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Hydrodynamic behavior is a general feature of interacting systems with many degrees of freedom constrained by conservation laws. To date hydrodynamic scaling in relativistic quantum systems has been observed in many high energy settings,…

High Energy Physics - Phenomenology · Physics 2009-11-07 Luis M. A. Bettencourt , Fred Cooper , Karen Pao

The equations of relativistic hydrodynamics are transformed so that steps forward in time preserves local simultaneity. In these variables, the space-time coordinates of neighboring points on the mesh are simultaneous according to co-moving…

Nuclear Theory · Physics 2008-11-26 Scott Pratt

Although local Hamiltonians exhibit local time dynamics, this locality is not explicit in the Schr\"{o}dinger picture in the sense that the wavefunction amplitudes do not obey a local equation of motion. We show that geometric locality can…

Quantum Physics · Physics 2024-03-27 Kevin Slagle

Recovering an unknown Hamiltonian from measurements is an increasingly important task for certification of noisy quantum devices and simulators. Recent works have succeeded in recovering the Hamiltonian of an isolated quantum system with…

Quantum Physics · Physics 2019-01-24 Eyal Bairey , Itai Arad , Netanel H. Lindner

"Generalized Hydrodynamics" (GHD) stands for a model that describes one-dimensional \textit{integrable} systems in quantum physics, such as ultra-cold atoms or spin chains. Mathematically, GHD corresponds to nonlinear equations of kinetic…

Computational Physics · Physics 2023-11-21 Frederik Møller , Nicolas Besse , Igor E. Mazets , Hans-Peter Stimming , Norbert J. Mauser

Generalized hydrodynamics (GHD) is a large-scale theory for the dynamics of many-body integrable systems. It consists of an infinite set of conservation laws for quasi-particles traveling with effective ("dressed") velocities that depend on…

Statistical Mechanics · Physics 2018-01-19 Benjamin Doyon , Herbert Spohn , Takato Yoshimura

Quantum-disordered models provide a versatile platform to explore the emergence of quantum excitations in many-body systems. The engineering of spin models at the atomic scale with scanning tunneling microscopy and the local imaging of…

Mesoscale and Nanoscale Physics · Physics 2023-08-23 Netta Karjalainen , Zina Lippo , Guangze Chen , Rouven Koch , Adolfo O. Fumega , Jose L. Lado

Inspired by spatiotemporal observations from satellites of the trajectories of objects drifting near the surface of the ocean in the National Oceanic and Atmospheric Administration's `Global Drifter Program', this paper develops data-driven…

Chaotic Dynamics · Physics 2018-10-19 François Gay-Balmaz , Darryl D. Holm

Beginning from the semiclassical Hamiltonian, the Fermi pressure and Bohm potential for the quantum hydrodynamics application (QHD) at finite temperature are consistently derived in the framework of the local density approximation with the…

Plasma Physics · Physics 2018-04-18 Zh. A. Moldabekov , M. Bonitz , T. S. Ramazanov

We study the quench dynamics in continuous relativistic quantum field theory, more specifically the locality properties of the large time stationary state. After a quantum quench in a one-dimensional integrable model, the expectation values…

Statistical Mechanics · Physics 2017-02-16 Alvise Bastianello , Spyros Sotiriadis

Recent works have shown that generic local Hamiltonians can be efficiently inferred from local measurements performed on their eigenstates or thermal states. Realistic quantum systems are often affected by dissipation and decoherence due to…

Quantum Physics · Physics 2020-03-25 Eyal Bairey , Chu Guo , Dario Poletti , Netanel H. Lindner , Itai Arad

Nonlocality is a defining feature of quantum mechanics and has long served as a key indicator of quantum resources since the formulation of Bell's inequalities. Identifying the contribution of nonlocality to extractable work remains a…

Quantum Physics · Physics 2025-12-17 B. Vigneshwar , R. Sankaranarayanan

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

We derive a necessary and sufficient condition for the thermalization of a local observable in a closed quantum system which offers an alternative explanation, independent of the eigenstate thermalization hypothesis, for the thermalization…

Statistical Mechanics · Physics 2014-04-11 J. Sirker , N. P. Konstantinidis , F. Andraschko , N. Sedlmayr

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…

Quantum Gases · Physics 2020-04-10 Paola Ruggiero , Pasquale Calabrese , Benjamin Doyon , Jerome Dubail

We show that whenever the Gibbs state of a quantum spin system satisfies decay of correlations, then it is stable, in the sense that local perturbations affect the Gibbs state only locally, and it satisfies local indistinguishability, i.e.…

Mathematical Physics · Physics 2025-04-07 Ángela Capel , Massimo Moscolari , Stefan Teufel , Tom Wessel

Motivated by the study of area laws for the entanglement entropy of gapped ground states of quantum spin systems and their stability, we prove that the unitary cocycle generated by a local time-dependent Hamiltonian can be approximated, for…

Mathematical Physics · Physics 2015-08-25 Sven Bachmann , Andreas Bluhm

We consider quantum quenches in integrable models. We argue that the behaviour of local observables at late times after the quench is given by their expectation values with respect to a single representative Hamiltonian eigenstate. This can…

Statistical Mechanics · Physics 2013-07-29 Jean-Sebastien Caux , Fabian H. L. Essler

Predicting observables in equilibrium states is a central yet notoriously hard question in quantum many-body systems. In the physically relevant thermodynamic limit, certain mathematical formulations of this task have even been shown to…

Quantum Physics · Physics 2025-08-15 Hamza Fawzi , Omar Fawzi , Samuel O. Scalet

We demonstrate, by providing two specific examples, that the local differential thermodynamic relations used as educated guesses in relativistic hydrodynamics with spin, do not hold even at global thermodynamic equilibrium. We show, by…

Nuclear Theory · Physics 2026-05-26 Francesco Becattini , Rajeev Singh