Generalized hydrodynamics regime from the thermodynamic bootstrap program

Abstract

Within the generalized hydrodynamics (GHD) formalism for quantum integrable models, it is possible to compute simple expressions for a number of correlation functions at the Eulerian scale. Specializing to integrable relativistic field theories, we show the same correlators can be computed as a sum over form factors, the GHD regime corresponding to the leading contribution with one particle-hole pair on a finite energy-density background. The thermodynamic bootstrap program (TBP) formalism was recently introduced as an axiomatic approach to computing such finite-energy-density form factors for integrable field theories. We derive a new axiom within the TBP formalism from which we easily recover the predicted GHD Eulerian correlators. We also compute higher form factor contributions, with more particle-hole pairs, within the TBP, allowing for the computation of correlation functions in the diffusive, and beyond, GHD regimes. The two particle-hole form factors agree with expressions recently conjectured within the~GHD.

arXiv commentv3: 29 pages, improved presentation, submitted to SciPost

References in corpus (40)

• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• Time evolution of local observables after quenching to an integrable model
• Generalized HydroDynamics on an Atom Chip
• Hydrodynamic Diffusion in Integrable Systems
• Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
• Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
• Soliton gases and generalized hydrodynamics
• Constructing the generalized Gibbs ensemble after a quantum quench
• Solvable Hydrodynamics of Quantum Integrable Systems
• Diffusion in generalized hydrodynamics and quasiparticle scattering
• Large-scale description of interacting one-dimensional Bose gases: generalized hydrodynamics supersedes conventional hydrodynamics
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
• A geometric viewpoint on generalized hydrodynamics
• Finite Temperature Correlation Functions in Integrable QFT
• Drude Weight for the Lieb-Liniger Bose Gas
• Form factors in finite volume II:disconnected terms and finite temperature correlators
• Non-equilibrium spin transport in integrable spin chains: persistent currents and emergence of magnetic domains
• Generalized hydrodynamics with space-time inhomogeneous interactions
• Generalized TBA and generalized Gibbs
• Generalised hydrodynamics of the classical Toda system
• Exact large-scale correlations in integrable systems out of equilibrium
• Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
• Generalized hydrodynamics of classical integrable field theory: the sinh-Gordon model
• Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
• Mean values of local operators in highly excited Bethe states
• Finite-temperature form factors in the free Majorana theory
• Integrability-protected adiabatic reversibility in quantum spin chains
• Particle-hole pairs and density-density correlations in the Lieb-Liniger model
• Finite-Temperature Form Factors: a Review
• Edge singularities and quasi-long-range order in non-equilibrium steady states
• Thermodynamic bootstrap program for integrable QFT's: Form factors and correlation functions at finite energy density
• Diffusion and signatures of localization in stochastic conformal field theory
• LeClair-Mussardo series for two-point functions in Integrable QFT
• Form factor approach to diagonal finite volume matrix elements in Integrable QFT
• Linearized regime of the generalized hydrodynamics with diffusion
• Leading exponential finite size corrections for non-diagonal form factors
• Field theoretical derivation of Lüscher's formula and calculation of finite volume form factors
• Finite volume form factors and correlation functions at finite temperature

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• Lecture notes on Generalised Hydrodynamics
• Quantum Generalized Hydrodynamics
• Superdiffusion in spin chains
• Diffusive hydrodynamics from integrability breaking
• Correlation functions and transport coefficients in generalised hydrodynamics
• Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
• Non-Equilibrium Dynamics and Weakly Broken Integrability
• Hydrodynamics of weak integrability breaking
• Generalised hydrodynamics with dephasing noise
• Current operators in integrable models: A review
• Locally quasi-stationary states in noninteracting spin chains
• Generalized hydrodynamics: a perspective
• Form factors and generalized hydrodynamics for integrable systems
• Hydrodynamic gauge fixing and higher order hydrodynamic expansion
• A systematic $1/c$-expansion of form factor sums for dynamical correlations in the Lieb-Liniger model
• Exact out-of-equilibrium steady states in the semiclassical limit of the interacting Bose gas
• Thermalization of interacting quasi-one-dimensional systems
• Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
• Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
• How generalized hydrodynamics time evolution arises from a form factor expansion
• Effective free-fermionic form factors and the XY spin chain
• On the Dynamics of Free-Fermionic Tau-Functions at Finite Temperature
• An integrable spin chain with Hilbert space fragmentation and solvable real time dynamics
• Integrability breaking from backscattering
• The two particle-hole pairs contribution to the dynamic correlation functions of quantum integrable models
• Analytical results for the low-temperature Drude weight of the XXZ spin chain
• Low-density limit of dynamical correlations in the Lieb-Liniger model
• Quantum corrections to the classical field approximation for one-dimensional quantum many-body systems in equilibrium
• The relevant excitations for the one-body function in the Lieb-Liniger model
• Relaxation dynamics of integrable field theories after a global quantum quench
• Non-Equilibrium Steady State of the Lieb-Liniger model: exact treatment of the Tonks Girardeau limit
• Finite volume form factors in integrable theories
• Quantum quenches in the sinh-Gordon and Lieb-Liniger models
• Extending the Thermodynamic Form Factor Bootstrap Program: Multiple particle-hole excitations, crossing symmetry, and reparameterization invariance
• Two-spinon effects on the thermal Tonks-Girardeau gas