanics · Physics 2020-03-18 Frederik S. Møller , Jörg Schmiedmayer

Upon breaking the integrability, the equations of generalized hydrodynamics (GHD) are supplemented by a Boltzmann collision term. Such terms are typically complicated and stem from a perturbative treatment of integrability-breaking terms in…

Statistical Mechanics · Physics 2026-03-03 Saikat Santra , Maciej Łebek , Miłosz Panfil

We derive a non-equilibrium finite-temperature kinetic theory for a binary mixture of two interacting atomic Bose-Einstein condensates and use it to explore the degree of hydrodynamicity attainable in realistic experimental geometries.…

Quantum Gases · Physics 2015-12-08 M. J. Edmonds , K. L. Lee , N. P. Proukakis

We consider the 1d interacting Bose gas in the presence of time-dependent and spatially inhomogeneous contact interactions. Within its attractive phase, the gas allows for bound states of an arbitrary number of particles, which are…

Quantum Gases · Physics 2021-04-26 Rebekka Koch , Alvise Bastianello , Jean-Sébastien Caux

The effect of hydrodynamic interactions on the non-equilibrium stochastic dynamics of particles -- arising from the conservation of momentum in the fluid medium -- is examined in the context of the relationship between fluctuations,…

Statistical Mechanics · Physics 2025-05-02 Ramin Golestanian

We obtain the superfluid hydrodynamic equations of a multi-component Bose gas with short-ranged interactions at zero temperature under the local equilibrium assumption and show that the quantum pressure is generally present in the…

Quantum Gases · Physics 2023-06-02 F. Zhang , L. Yin

A new framework is introduced for constructing interpretable and truly reliable reduced models for multiscale problems in situations without scale separation. Hydrodynamic approximation to the kinetic equation is used as an example to…

Computational Physics · Physics 2019-10-31 Jiequn Han , Chao Ma , Zheng Ma , Weinan E

We derive a general energy balance equation for a self-interacting boson gas at vanishing temperature in a curved spacetime. This represents a first step towards a formulation of the first law of thermodynamics for a scalar field in general…

General Relativity and Quantum Cosmology · Physics 2021-03-04 Tonatiuh Matos , Ana Avilez , Tula Bernal , Pierre-Henri Chavanis

Long wavelength dynamics of 1D Bose gases with repulsive contact interactions can be captured by Generalized HydroDynamics (GHD) which predicts the evolution of the local rapidity distribution. The latter corresponds to the momentum…

Quantum Gases · Physics 2026-01-19 Léa Dubois , Guillaume Thémèze , Jérôme Dubail , Isabelle Bouchoule