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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 give a pedagogical introduction to the Generalized Hydrodynamic approach to inhomogeneous quenches in integrable many-body quantum systems. We review recent applications of the theory, focusing in particular on two classes of problems:…

Statistical Mechanics · Physics 2021-11-24 Vincenzo Alba , Bruno Bertini , Maurizio Fagotti , Lorenzo Piroli , Paola Ruggiero

We study impurities in integrable models from the viewpoint of generalized hydrodynamics (GHD). An impurity can be thought of as a boundary condition for the GHD equation, relating the state on the left and right side. We find that in…

Statistical Mechanics · Physics 2024-06-27 Friedrich Hübner

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 circuits make it possible to simulate the continuous-time dynamics of a many-body Hamiltonian by implementing discrete Trotter steps of duration $\tau$. However, when $\tau$ is sufficiently large, the discrete dynamics exhibit…

Statistical Mechanics · Physics 2025-05-05 Friedrich Hübner , Eric Vernier , Lorenzo Piroli

Out-of-equilibrium fermionic quantum impurity models (QIM), describing a small interacting system coupled to a continuous fermionic bath, play an important role in condensed matter physics. Solving such models is a computationally demanding…

Strongly Correlated Electrons · Physics 2025-11-10 Julian Thoenniss , Ilya Vilkoviskiy , Dmitry A. Abanin

We review research on a number of situations where a quantum impurity or a physical boundary has an interesting effect on entanglement entropy. Our focus is mainly on impurity entanglement as it occurs in one dimensional systems with a…

Statistical Mechanics · Physics 2010-05-07 Ian Affleck , Nicolas Laflorencie , Erik S. Sorensen

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

A Luttinger Liquid coupled to a quantum impurity describes a large number of physical systems. The Hamiltonian consists of left- and right-moving fermions interacting among themselves via a density-density coupling and scattering off a…

Strongly Correlated Electrons · Physics 2019-03-13 Colin Rylands , Natan Andrei

Quantum impurity models play an important role in many areas of physics from condensed matter to AMO and quantum information. They are important models for many physical systems but also provide key insights to understanding much more…

Strongly Correlated Electrons · Physics 2018-04-04 Colin Rylands , Natan Andrei

Bipartite entanglement entropy is one of the most useful characterizations of universal properties in a many-body quantum system. Far from equilibrium, there exist two highly effective theories describing its dynamics -- the quasiparticle…

Statistical Mechanics · Physics 2025-08-20 Shachar Fraenkel , Colin Rylands

We consider a generic model for interacting waveguide QED systems, where photons in a coupled-cavity array localize around atomic impurities while simultaneously interacting through local Kerr nonlinearities. This scenario appears naturally…

Quantum Physics · Physics 2026-03-11 Adrian Paul Misselwitz , Jacquelin Luneau , Peter Rabl

We investigate the out-of-equilibrium properties of a simple quantum impurity model, the interacting resonant level model (IRLM). We focus on the scaling regime, where the bandwidth of the fermions in the leads is larger than all the other…

Strongly Correlated Electrons · Physics 2017-12-06 Kemal Bidzhiev , Grégoire Misguich

The dynamics of strongly interacting many-body quantum systems are notoriously complex and difficult to simulate. A new theory, generalized hydrodynamics (GHD), promises to efficiently accomplish such simulations for nearly-integrable…

Quantum Gases · Physics 2021-09-09 Neel Malvania , Yicheng Zhang , Yuan Le , Jerome Dubail , Marcos Rigol , David S. Weiss

The generalized hydrodynamic (GHD) approach has been extremely successful in describing the out-of-equilibrium properties of a great variety of integrable many-body quantum systems. It naturally extracts the large-scale dynamical degrees of…

High Energy Physics - Theory · Physics 2021-08-30 Olalla A. Castro-Alvaredo , Cecilia De Fazio , Benjamin Doyon , Francesco Ravanini

We construct an integrable Hubbard model with impurity site containing spin and charge degrees of freedom. The Bethe ansatz equations for the Hamiltonian are derived and two alternative sets of equations for the thermodynamical properties.…

Statistical Mechanics · Physics 2019-07-26 Yahya Öz , Andreas Klümper

We consider the transport properties of multiple-particle quantum states in a class of one-dimensional systems with a single quantum impurity. In these systems, the local interaction at the quantum impurity induces strong and non-trivial…

Quantum Physics · Physics 2008-02-13 Jung-Tsung Shen , Shanhui Fan

Generalized hydrodynamics (GHD) is a recent theoretical approach that is becoming a go-to tool for characterizing out-of-equilibrium phenomena in integrable and near-integrable quantum many-body systems. Here, we benchmark its performance…

Quantum Gases · Physics 2024-04-23 R. S. Watson , S. A. Simmons , K. V. Kheruntsyan

One-dimensional integrable and quasi-integrable systems display, on macroscopic scales, a universal form of transport known as Generalized Hydrodynamics (GHD). In its standard Euler-scale formulation, GHD mirrors the equations of a…

Statistical Mechanics · Physics 2026-01-23 Andrew Urilyon , Leonardo Biagetti , Jitendra Kethepalli , Jacopo De Nardis

A versatile and efficient variational approach is developed to solve in- and out-of-equilibrium problems of generic quantum spin-impurity systems. Employing the discrete symmetry hidden in spin-impurity models, we present a new canonical…

Strongly Correlated Electrons · Physics 2018-07-13 Yuto Ashida , Tao Shi , Mari Carmen Bañuls , J. Ignacio Cirac , Eugene Demler
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