Domain wall dynamics in classical spin chains: free propagation, subdiffusive spreading, and soliton emission
arXiv:2306.15351 · doi:10.1103/PhysRevLett.132.057202
Abstract
The non-equilibrium dynamics of domain wall initial states in a classical anisotropic Heisenberg chain exhibits a striking coexistence of apparently linear and non-linear behaviours: the propagation and spreading of the domain wall can be captured quantitatively by \textit{linear}, i.e. non-interacting, spin wave theory absent its usual justifications; while, simultaneously, for a wide range of easy-plane anisotropies, emission can take place of stable topological solitons -- a process and objects intrinsically associated with interactions and non-linearities. The easy-axis domain wall only has transient dynamics, the isotropic one broadens diffusively, while the easy-plane one yields a pair of ballistically counter-propagating domain walls which, unusually, broaden \textit{subdiffusively}, their width scaling as .
4 + 4 pages
References in corpus (69)
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Operator Spreading in Random Unitary Circuits
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Complete Generalized Gibbs Ensemble in an interacting Theory
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Finite-temperature transport in one-dimensional quantum lattice models
- Quasilocal charges in integrable lattice systems
- Spin diffusion from an inhomogeneous quench in an integrable system
- Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
- Real-time dynamics in spin-1/2 chains with adaptive time-dependent DMRG
- Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
- Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
- Microscopic origin of ideal conductivity in integrable quantum models
- Analytic solution of the Domain Wall non-equilibrium stationary state
- Full counting statistics in a propagating quantum front and random matrix spectra
- Current Fluctuations of the One Dimensional Symmetric Simple Exclusion Process with Step Initial Condition
- Detection of Kardar-Parisi-Zhang hydrodynamics in a quantum Heisenberg spin- chain
- Superdiffusion in spin chains
- Universality in the full counting statistics of trapped fermions
- Quantum Quenches in an XXZ Spin Chain from a Spatially Inhomogeneous Initial State
- Energy transport in disordered classical spin chains
- Logarithmic current fluctuations in non-equilibrium quantum spin chains
- Non-equilibrium steady states in the quantum XXZ spin chain
- Relaxation dynamics in the gapped XXZ spin-1/2 chain
- Inhomogeneous quenches in a fermionic chain: exact results
- Dynamic scaling of fronts in the quantum XX chain
- Entanglement spreading after a geometric quench in quantum spin chains
- Exactly conserved quasilocal operators for the XXZ spin chain
- Dynamics of the spin-1/2 Heisenberg chain initialized in a domain-wall state
- Inhomogeneous quenches in the transverse field Ising chain: scaling and front dynamics
- Light-cone spreading of perturbations and the butterfly effect in a classical spin chain
- Domain wall dynamics in the Landau--Lifshitz magnet and the classical-quantum correspondence for spin transport
- Universal front propagation in the quantum Ising chain with domain-wall initial states
- Emergent eigenstate solution to quantum dynamics far from equilibrium
- Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain
- Domain-wall melting in the spin- XXZ spin chain: emergent Luttinger liquid with fractal quasi-particle charge
- Domain wall problem in the quantum XXZ chain and semiclassical behavior close to the isotropic point
- Domain wall dynamics in integrable and chaotic spin-1/2 chains
- Classical many-body chaos with and without quasiparticles
- Subdiffusive front scaling in interacting integrable models
- Anomalous transport from hot quasiparticles in interacting spin chains
- Largest Lyapunov exponents for lattices of interacting classical spins
- Hydrodynamical phase transition for domain-wall melting in the XY chain
- Steady states and universal conductance in a quenched Luttinger model
- Magnetization and entanglement after a geometric quench in the XXZ chain
- Nonlinear Fluctuating Hydrodynamics for the Classical XXZ Spin Chain
- A class of states supporting diffusive spin dynamics in the isotropic Heisenberg model
- Free fermions at the edge of interacting systems
- Quantum versus Classical Dynamics in Spin Models: Chains, Ladders, and Square Lattices
- Exact hydrodynamic solution of a double domain wall melting in the spin-1/2 XXZ model
- Anomalous Dynamics and Equilibration in the Classical Heisenberg Chain
- Spinon and bound state excitation "light cones" in Heisenberg XXZ Chains
- Quenched dynamics in interacting one-dimensional systems: Appearance of current carrying steady states from initial domain wall density profiles
- Spin transport in the XXZ model at high temperatures: Classical dynamics versus quantum S=1/2 autocorrelations
- Exact large deviation function of spin current for the one dimensional XX spin chain with domain wall initial condition
- Front dynamics in the XY chain after local excitations
- Lyapunov instabilities in lattices of interacting classical spins at infinite temperature
- Nonequilibrium current-carrying steady states in the anisotropic spin chain
- Quantum caustics and the hierarchy of light cones in quenched spin chains
- Interface dynamics in the two-dimensional quantum Ising model
- Scaling of fronts and entanglement spreading during a domain wall melting
- Long-lived Solitons and Their Signatures in the Classical Heisenberg Chain
- Domain wall melting in spin-1 chains
- Exact time evolution formulae in the XXZ spin chain with domain wall initial state
- Logarithmic catastrophes and Stokes's phenomenon in waves at horizons
- Spatiotemporal dynamics of classical and quantum density profiles in low-dimensional spin systems
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- High-accuracy evaluation of non-thermal magnetic states beyond spin-wave theory: applications to higher-energy states
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