Macroscopic Diffusive Transport in a Microscopically Integrable Hamiltonian System

Abstract

We demonstrate that a completely integrable classical mechanical model, namely the lattice Landau-Lifshitz classical spin chain, supports diffusive spin transport with a finite diffusion constant in the easy-axis regime, while in the easy-plane regime it displays ballistic transport in the absence of any known relevant local or quasi-local constant of motion in the symmetry sector of the spin current. This surprising finding should open the way towards analytical computation of diffusion constants for integrable interacting systems and hints on existence of new quasi-local classical conservation laws beyond the standard soliton theory.

4.5 (revtex) pages, 3 pdf (color) figures

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Cited by in corpus (44)

• Finite-temperature transport in one-dimensional quantum lattice models
• Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
• Diffusion in generalized hydrodynamics and quasiparticle scattering
• Microscopic origin of ideal conductivity in integrable quantum models
• Super-diffusion in one-dimensional quantum lattice models
• Real-time and real-space spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures
• Superdiffusion in spin chains
• Matrix product solutions of boundary driven quantum chains
• Anomalous spin diffusion in one-dimensional antiferromagnets
• Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
• Superuniversality of superdiffusion
• Kardar-Parisi-Zhang universality from soft gauge modes
• Kardar-Parisi-Zhang Scaling for an Integrable Lattice Landau-Lifshitz Spin Chain
• Kardar-Parisi-Zhang physics in integrable rotationally symmetric dynamics on discrete space-time lattice
• Domain wall dynamics in the Landau--Lifshitz magnet and the classical-quantum correspondence for spin transport
• Hydrodynamics in lattice models with continuous non-Abelian symmetries
• Integrability of a deterministic cellular automaton driven by stochastic boundaries
• Absence of Normal Fluctuations in an Integrable Magnet
• Interacting and noninteracting integrable systems
• Anomalous transport from hot quasiparticles in interacting spin chains
• Lower bounds on high-temperature diffusion constants from quadratically extensive almost conserved operators
• Integrable Matrix Models in Discrete Space-Time
• Nonlinear Fluctuating Hydrodynamics for the Classical XXZ Spin Chain
• A class of states supporting diffusive spin dynamics in the isotropic Heisenberg model
• Quantum versus Classical Dynamics in Spin Models: Chains, Ladders, and Square Lattices
• Anomalous Dynamics and Equilibration in the Classical Heisenberg Chain
• Transport in perturbed classical integrable systems: the pinned Toda chain
• Robustness of Kardar-Parisi-Zhang scaling in a classical integrable spin chain with broken integrability
• Quantum group approach to steady states of boundary-driven open quantum systems
• Transport properties of the classical Toda chain: effect of a pinning potential
• Revisiting the Mazur bound and the Suzuki equality
• Kardar-Parisi-Zhang scaling in the Hubbard model
• Less is more: more scattering leading to less resistance
• Long-lived Solitons and Their Signatures in the Classical Heisenberg Chain
• Popcorn Drude weights from quantum symmetry
• Anisotropic Landau-Lifshitz Model in Discrete Space-Time
• Domain wall melting in spin-1 chains
• Landau-Lifschitz magnets: exact thermodynamics and transport
• Undular diffusion in nonlinear sigma models
• Open-system spin transport and operator weight dissipation in spin chains
• Breakdown of superdiffusion in perturbed quantum integrable spin chains and ladders
• Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain
• Lindblad quantum dynamics from correlation functions of classical spin chains
• Classical and quantum harmonic mean-field models coupled intensively and extensively with external baths