Interacting and noninteracting integrable systems

Abstract

The distinction between interacting and noninteracting integrable systems is proposed to be characterized by the Onsager matrix. It being zero is the defining property of a noninteracting integrable system. To support our view we discuss various classical and quantum integrable chains.

19 pages, additions and improvements

References in corpus (14)

• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Soliton gases and generalized hydrodynamics
• Solvable Hydrodynamics of Quantum Integrable Systems
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• Conservation laws, integrability and transport in one-dimensional quantum systems
• Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
• Dynamics of hard rods with initial domain wall state
• Drude Weight for the Lieb-Liniger Bose Gas
• Entanglement and quantum transport in integrable systems
• Dynamics of the spin-1/2 Heisenberg chain initialized in a domain-wall state
• Current fluctuations for anharmonic chains in thermal equilibrium
• Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
• Equilibrium dynamical correlations in the Toda chain and other integrable models
• Absence of high-temperature ballistic transport in the spin-$1/2$ $XXX$ chain within the grand-canonical ensemble

Cited by in corpus (44)

• Finite-temperature transport in one-dimensional quantum lattice models
• Hydrodynamic Diffusion in Integrable Systems
• Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
• Diffusion in generalized hydrodynamics and quasiparticle scattering
• Super-diffusion in one-dimensional quantum lattice models
• Operator Entanglement in Interacting Integrable Quantum Systems: the Case of the Rule 54 Chain
• Superdiffusion in spin chains
• Correlation functions and transport coefficients in generalised hydrodynamics
• Exact large-scale correlations in integrable systems out of equilibrium
• Thermalisation of a trapped one-dimensional Bose gas via diffusion
• Kardar-Parisi-Zhang Scaling for an Integrable Lattice Landau-Lifshitz Spin Chain
• Fluctuations in ballistic transport from Euler hydrodynamics
• Quantum information scrambling after a quantum quench
• Too Close to Integrable: Crossover from Normal to Anomalous Heat Diffusion
• Ballistic macroscopic fluctuation theory
• Anomalous heat transport in classical many-body systems: overview and perspectives
• Non-Fourier heat transport in nanosystems
• Locally quasi-stationary states in noninteracting spin chains
• Finite-time universality in nonequilibrium CFT
• Inhomogeneous conformal field theory out of equilibrium
• Subdiffusive front scaling in interacting integrable models
• Diffusive Heat Waves in Random Conformal Field Theory
• Diffusion and operator entanglement spreading
• Hydrodynamic gauge fixing and higher order hydrodynamic expansion
• Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains
• Diffusion and superdiffusion from hydrodynamic projections
• Microscopic theory of the fluctuating hydrodynamics in nonlinear lattices
• Transport in perturbed classical integrable systems: the pinned Toda chain
• Diffusion from Convection
• Entropy growth during free expansion of an ideal gas
• Mechanism of slow equilibration of isolated quantum systems
• Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems
• Revisiting the Mazur bound and the Suzuki equality
• Current correlations, Drude weights and large deviations in a box-ball system
• Nonequilibrium phenomena in nonlinear lattices: from slow relaxation to anomalous transport
• Thermalization and hydrodynamics in an interacting integrable system: the case of hard rods
• Integrable hydrodynamics of Toda chain: case of small systems
• Thermalization in a simple spin-chain model
• Conserved densities of hard rods: microscopic to hydrodynamic solutions
• Hydrodynamics of spin transport in the Haldane-Shastry chain
• Absence of thermalization after a local quench and strong violation of the eigenstate thermalization hypothesis
• Macroscopic Quantum States and Universal Correlations in a Disorder-Order Interface Propagating over a 1D Ground State
• Dynamical correlations of conserved quantities in the one-dimensional equal mass hard particle gas
• Lax dynamics