Magnetization dynamics in clean and disordered spin-1 XXZ chains
arXiv:1907.03004 · doi:10.1103/PhysRevB.100.144423
Abstract
We study spin transport in the one-dimensional anisotropic S = 1 Heisenberg model. Particular emphasis is given to dynamics at infinite temperature, where current autocorrelations and spatio-temporal correlation functions are obtained by means of an efficient pure-state approach based on the concept of typicality. Our comprehensive numerical analysis unveils that high-temperature spin transport is diffusive in the easy-axis regime for strong exchange anisotropies. This finding is based on the combination of numerous signatures, such as (i) Gaussian spreading of correlations, (ii) a time-independent diffusion coefficient, (iii) power-law decay of equal-site correlations, (iv) exponentially decaying long-wavelength modes, and (v) Lorentzian line shapes of the dynamical structure factor. Moreover, we provide evidence that some of these signatures are not exclusively restricted to the infinite-temperature limit, but can persist at lower temperatures as well, where we complement our results by additional quantum Monte Carlo simulations of large systems. In contrast to the easy-axis regime, we show that in the case of an isotropic chain, the signatures (i) - (v) are much less pronounced or even entirely absent, suggesting the existence of anomalous spin transport despite the nonintegrability of the model. Eventually, upon introducing a random on-site magnetic field, we observe a breakdown of diffusion and distinctly slower dynamics. In particular, our results exhibit qualitative similarities to disordered spin-1/2 chains and might be consistent with the onset of many-body localization in the S = 1 model for sufficiently strong disorder.
arXiv comment14 pages, 15 figures
References in corpus (104)
- The density-matrix renormalization group in the age of matrix product states
- The density-matrix renormalization group
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- The Kernel Polynomial Method
- Many-body localization edge in the random-field Heisenberg chain
- Unbounded growth of entanglement in models of many-body localization
- The foundations of statistical mechanics from entanglement: Individual states vs. averages
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Many body localization in Heisenberg XXZ magnet in a random field
- Phenomenology of fully many-body-localized systems
- A phenomenology of certain many-body-localized systems
- Local conservation laws and the structure of the many-body localized states
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Quantum Monte Carlo with Directed Loops
- Stochastic series expansion method with operator-loop update
- Operator Spreading in Random Unitary Circuits
- Canonical Typicality
- Generalized Gibbs ensemble in integrable lattice models
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
- Transport and conservation laws
- Area laws in a many-body localized state and its implications for topological order
- Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Spin transport in a one-dimensional anisotropic Heisenberg model
- Hydrodynamic Diffusion in Integrable Systems
- Ultracold atoms out of equilibrium
- Spin diffusion from an inhomogeneous quench in an integrable system
- The Ergodic Side of the Many-Body Localization Transition
- Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}
- Typicality for Generalized Microcanonical Ensembles
- Ground State Phase Diagram of S=1 XXZ Chains with Uniaxial Single-Ion-Type Anisotropy
- Families of quasi-local conservation laws and quantum spin transport
- Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
- Canonical Thermal Pure Quantum State
- Conservation laws, integrability and transport in one-dimensional quantum systems
- Fast Algorithm for Finding the Eigenvalue Distribution of Very Large Matrices
- Zero-frequency transport properties of one dimensional spin-1/2 systems
- Low-frequency conductivity in many-body localized systems
- Dynamical typicality of quantum expectation values
- One-Dimensional Magnetism
- An efficient scheme for numerical simulations of the spin-bath decoherence
- Thouless energy and multifractality across the many-body localization transition
- Conductivity of disordered quantum lattice models at infinite temperature: Many-body localization
- Real-time and real-space spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures
- Spin-current autocorrelations from single pure-state propagation
- Low temperature spin diffusion in the one-dimensional quantum nonlinear -model
- Density propagator for many-body localization: finite size effects, transient subdiffusion, and exponential decay
- Eigenstate thermalization and quantum chaos in the Holstein polaron model
- Fourier's Law from Schroedinger Dynamics
- Regression relation for pure quantum states and its implications for efficient computing
- Quantum correlations and entanglement in far-from-equilibrium spin systems
