Emergent hydrodynamics in integrable quantum systems out of equilibrium

Abstract

Understanding the general principles underlying strongly interacting quantum states out of equilibrium is one of the most important tasks of current theoretical physics. With experiments accessing the intricate dynamics of many-body quantum systems, it is paramount to develop powerful methods that encode the emergent physics. Up to now, the strong dichotomy observed between integrable and non-integrable evolutions made an overarching theory difficult to build, especially for transport phenomena where space-time profiles are drastically different. We present a novel framework for studying transport in integrable systems: hydrodynamics with infinitely-many conservation laws. This bridges the conceptual gap between integrable and non-integrable quantum dynamics, and gives powerful tools for accurate studies of space-time profiles. We apply it to the description of energy transport between heat baths, and provide a full description of the current-carrying non-equilibrium steady state and the transition regions in a family of models including the Lieb-Liniger model of interacting Bose gases, realized in experiments.

v1: 9 pages, 4 figures. v2: 12 pages, 6 figures. Results extended to include the Lieb-Liniger model. References added. v3: 16 pages, 10 figures. Discussion of generalized hydrodynamics and model analysis improved. References added

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• Experimental Observation of a Generalized Gibbs Ensemble
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Interaction Quench in the Hubbard model
• Quantum limit of heat flow across a single electronic channel
• "Light-cone" dynamics after quantum quenches in spin chains
• Form factors in finite volume II:disconnected terms and finite temperature correlators
• Generalized TBA and generalized Gibbs
• Logarithmic current fluctuations in non-equilibrium quantum spin chains
• Determination of the Nonequilibrium Steady State Emerging from a Defect
• Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids
• Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm
• Non-equilibrium transport in $d$-dimensional non-interacting Fermi gases
• Hydrodynamic description of Hard-core Bosons on a Galileo ramp

