Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
arXiv:2104.00656 · doi:10.1088/1742-5468/ac257d
Abstract
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: bipartitioning protocols and trap quenches, which represent two prototypical examples of broken translational symmetry in either the system initial state or post-quench Hamiltonian. We report on exact results that have been obtained for generic time-dependent correlation functions and entanglement evolution, and discuss in detail the range of applicability of the theory. Finally, we present some open questions and suggest perspectives on possible future directions.
arXiv comment46 pages, 13 figures. To appear in JSTAT special issue "Emergent Hydrodynamics in Integrable Many-body Systems"; v2 minor revision. As appears in JSTAT special issue "Emergent Hydrodynamics in Integrable Many-body Systems"
References in corpus (255)
- Many-Body Physics with Ultracold Gases
- The density-matrix renormalization group in the age of matrix product states
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Area laws for the entanglement entropy - a review
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Quantum many-body systems out of equilibrium
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- Time-dependence of correlation functions following a quantum quench
- Measuring entanglement entropy through the interference of quantum many-body twins
- Quantum thermalization through entanglement in an isolated many-body system
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Exploring the many-body localization transition in two dimensions
- Light-cone-like spreading of correlations in a quantum many-body system
- Quantum Inverse Scattering Method and Correlation Functions
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Quantum entanglement in condensed matter systems
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Quantum Quenches in Extended Systems
- Experimental Observation of a Generalized Gibbs Ensemble
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Time evolution of local observables after quenching to an integrable model
- Realization of an Excited, Strongly-Correlated Quantum Gas Phase
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Complete Generalized Gibbs Ensemble in an interacting Theory
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Microscopic observation of magnon bound states and their dynamics
- Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
- A one-dimensional liquid of fermions with tunable spin
- Finite-temperature transport in one-dimensional quantum lattice models
- Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Generalized Thermalization in an Integrable Lattice System
- Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Generalized HydroDynamics on an Atom Chip
- Hydrodynamic Diffusion in Integrable Systems
- Quasilocal charges in integrable lattice systems
- Reduced Density Matrix after a Quantum Quench
- Mixed-state entanglement from local randomized measurements
- Spin diffusion from an inhomogeneous quench in an integrable system
- Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}
- Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
- Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
- Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
- Spin transport in a tunable Heisenberg model realized with ultracold atoms
- Soliton gases and generalized hydrodynamics
- Real-time dynamics in spin-1/2 chains with adaptive time-dependent DMRG
- Simulating quantum many-body dynamics on a current digital quantum computer
- Entanglement dynamics after quantum quenches in generic integrable systems
- Yang-Yang thermodynamics on an atom chip
- Families of quasi-local conservation laws and quantum spin transport
- Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
- Solvable Hydrodynamics of Quantum Integrable Systems
- Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases
- Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
- Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
- Diffusion in generalized hydrodynamics and quasiparticle scattering
- Transport in the XX chain at zero temperature: Emergence of flat magnetization profiles
- Large-scale description of interacting one-dimensional Bose gases: generalized hydrodynamics supersedes conventional hydrodynamics
- Microscopic origin of ideal conductivity in integrable quantum models
- The Quench Action
- Conformal field theory out of equilibrium: a review
- What is an integrable quench?
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Lecture notes on Generalised Hydrodynamics
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Infinite Symmetry in the Quantum Hall Effect
- Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
- Analytic solution of the Domain Wall non-equilibrium stationary state
- Full counting statistics in a propagating quantum front and random matrix spectra
- Energy flow in non-equilibrium conformal field theory
- Generalized hydrodynamics in strongly interacting 1D Bose gases
- A note on generalized hydrodynamics: inhomogeneous fields and other concepts
- Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
- Dynamics of hard rods with initial domain wall state
- Quantum Generalized Hydrodynamics
- Fermions in the Lowest Landau Level: Bosonization, Algebra, Droplets, Chiral Boson
- Low temperature relaxational dynamics of the Ising chain in a transverse field
- Entanglement negativity in the harmonic chain out of equilibrium
- Form factor approach to dynamical correlation functions in critical models
- Inhomogeneous field theory inside the arctic circle
- Non-equilibrium spin transport in integrable spin chains: persistent currents and emergence of magnetic domains
- Generalized hydrodynamics with space-time inhomogeneous interactions
- Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
- Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- Low temperature spin diffusion in the one-dimensional quantum nonlinear -model
- Exact thermalization dynamics in the "Rule 54" Quantum Cellular Automaton