- Diffusion in deterministic interacting lattice systems
- Typicality approach to the optical conductivity in thermal and many-body localized phases
- Slow dynamics and strong finite-size effects in many-body localization with random and quasi-periodic potential
- Spin transport in the XXZ chain at finite temperature and momentum
- Diffusive high-temperature transport in the one-dimensional Hubbard model
- Haldane Gapped Spin Chains: Exact Low Temperature Expansions of Correlation Functions
- Fourier's Law in a Quantum Spin Chain and the Onset of Quantum Chaos
- Dynamic correlations of antiferromagnetic spin-1/2 XXZ chains at arbitrary temperature from complete diagonalization
- Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
- High-temperature coherent transport in the XXZ chain in the presence of an impurity
- Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
- Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
- Real-time broadening of non-equilibrium density profiles and the role of the specific initial-state realization
- Algorithm for Linear Response Functions at Finite Temperatures: Application to ESR spectrum of s=1/2 Antiferromagnet Cu benzoate
- Finite temperature transport in disordered Heisenberg chains
- Combining Dynamical Quantum Typicality and Numerical Linked Cluster Expansions
- Phases of random antiferromagnetic spin-1 chains
- The spin Drude weight of the XXZ chain and generalized hydrodynamics
- Quasi-local conserved charges and spin transport in spin- integrable chains
- Entanglement entropy of the random spin-1 Heisenberg chain
- Density correlations and transport in models of many-body localization
- Scaling of diffusion constants in the spin-1/2 XX ladder
- Spin transport properties of the quantum one-dimensional non-linear sigma model : an application to Haldane gap systems
- Density dynamics from current auto-correlations at finite time- and length-scales
- Energy diffusion in the ergodic phase of a many body localizable spin chain
- The properties of Haldane excitations and multi-particle states in the antiferromagnetic spin-1 chain compound CsNiCl
- Diffusive transport in spin-1 chains at high temperatures
- Diffusive energy transport in the S=1 Haldane chain compound AgVP2S6
- Proposal for measuring the finite-temperature Drude weight of integrable systems
- Real-Time Dynamics of Typical and Untypical States in Non-Integrable Systems
- Spin transport in long-range interacting one-dimensional chain
- Finite-Temperature Dynamics and Thermal Intraband Magnon Scattering in Haldane Spin-One Chains
- Projection operator approach to spin diffusion in the anisotropic Heisenberg chain at high temperatures
- Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum
- Heat Transport in Spin Chains with Weak Spin-Phonon Coupling
- Finite-temperature dynamic structure factor of the spin-1 XXZ chain with single-ion anisotropy
- Local spin relaxation within the random Heisenberg chain
- Charge diffusion in the one-dimensional Hubbard model
- NMR relaxation in the spin-1 Heisenberg chain
- Thermal transport in a spin-1/2 Heisenberg chain coupled to a (non) magnetic impurity
- Relation between far-from-equilibrium dynamics and equilibrium correlation functions for binary operators
- Energy spread and current-current correlation in quantum systems
- Sudden removal of a static force in a disordered system: Induced dynamics, thermalization, and transport
- Spin dynamics of the anisotropic spin-1 antiferromagnetic chain at finite magnetic fields
- Single-ion anisotropy in Haldane chains and form factor of the O(3) nonlinear sigma model
- Light induced magnetization in a spin S=1 easy-plane antiferromagnetic chain
Cited by in corpus (17)
- Finite-temperature transport in one-dimensional quantum lattice models
- Superdiffusion in spin chains
- Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
- Anomalous hydrodynamics in a class of scarred frustration-free Hamiltonians
- Universality classes of spin transport in one-dimensional isotropic magnets: the onset of logarithmic anomalies
- Selected applications of typicality to real-time dynamics of quantum many-body systems
- High-temperature spin dynamics in the Heisenberg chain: Magnon propagation and emerging KPZ-scaling in the zero-magnetization limit
- Quantum versus Classical Dynamics in Spin Models: Chains, Ladders, and Square Lattices
- Probing magnon dynamics and interactions in a ferromagnetic spin-1 chain
- Decay of spin-spin correlations in disordered quantum and classical spin chains
- Density dynamics in the mass-imbalanced Hubbard chain
- Domain wall melting in spin-1 chains
- Spatiotemporal dynamics of classical and quantum density profiles in low-dimensional spin systems
- Swapping Floquet time crystal
- Many-body localization and delocalization dynamics in the thermodynamic limit
- Chaos enhancement in large-spin chains
- Diagnostics of Hilbert space fragmentation, freezing transition, and its effects in the family of quantum East models involving varying range of constraints