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• Finite-temperature transport in one-dimensional quantum lattice models
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• Large-scale description of interacting one-dimensional Bose gases: generalized hydrodynamics supersedes conventional hydrodynamics
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• Roadmap on Atomtronics: State of the art and perspective
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• Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
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• Integrable Matrix Models in Discrete Space-Time
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• A class of states supporting diffusive spin dynamics in the isotropic Heisenberg model
• Entanglement entropies of inhomogeneous Luttinger liquids
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions
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• Anomalous Dynamics and Equilibration in the Classical Heisenberg Chain
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• Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains
• Exact Thermodynamics and Transport in the Classical Sine-Gordon Model
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• Dynamics of large deviations in the hydrodynamic limit: Non-interacting systems
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• Diffusive Hydrodynamics of Inhomogenous Hamiltonians
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• Diffusion from Convection
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• Probing non-thermal density fluctuations in the one-dimensional Bose gas
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• Adiabatic formation of bound states in the 1d Bose gas
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• A finite-time quantum Otto engine with tunnel coupled one-dimensional Bose gases
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• Probing the local rapidity distribution of a 1D Bose gas
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• Hydrodynamics and the eigenstate thermalization hypothesis
• Molecular dynamics simulation of entanglement spreading in generalized hydrodynamics
• Quenches from gaussian bosons to Tonks-Girardeau gas: stationary states and effects of a confining potential
• Finite temperature dynamics in gapped 1D models in the sine-Gordon family
• The hydrodynamic theory of dynamical correlation functions in the XX chain
• Dissipation-driven integrable fermionic systems: from graded Yangians to exact nonequilibrium steady states
• The Space of Integrable Systems from Generalised $T\bar{T}$-Deformations
• Integrability breaking in the one dimensional Bose gas: Atomic losses and energy loss
• Quantum sine-Gordon dynamics in coupled spin chains
• Interplay between transport and quantum coherences in free fermionic systems
• Ballistic-to-diffusive transition in spin chains with broken integrability
• Extreme boundary conditions and random tilings
• Macroscopic effects of localised measurements in jammed states of quantum spin chains
• Universal shock-wave propagation in one-dimensional Bose fluids
• Global Quenches after Localised Perturbations
• Non-Equilibrium Quantum Spin Dynamics from Classical Stochastic Processes
• Exact large-scale fluctuations of the phase field in the sine-Gordon model
• Thermodynamics and fractal Drude weights in the sine-Gordon model
• BBGKY Hierarchy and Generalised Hydrodynamics
• Full Counting Statistics of Charge in Quenched Quantum Gases
• Diffusive hydrodynamics from long-range correlations
• Closed hierarchy of Heisenberg equations in integrable models with Onsager algebra
• On the Dynamics of Free-Fermionic Tau-Functions at Finite Temperature
• Hydrodynamic sound modes and Galilean symmetry breaking in a magnon fluid
• Quantum Computing by Cooling
• Free energy fluxes and the Kubo-Martin-Schwinger relation
• The Whitham Approach to the $c\to 0$ limit of The Lieb-Liniger Model and Generalized Hydrodynamics
• Two-species hardcore reversible cellular automaton: matrix ansatz for dynamics and nonequilibrium stationary state
• Measurement catastrophe and ballistic spread of charge density with vanishing current
• A simpler probe of the quantum Mpemba effect in closed systems
• Cooling arbitrary near-critical systems using hyperbolic quenches
• Effects of atom losses on a one-dimensional lattice gas of hardcore bosons
• Spin diffusion in perturbed isotropic Heisenberg spin chain
• Reaction-diffusive dynamics of number-conserving dissipative quantum state preparation
• Charge-current correlation equalities for quantum systems far from equilibrium
• The kinetic exclusion process: a tale of two fields
• Temperature Dependent Energy Diffusion in Chaotic Spin Chains
• Emergent ballistic transport of Bose-Fermi mixtures in one dimension
• From dissipationless to normal diffusion in easy-axis Heisenberg spin chain
• Interplay of Solitons and Radiation in One-Dimensional Bose Gases
• Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
• Integrable nonunitary quantum circuits
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• An integrable spin chain with Hilbert space fragmentation and solvable real time dynamics
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• Hydrodynamic relaxation of spin helices
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• Domain wall melting in spin-1 chains
• Navier-Stokes equations for nearly integrable quantum gases
• Benchmarks of Generalized Hydrodynamics for 1D Bose Gases
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• Revised Enskog equation for hard rods
• Anomalous Hydrodynamics in One Dimensional Electronic Fluid
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• Superdiffusive magnetization transport in the XX spin chain with non-local dephasing
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• Current mean values in the XYZ model
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• The relevant excitations for the one-body function in the Lieb-Liniger model
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• Boundedness of meta-conformal two-point functions in one and two spatial dimensions
• On Landauer--Büttiker formalism from a quantum quench
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• Long-time equilibration can determine transient thermality
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• Identifying diffusive length scales in one-dimensional Bose gases
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• Relaxation dynamics of integrable field theories after a global quantum quench
• Time-dependent Neural Galerkin Method for Quantum Dynamics
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
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• Assessing Quantum Thermalization in Physical and Configuration Spaces via Many-Body Weak Values
