From dissipationless to normal diffusion in easy-axis Heisenberg spin chain

Abstract

The anomalous spin diffusion of the integrable easy-axis Heisenberg chain originates in the ballistic transport of symmetry sectors with nonzero magnetization. Ballistic transport is replaced by normal dissipative transport in all magnetization sectors upon introducing the integrability-breaking perturbations, including external driving. Such behavior implies that the diffusion constant obtained for the integrable model is relevant for the spread of spin excitations but not for the spin conductivity. We present numerical results for closed systems and driven open systems, indicating that the diffusion constant shows a discontinuous variation as the function of perturbation strength.

References in corpus (42)

• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• Transport and conservation laws
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Finite-temperature transport in one-dimensional quantum lattice models
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Hydrodynamic Diffusion in Integrable Systems
• Quasilocal charges in integrable lattice systems
• Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
• Spin transport in a tunable Heisenberg model realized with ultracold atoms
• Families of quasi-local conservation laws and quantum spin transport
• Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
• Integrability and ideal conductance at finite temperatures
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
• Diffusion in generalized hydrodynamics and quasiparticle scattering
• Microscopic origin of ideal conductivity in integrable quantum models
• Super-diffusion in one-dimensional quantum lattice models
• Ground State and Finite Temperature Lanczos Methods
• Evidence for ideal insulating/conducting state in a 1D integrable system
• Prethermalization and Thermalization in Isolated Quantum Systems
• Real-time and real-space spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures
• Transport in Almost Integrable Models: Perturbed Heisenberg Chains
• Hydrodynamics of weak integrability breaking
• Finite Temperature Dynamical Correlations using the Microcanonical Ensemble and the Lanczos Algorithm
• Stability of superdiffusion in nearly integrable spin chains
• Time-dependent generalized Gibbs ensembles in open quantum systems
• Spin transport in the XXZ chain at finite temperature and momentum
• Spin conductivity in almost integrable spin chains
• Lower Bounding Diffusion Constant by the Curvature of Drude Weight
• Anomalous scaling of conductivity in integrable fermion systems
• Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
• Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
• Weak integrability breaking: chaos with integrability signature in coherent diffusion
• Integrable Mott insulators driven by finite electric field
• Coexistence of Anomalous and Normal Diffusion in Integrable Mott Insulators
• Subdiffusive hydrodynamics of nearly-integrable anisotropic spin chains
• Finite temperature mobility of a particle coupled to a fermion environment
• Coexistence of diffusive and ballistic transport in integrable quantum lattice models
• Multiple relaxation times in perturbed XXZ chain

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• Hydrodynamic fluctuations of stochastic charged cellular automata
• Einstein relation for subdiffusive relaxation in Stark chains
• Entanglement transitions in a boundary-driven open quantum many-body system
• Nontrivial damping of magnetization currents in perturbed spin chains
• Boundary-driven magnetization transport in the spin-$1/2$ XXZ chain: Role of the system-bath coupling strength and timescales