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The past few years have witnessed the development of a comprehensive theory to describe integrable systems out of equilibrium, in which the Bethe ansatz formalism has been tailored to address specific problems arising in this context. While…

Statistical Mechanics · Physics 2019-09-30 Ranjan Modak , Lorenzo Piroli , Pasquale Calabrese

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

Building on recent advances in quantum algorithms which measure and reuse qubits and in efficient classical simulation leveraging projective measurements, we extend these frameworks to real-time dynamics of quantum many-body systems…

Quantum Physics · Physics 2025-12-08 Bo Xiao , Benedikt Kloss , E. Miles Stoudenmire

The spreading of entanglement in out-of-equilibrium quantum systems is currently at the centre of intense interdisciplinary research efforts involving communities with interests ranging from holography to quantum information. Here we…

Statistical Mechanics · Physics 2019-05-21 Bruno Bertini , Pavel Kos , Tomaz Prosen

We investigate the crossover of the entanglement entropy towards its thermal value in nearly integrable systems. We employ equation of motion techniques to study the entanglement dynamics in a lattice model of weakly interacting spinless…

Statistical Mechanics · Physics 2020-09-10 Bruno Bertini , Pasquale Calabrese

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 collective dynamics of liquid Gallium close to the melting point has been studied using Inelastic X-ray Scattering to probe lengthscales smaller than the size of the first coordination shell. %(momentum transfers, $Q$, $>$15 nm$^{-1}$).…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Scopigno , R. Di Leonardo , L. Comez , A. Q. R. Baron , D. Fioretto , G. Ruocco

Extending the famous Model B for the time evolution of a liquid mixture, we derive an approximate expression for the mobility matrix that couples the different mixture components. This approach is based on a single component fluid with…

Statistical Mechanics · Physics 2023-06-21 Maryam Akaberian , Filipe C Thewes , Peter Sollich , Matthias Krüger

Heterogeneous multiscale methods (HMM) combine molecular accuracy of particle-based simulations with the computational efficiency of continuum descriptions to model flow in soft matter liquids. In these schemes, molecular simulations…

The assumption of local relaxation in inhomogeneous quantum quenches allows to compute asymptotically the expectation value of local observables via hydrodynamic arguments known as generalized hydrodynamics (GHD). In this work we address…

Statistical Mechanics · Physics 2023-07-12 Saverio Bocini

The hydrodynamic equation governing the homogeneous time evolution of the temperature in a model of confined granular gas is studied by means of the Enskog equation. The existence of a normal solution of the kinetic equation is assumed as a…

Statistical Mechanics · Physics 2015-06-18 J. Javier Brey , P. Maynar , M. I. García de Soria , V. Buzón

Generalized hydrodynamics (GHD) was proposed recently as a formulation of hydrodynamics for integrable systems, taking into account infinitely-many conservation laws. In this note we further develop the theory in various directions. By…

Statistical Mechanics · Physics 2017-05-24 Benjamin Doyon , Takato Yoshimura

The simple algorithm for the simulation and visualization of non relativistic quantum dynamics is proposed that is based on a collective behavior of classical particles. Any quantum particle is represented as the swarm of its classical…

Quantum Physics · Physics 2007-05-23 Yuri Ozhigov

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…

Statistical Mechanics · Physics 2026-05-11 Angelo Russotto , Filiberto Ares , Pasquale Calabrese , Vincenzo Alba

In this paper we explicate a method of magneto quantum hydrodynamics (MQHD) for the study of the quantum evolution of a system of spinning fermions in an external electromagnetic field. The fundamental equations of microscopic quantum…

Plasma Physics · Physics 2014-02-20 Mariya Ivanovna Trukhanova

The connection between entanglement dynamics and non-equilibrium statistics in isolated many-body quantum systems has been established both theoretically and experimentally. Many-Body Localization (MBL), a phenomenon where interacting…

Quantum Physics · Physics 2025-07-04 Peyman Azodi , Herschel A. Rabitz

Transport and mixing of gas species are of particular interest in planetary environments, where interactions among multiple species can occur within confined or porous media. In this work, we present a novel Smoothed Particle Hydrodynamics…

Earth and Planetary Astrophysics · Physics 2025-09-09 Luca Maggioni , Matteo Teodori , Gianfranco Magni , Michelangelo Formisano , Maria Cristina De Sanctis , Francesca Altieri

We develop a hybrid semiclassical method to study the time evolution of one dimensional quantum systems in and out of equilibrium. Our method handles internal degrees of freedom completely quantum mechanically by a modified time evolving…

Statistical Mechanics · Physics 2019-03-20 Catalin Pascu Moca , Márton Kormos , Gergely Zaránd

We report on the experimental observation of scaling in the time evolution following a sudden quench into the vicinity of a quantum critical point. The experimental system, a two-component Bose gas with coherent exchange between the…

We use molecular dynamics simulations to study the behavior of a compressible Lennard-Jones fluid in simple shear flow in a two-dimensional nanochannel. The system is equilibrated in the fluid phase close to the triple point at which gas,…

Soft Condensed Matter · Physics 2017-03-31 Madhu Priya , Yitzhak Rabin