- Observation of Dynamical Fermionization
- Universality in the full counting statistics of trapped fermions
- Anomalous spin diffusion in one-dimensional antiferromagnets
- Multi-particle bound state formation following a quantum quench to the one-dimensional Bose gas with attractive interactions
- Quantum Quenches in an XXZ Spin Chain from a Spatially Inhomogeneous Initial State
- Logarithmic current fluctuations in non-equilibrium quantum spin chains
- Non-equilibrium steady states in the quantum XXZ spin chain
- Determination of the Nonequilibrium Steady State Emerging from a Defect
- Spreading of correlations in Markovian open quantum systems
- Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
- Inhomogeneous quenches in a fermionic chain: exact results
- Quench action and Renyi entropies in integrable systems
- Extension of the Generalized Hydrodynamics to the Dimensional Crossover Regime
- Non-equilibrium thermal transport in the quantum Ising chain
- Generalised hydrodynamics of the classical Toda system
- Exact steady states for quantum quenches in integrable Heisenberg spin chains
- Nonequilibrium thermal transport and its relation to linear response
- Exact large-scale correlations in integrable systems out of equilibrium
- Non-equilibrium steady-states in conformal field theory
- Non-equilibrium steady states in the Klein-Gordon theory
- Expectation Values in the Lieb-Liniger Bose Gas
- Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
- Anomalous Hydrodynamics of Two-Dimensional Vortex Fluid
- Generalized hydrodynamics of classical integrable field theory: the sinh-Gordon model
- Quantum quench from a thermal tensor state: boundary effects and generalized Gibbs ensemble
- String-charge duality in integrable lattice models
- Entanglement evolution and generalised hydrodynamics: interacting integrable systems
- Dynamical Quasicondensation of Hard-Core Bosons at Finite Momenta
- Superdiffusion from emergent classical solitons in quantum spin chains
- Inhomogeneous Quantum Quenches
- Entanglement spreading after a geometric quench in quantum spin chains
- Kardar-Parisi-Zhang universality from soft gauge modes
- Dynamics of the spin-1/2 Heisenberg chain initialized in a domain-wall state
- Thermalisation of a trapped one-dimensional Bose gas via diffusion
- Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids
- Relaxation in the XX quantum chain
- Inhomogeneous quenches in the transverse field Ising chain: scaling and front dynamics
- Stationary states in a free fermionic chain from the Quench Action Method
- Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
- Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm
- Fluctuations in ballistic transport from Euler hydrodynamics
- Hybrid semiclassical theory of quantum quenches in one dimensional systems
- Universal relaxational dynamics of gapped one dimensional models in the quantum sine-Gordon universality class
- Quantum information dynamics in multipartite integrable systems
- Algebraic construction of current operators in integrable spin chains
- Exact time-correlation functions of quantum Ising chain in a kicking transversal magnetic field
- Quench Dynamics of Isolated Many-Body Quantum Systems
- Quantum information scrambling after a quantum quench
- Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
- From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in Heisenberg spin chains
- Transport fluctuations in integrable models out of equilibrium
- Transport in the sine-Gordon field theory: from generalized hydrodynamics to semiclassics
- Energy transport between two integrable spin chains
- Correlations and diagonal entropy after quantum quenches in XXZ chains
- Current operators in Bethe Ansatz and Generalized Hydrodynamics: An exact quantum/classical correspondence
- Ballistic front dynamics after joining two semi-infinite quantum Ising chains
- Nonuniversal prefactors in correlation functions of 1D quantum liquids
- Local correlations in the 1D Bose gas from a scaling limit of the XXZ chain
- Orthogonality catastrophe and shock waves in a non-equilibrium Fermi gas
- Conformal field theory on top of a breathing one-dimensional gas of hard core bosons
- On one-point functions for sinh-Gordon model at finite temperature
- On the theory of quantum quenches in near-critical systems
- Quantum quenches to the attractive one-dimensional Bose gas: exact results
- Universal front propagation in the quantum Ising chain with domain-wall initial states
- Spin-charge separation effects in the low-temperature transport of 1D Fermi gases
- Emergent eigenstate solution to quantum dynamics far from equilibrium
- Rényi entropies after releasing the Néel state in the XXZ spin-chain
- Quantum ripples over a semi-classical shock
- Energy transport in an integrable parafermionic chain via generalized hydrodynamics
- Spin crossovers and superdiffusion in the one-dimensional Hubbard model
- Isotropic Transverse XY Chain with Energy- and Magnetization Currents
- Entanglement in spin chains with gradients
- Exact solution for the quench dynamics of a nested integrable system
- Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
- Short distance correlators in the XXZ spin chain for arbitrary string distributions
- Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain
- Front dynamics and entanglement in the XXZ chain with a gradient
- Domain-wall melting in the spin- XXZ spin chain: emergent Luttinger liquid with fractal quasi-particle charge
- The Diffusion of the Magnetization Profile in the XX-model
- Time Evolution within a Comoving Window: Scaling of signal fronts and magnetization plateaus after a local quench in quantum spin chains
- Universal broadening of the light cone in low-temperature transport
- A hydrodynamic approach to non-equilibrium conformal field theories
- The Folded Spin-1/2 XXZ Model: II. Thermodynamics and Hydrodynamics with a Minimal Set of Charges
- Thermodynamics of Strongly Correlated One-Dimensional Bose Gases
- Locally quasi-stationary states in noninteracting spin chains
- Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