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• Non-equilibrium time evolution in the sine-Gordon model revisited
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• The Theory of Generalised Hydrodynamics for the One-dimensional Bose Gas
• Experimental Investigation of a Bipartite Quench in a 1D Bose gas
• Integrability and charge transport in asymmetric quantum-circuit geometries
• Accuracy of time-dependent GGE under weak dissipation
• Emergent Infrared Conformal Dynamics in Strongly Interacting Quantum Gases
• Viscous Flow in a 1D Spin-Polarized Fermi Gas: the Role of Integrability on Viscosity
• Non-linear Transport by Bethe Bound States
• Generalized hydrodynamics in complete box-ball system for $U_q({\widehat{sl}}_n)$
• Phase-space stochastic quantum hydrodynamics for interacting Bose gases
• Spin Drude weight for the integrable XXZ chain with arbitrary spin
• Emergence of generalized hydrodynamics in the non-local Luttinger model
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• Finding local integrals of motion in quantum lattice models in the thermodynamic limit
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• Simulating generalised fluids via interacting wave packets evolution
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• Universality in the tripartite information after global quenches: spin flip and semilocal charges
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• A hydrodynamic approach to Stark localization
• Anomalous charge transport in the sine-Gordon model
• Dressed excitations, thermodynamics and relaxation in the 1D XXZ Heisenberg model
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• Separation of variables for higher rank integrable models: review of recent progress
• Observation of a generalized Gibbs ensemble in photonics
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion
• Cumulants of conserved charges in GGE and cumulants of total transport in GHD: exact summation of matrix elements?
• Wavelet representation of hardcore bosons
• Quantum fluctuating theory for one-dimensional shock waves
• Particle Scattering and Fusion for the Ablowitz-Ladik Chain
• Quest for the golden ratio universality class
• Anomalous relaxation of density waves in a ring-exchange system
• Kinetics of Quantum Reaction-Diffusion systems
• Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture
• Conserved densities of hard rods: microscopic to hydrodynamic solutions
• Diagnosing quantum transport from wave function snapshots
• Integrability from a single conservation law in quantum spin chains
• Chapman-Enskog theory and crossover between diffusion and superdiffusion for nearly integrable quantum gases
• Hydrodynamic fluctuations of stochastic charged cellular automata
• Ballistic particle transport and Drude weight in gases
• Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{ö}dinger equation
• Exact Spectral Function of One-Dimensional Bose Gases
• Slow transport and bound states for spinless fermions with long-range Coulomb interactions on one-dimensional lattices
• Entanglement of Stationary States in the Presence of Unstable Quasiparticles
• Generalized Hydrodynamics for the Volterra lattice: Ballistic and nonballistic behavior of correlation functions
• On computing non-equilibrium dynamics following a quench
• Space-time first-order correlations of an open Bose-Hubbard model with incoherent pump and loss
• Timescales and necessary conditions for hydrodynamization in one-dimensional Bose gases
• Fate of entanglement in quadratic Markovian dissipative systems
• Thermodynamic symmetry resolved entanglement entropies in integrable systems
• Hydrodynamics of spin transport in the Haldane-Shastry chain
• Ballistic propagation of a local impact in the one-dimensional $XY$ model
• Full counting statistics after quantum quenches as hydrodynamic fluctuations
• Superdiffusive transport in chaotic quantum systems with nodal interactions
• Superdiffusion resilience in Heisenberg Chains with 2D interactions on a quantum processor
• Dissipative Hot-spot Enabled Shock and Bounce Dynamics via Terahertz Quantum Quenches in Helical Edge States
• Fractional diffusion without disorder in two dimensions
• Thermodynamics and Tomonaga-Luttinger liquid behavior of the quantum 1D hard rod model
• On correlation functions in models related to the Temperley-Lieb algebra
• Emergent Viscous Hydrodynamics From a Single Quantum Particle
• Domain-wall melting and entanglement in free-fermion chains with a band structure
• Tails of Instability and Decay: a Hydrodynamic Perspective
• Kinetic energy equipartition: a tool to characterize quantum thermalization
• Extending the Thermodynamic Form Factor Bootstrap Program: Multiple particle-hole excitations, crossing symmetry, and reparameterization invariance
• Tunable superdiffusion in integrable spin chains using correlated initial states
• Hot band sound
• Nonlinear dispersive regularization of inviscid gas dynamics
• Macroscopic Quantum States and Universal Correlations in a Disorder-Order Interface Propagating over a 1D Ground State
• Generalized Gibbs Ensemble from Eigenstate Entanglement Hamiltonian
• Quantum typicality approach to energy flow between two spin-chain domains at different temperatures
• Particle-hole origin of thermal beating in dipole-compression modes of a 1D Bose gas
• Entanglement Hamiltonian during a domain wall melting in the free Fermi chain
• Entanglement dynamics of a hard-core quantum gas during a Joule expansion
• Effects of intertube dipole-dipole interactions in nearly integrable one-dimensional ${}^{162}$Dy gases
• Loop Charges and Fragmentation in Pairwise Difference Conserving Circuits
• Symmetry-based nonlinear fluctuating hydrodynamics in one dimension
• Noninvertible Kramers-Wannier duality symmetries for the discrete-time quantum Ising chain
• Integral formula for the propagator of the one-dimensional Hubbard model
• Exotic critical states as fractional Fermi seas in the one-dimensional Bose gas
• Inhomogeneous quenches and GHD in the $\nu =1$ QSSEP model
• Quantum transport in 1D Hubbard model: Drude weights and Seebeck effect
• Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench
• Dynamical correlations of conserved quantities in the one-dimensional equal mass hard particle gas
• Generalised Gibbs Ensemble for spherically constrained harmonic models
• Inhomogeneous quantum quenches in the sine-Gordon theory
• Expansion of one-dimensional spinor gases from power-law traps
• Integrable fishnet circuits and Brownian solitons
• Thermalization of dipole oscillations in confined systems by rare collisions
• Local Properties of the Rapidity Distribution in the Lieb-Liniger Model
• Bound-state confinement after trap-expansion dynamics in integrable systems