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.

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• Quasiballistic transport in long-range anisotropic Heisenberg model
• Thouless approach in transport in integrable and perturbed easy-axis Heisenberg chains
• Scaling of diffusion constants in perturbed easy-axis Heisenberg spin chains
• 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