- Multicritical edge statistics for the momenta of fermions in non-harmonic traps
- Spreading of entanglement and correlations after a quench with intertwined quasiparticles
- Finite-time universality in nonequilibrium CFT
- From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
- Quantum quenches with integrable pre-quench dynamics
- Equations of state in generalized hydrodynamics
- Time evolution of the Luttinger model with nonuniform temperature profile
- More on the rainbow chain: entanglement, space-time geometry and thermal states
- Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
- The Inhomogeneous Gaussian Free Field, with application to ground state correlations of trapped 1d Bose gases
- Collision rate ansatz for quantum integrable systems
- Quantum distillation and confinement of vacancies in a doublon sea
- Decay and recurrence of non-Gaussian correlations in a quantum many-body system
- Domain wall dynamics in integrable and chaotic spin-1/2 chains
- One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invariance
- Anomalous low-frequency conductivity in easy-plane XXZ spin chains
- Low-Temperature Transport in Out-of-Equilibrium XXZ Chains
- Expansion potentials for exact far-from-equilibrium spreading of particles and energy
- Diffusive Heat Waves in Random Conformal Field Theory
- Excited state correlations of the finite Heisenberg chain
- Entanglement and diagonal entropies after a quench with no pair structure
- Out of equilibrium correlations in the XY chain
- Fermi distribution of semicalssical non-eqilibrium Fermi states
- Holographic Duals of Inhomogeneous Systems: The Rainbow Chain and the Sine-Square Deformation Model
- Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable models
- Rényi entropies of generic thermodynamic macrostates in integrable systems
- Transport and Control in One-Dimensional Systems
- High-temperature spin dynamics in the Heisenberg chain: Magnon propagation and emerging KPZ-scaling in the zero-magnetization limit
- Steady states and universal conductance in a quenched Luttinger model
- Hydrodynamical phase transition for domain-wall melting in the XY chain
- Kinetic theory of quantum and classical Toda lattices
- Generalized Hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model
- Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT
- Integrable quenches in nested spin chains I: the exact steady states
- Entanglement entropies of inhomogeneous Luttinger liquids
- Non-equilibrium Steady States of Quantum Systems on Star Graphs
- Temperature driven quenches in the Ising model: appearance of negative Rényi mutual information
- On sinh-Gordon Thermodynamic Bethe Ansatz and fermionic basis
- Entanglement and relative entropies for low-lying excited states in inhomogeneous one-dimensional quantum systems
- Non-equilibrium transport in -dimensional non-interacting Fermi gases
- Generalized hydrodynamics study of the one-dimensional Hubbard model: Stationary clogging and proportionality of spin, charge, and energy currents
- Ballistic transport and boundary resistances in inhomogeneous quantum spin chains
- Dynamics of large deviations in the hydrodynamic limit: Non-interacting systems
- Lower bounds for ballistic current and noise in non-equilibrium quantum steady states
- Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
- Quenched dynamics in interacting one-dimensional systems: Appearance of current carrying steady states from initial domain wall density profiles
- Euler-scale dynamical correlations in integrable systems with fluid motion
- Emergent eigenstate solution and emergent Gibbs ensemble for expansion dynamics in optical lattices
- Split Fermi seas in one-dimensional Bose fluids
- One-particle density matrix of a trapped Lieb-Liniger anyonic gas
- Front dynamics in the XY chain after local excitations
- Prethermalisation and Thermalisation in the Entanglement Dynamics
- Equilibration in one-dimensional quantum hydrodynamic systems
- A TBA description of thermal transport in the XXZ Heisenberg model
- Semiclassical theory of front propagation and front equilibration following an inhomogeneous quantum quench
- Integrable quenches in nested spin chains II: fusion of boundary transfer matrices
- Transport Control in Low-Dimensional Spin-1/2 Heisenberg Systems
- Entanglement spreading and quasiparticle picture beyond the pair structure
- Energy flow and fluctuations in non-equilibrium conformal field theory on star graphs
- Molecular dynamics simulation of entanglement spreading in generalized hydrodynamics
- Sudden expansion and domain-wall melting of strongly interacting bosons in two-dimensional optical lattices and on multileg ladders
- General finite-size effects for zero-entropy states in one-dimensional quantum integrable models
- Charge-current correlation equalities for quantum systems far from equilibrium
- Emergent ballistic transport of Bose-Fermi mixtures in one dimension
- Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
- Correlation and entanglement spreading in nested spin chains
- Entanglement spreading after local fermionic excitations in the XXZ chain
- Full counting statistics in the free Dirac theory
- A remark on the notion of independence of quantum integrals of motion in the thermodynamic limit
- Emergence of generalized hydrodynamics in the non-local Luttinger model
- Nonlinear entanglement growth in inhomogeneous spacetimes
Cited by in corpus (9)
- Correlation functions and transport coefficients in generalised hydrodynamics
- Soliton gas in integrable dispersive hydrodynamics
- Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
- Rule 54: Exactly solvable model of nonequilibrium statistical mechanics
- Exact relaxation to Gibbs and non-equilibrium steady states in the quantum cellular automaton Rule 54
- Unbounded entanglement production via a dissipative impurity
- Hydrodynamics of quantum entropies in Ising chains with linear dissipation
- Thermalization and non-monotonic entanglement growth in an exactly solvable model
- Entanglement spreading after local and extended excitations in a free-fermion chain