Energy transport in disordered classical spin chains

Abstract

We present a numerical study of the diffusion of energy at high temperature in strongly disordered chains of interacting classical spins evolving deterministically. We find that quenched randomness strongly suppresses transport, with the diffusion constant becoming reduced by several orders of magnitude upon the introduction of moderate disorder. We have also looked for but not found signs of a classical many-body localization transition at any nonzero strength of the spin-spin interactions.

References in corpus (4)

• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Localization of interacting fermions at high temperature
• Towards a statistical theory of transport by strongly-interacting lattice fermions
• Effect of phonon-phonon interactions on localization

Cited by in corpus (82)

• The many-body localization phase transition
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Many-Body Localization in a Quasiperiodic System
• Stability and instability towards delocalization in MBL systems
• The Ergodic Side of the Many-Body Localization Transition
• Many-body Localization and Symmetry Protected Topological Order
• Rare region effects and dynamics near the many-body localization transition
• Quantum Quenches, Thermalization and Many-Body Localization
• Non-ergodic phases in strongly disordered random regular graphs
• Non-ergodic delocalized phase in Anderson model on Bethe lattice and regular graph
• Symmetry constraints on many-body localization
• Weak chaos in the disordered nonlinear Schroedinger chain: destruction of Anderson localization by Arnold diffusion
• Non-ergodic metallic and insulating phases of Josephson junction chains
• Quantum criticality of hot random spin chains
• Transport in quasiperiodic interacting systems: from superdiffusion to subdiffusion
• Dynamical Stability of a Many-body Kapitza Pendulum
• Joint probability densities of level spacing ratios in random matrices
• Asymptotic quantum many-body localization from thermal disorder
• Dynamics and Transport at the Threshold of Many-Body Localization
• Cluster Truncated Wigner Approximation in Strongly Interacting Systems
• Quantum annealing: the fastest route to quantum computation?
• Poisson to GOE transition in the distribution of the ratio of consecutive level spacings
• Density correlations and transport in models of many-body localization
• Heat conduction in disordered harmonic lattices with energy conserving noise
• Energy transport in a disordered spin chain with broken U(1) symmetry: Diffusion, subdiffusion, and many-body localization
• Exploring many body localization and thermalization using semiclassical method
• Anomalous thermalization and transport in disordered interacting Floquet systems
• Quantum versus Classical Dynamics in Spin Models: Chains, Ladders, and Square Lattices
• Higher-order level spacings in random matrix theory based on Wigner's conjecture
• Anomalous Dynamics and Equilibration in the Classical Heisenberg Chain
• Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain in the regime of homogeneous chaos
• Many-Body Localization with Quasiperiodic Driving
• Probability Distribution of the Ratio of Consecutive Level Spacings in Interacting Particle Systems
• Chaotic wave packet spreading in two-dimensional disordered nonlinear lattices
• Many-body localization phase in a spin-driven chiral multiferroic chain
• Two particle excited states entanglement entropy in a one-dimensional ring
• Distribution of the ratio of two consecutive level spacings in orthogonal to unitary crossover ensembles
• Long-time expansion of a Bose-Einstein condensate: Can Anderson localization be observed?
• On the local nature and scaling of chaos in weakly nonlinear disordered chains
• Decay of spin-spin correlations in disordered quantum and classical spin chains
• Hydrodynamics in long-range interacting systems with center-of-mass conservation
• Spin and thermal conductivity in classical disordered spin chain
• Bridging the gap between classical and quantum many-body information dynamics
• Quantum Hydrodynamics in Spin Chains with Phase Space Methods
• Drastic fall-off of the thermal conductivity for disordered lattices in the limit of weak anharmonic interactions
• Semiclassical dynamics of a disordered two-dimensional Hubbard model with long-range interactions
• Critical Level Statistics at the Many-Body Localization Transition Region
• Transport, correlations, and chaos in a classical disordered anharmonic chain
• Subdiffusion in one-dimensional Hamiltonian chains with sparse interactions
• Fragile Many Body Ergodicity
• Superposition and higher-order spacing ratios in random matrix theory with application to complex systems
• Spectral analysis of molecular resonances in erbium isotopes: Are they close to semi-Poisson?
• Long-lived Solitons and Their Signatures in the Classical Heisenberg Chain
• Classical and quantum systems: transport due to rare events
• Localization-Delocalization Transitions in Bosonic Random Matrix Ensembles
• Entanglement entropy of low-lying excitation in localized interacting system: Signature of Fock space delocalization
• Level spacing statistics and spectral correlations in the diffuse van der Waals clusters
• Approaching Thouless Energy and Griffiths Regime in Random Spin Systems By Singular Value Decomposition
• Power-Law Random Banded Matrix Ensemble as the Effective Model for Many-Body Localization Transition
• Thermally driven classical Heisenberg model in one dimension
• Step Heat Profile in Localized Chains
• Scaling of the Reduced Energy Spectrum of Random Matrix Ensemble
• Correspondence between many-particle excitations and the entanglement spectrum of disordered ballistic one-dimensional systems
• Domain wall dynamics in classical spin chains: free propagation, subdiffusive spreading, and soliton emission
• Random Matrix Model for Eigenvalue Statistics in Random Spin Systems
• Glassy dynamics in strongly anharmonic chains of oscillators
• Subdiffusive spin transport in disordered classical Heisenberg chains
• Imperfect Many-Body Localization in Exchange-Disordered Isotropic Spin Chains
• Finite steady-state current defies non-Hermitian many-body localization
• Universal scaling of higher-order spacing ratios in Gaussian random matrices
• Trends of information backflow in disordered spin chains
• Complexity Measure Diagnostics of Ergodic to Many-Body Localization Transition
• Glassy dynamics in disordered oscillator chains
• Thermally driven classical Heisenberg model in one dimension with a local time-varying field
• A microscopic model of ballistic-diffusive crossover
• Entanglement Entropy on the Cayley Tree
• Lindblad quantum dynamics from correlation functions of classical spin chains
• A Complex Network Analysis on The Eigenvalue Spectra of Random Spin Systems
• Small perturbation of a disordered harmonic chain by a noise and an anharmonic potential
• Slow dissipation and spreading in disordered classical systems: A direct comparison between numerics and mathematical bounds
• Optimizing Large-Scale ODE Simulations
• Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems