Generalized TBA and generalized Gibbs

Abstract

We consider the extension of the thermodynamic Bethe Ansatz (TBA) to cases in which additional terms involving higher conserved charges are added to the Hamiltonian, or in which a distinction is made between the Hamiltonian used for time evolution and that used for defining the density matrix. Writing down equations describing the saddle-point (pseudo-equilibrium) state of the infinite system, we prove the existence and uniqueness of solutions for Lieb-Liniger provided simple requirements are met. We show how a knowledge of the saddle-point rapidity distribution is equivalent to that of all generalized chemical potentials, and how the standard equilibrium equations for e.g. excitations are simply generalized.

9 pages, no figures

References in corpus (5)

• Quantum Quench in the Transverse Field Ising Chain
• Dephasing and the steady state in quantum many-particle systems
• Exact three-body local correlations for excited states of the 1D Bose gas
• Local correlations in the 1D Bose gas from a scaling limit of the XXZ chain
• Higher conservation laws for the quantum non-linear Schroedinger equation

Cited by in corpus (91)

• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• Time evolution of local observables after quenching to an integrable model
• Complete Generalized Gibbs Ensemble in an interacting Theory
• Quantum quenches in 1+1 dimensional conformal field theories
• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
• Generalized HydroDynamics on an Atom Chip
• Solution for an interaction quench in the Lieb-Liniger Bose gas
• Soliton gases and generalized hydrodynamics
• Entanglement dynamics after quantum quenches in generic integrable systems
• Constructing the generalized Gibbs ensemble after a quantum quench
• "Light-cone" dynamics after quantum quenches in spin chains
• Large-scale description of interacting one-dimensional Bose gases: generalized hydrodynamics supersedes conventional hydrodynamics
• The Quench Action
• Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain
• Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
• Validity of the GGE for quantum quenches from interacting to noninteracting models
• A note on generalized hydrodynamics: inhomogeneous fields and other concepts
• Analytic results for a quantum quench from free to hard-core one dimensional bosons
• Dynamics of hard rods with initial domain wall state
• Eigenstate thermalization hypothesis (ETH) and integrability in quantum spin chains
• Drude Weight for the Lieb-Liniger Bose Gas
• Infinite-time Average of Local Fields in an Integrable Quantum Field Theory after a Quantum Quench
• Interaction quenches in the 1D Bose gas
• Correlation functions and transport coefficients in generalised hydrodynamics
• Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
• Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
• Quench action and Renyi entropies in integrable systems
• Generalized Gibbs Ensemble for Heisenberg Spin Chains
• Exact large-scale correlations in integrable systems out of equilibrium
• Failure of the GGE hypothesis for integrable models with bound states
• Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain
• Yang-Baxter integrable models in experiments: from condensed matter to ultracold atoms
• The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas
• Quantum quenches from excited states in the Ising chain
• Entanglement spreading in non-equilibrium integrable systems
• Equilibration Properties of Classical Integrable Field Theories
• Quantum quench within the gapless phase of the spin-1/2 Heisenberg XXZ spin-chain
• Rényi entropies after releasing the Néel state in the XXZ spin-chain
• Stationary entanglement entropies following an interaction quench in 1D Bose gas
• Quantum quenches and Generalized Gibbs Ensemble in a Bethe Ansatz solvable lattice model of interacting bosons
• Entanglement revivals as a probe of scrambling in finite quantum systems
• Breakdown of Tan's relation in lossy one-dimensional Bose gases
• Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
• Generalized hydrodynamics of the KdV soliton gas
• Generalized hydrodynamics regime from the thermodynamic bootstrap program
• Dynamics of charge fluctuations from asymmetric initial states
• Exact correlations in the Lieb-Liniger model and detailed balance out-of-equilibrium
• Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
• Global large time dynamics and the generalized Gibbs ensemble
• Rényi entropies of generic thermodynamic macrostates in integrable systems
• Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT
• Quench echo and work statistics in integrable quantum field theories
• Generalized Gibbs ensemble in a nonintegrable system with an extensive number of local symmetries
• Exact out-of-equilibrium steady states in the semiclassical limit of the interacting Bose gas
• Euler-scale dynamical correlations in integrable systems with fluid motion
• Probing non-thermal density fluctuations in the one-dimensional Bose gas
• Thermalization of interacting quasi-one-dimensional systems
• Semi-classical theory for quantum quenches in the O(3) non-linear sigma model
• A TBA description of thermal transport in the XXZ Heisenberg model
• Universal Features of the Excitation Spectrum in Generalized Gibbs Distribution Ensemble
• Equilibration and GGE for hard wall boundary conditions
• Hydrodynamic Equations for the Toda Lattice
• General finite-size effects for zero-entropy states in one-dimensional quantum integrable models
• Thermodynamics and fractal Drude weights in the sine-Gordon model
• Exact large-scale fluctuations of the phase field in the sine-Gordon model
• Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
• Universality in the tripartite information after global quenches
• The two particle-hole pairs contribution to the dynamic correlation functions of quantum integrable models
• Navier-Stokes equations for nearly integrable quantum gases
• Benchmarks of Generalized Hydrodynamics for 1D Bose Gases
• On the Hydrodynamics of Unstable Excitations
• Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
• Quench between a Mott insulator and a Lieb-Liniger liquid
• Prethermalization in coupled one-dimensional quantum gases
• The Staircase Model: Massless Flows and Hydrodynamics
• Soliton gas of the integrable Boussinesq equation and its generalised hydrodynamics
• Experimental Investigation of a Bipartite Quench in a 1D Bose gas
• Finite-size effects from higher conservation laws for the one-dimensional Bose gas
• Quantum Correlations in Field Theory and Integrable Systems
• Y-Systems for Generalised Gibbs Ensembles in Integrable Quantum Field Theory
• Chapman-Enskog theory and crossover between diffusion and superdiffusion for nearly integrable quantum gases
• Modular Properties of Generalised Gibbs Ensembles
• Generalised Hydrodynamics of Particle Creation and Decay
• Cumulants of conserved charges in GGE and cumulants of total transport in GHD: exact summation of matrix elements?
• Extending the Thermodynamic Form Factor Bootstrap Program: Multiple particle-hole excitations, crossing symmetry, and reparameterization invariance
• Ballistic particle transport and Drude weight in gases
• Entanglement of Stationary States in the Presence of Unstable Quasiparticles
• Thermodynamic symmetry resolved entanglement entropies in integrable systems
• Theoretical study on thermalization in isolated quantum systems
• A diagrammatic approach towards the thermodynamics of integrable systems