Spin diffusion in perturbed isotropic Heisenberg spin chain

Abstract

The isotropic Heisenberg chain represents a particular case of an integrable many-body system exhibiting superdiffusive spin transport at finite temperatures. Here, we show that this model has distinct properties also at finite magnetization $m\ne 0$, even upon introducing the SU(2) invariant perturbations. Specifically, we observe nonmonotonic dependence of the diffusion constant ${\mathcal{D}}_0(\Delta )$ on the spin anisotropy $\Delta$, with a pronounced maximum at $\Delta =1$. The latter dependence remains true also in the zero magnetization sector, with superdiffusion at $\Delta =1$ that is remarkably stable against isotropic perturbation (at least in finite-size systems), consistent with recent experiments with cold atoms.

arXiv comment5+5 pages, 4+5 figures

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• Kardar-Parisi-Zhang scaling in the Hubbard model
• Slow crossover from superdiffusion to diffusion in isotropic spin chains
• Spin-1/2 XXZ chain coupled to two Lindblad baths: Constructing nonequilibrium steady states from equilibrium correlation functions
• Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin-1/2 chains with different boundary conditions
• Scaling of diffusion constants in perturbed easy-axis Heisenberg spin chains
• Diagnosing quantum transport from wave function snapshots
• Einstein relation for subdiffusive relaxation in Stark chains
• Entanglement transitions in a boundary-driven open quantum many-body system
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• Nontrivial damping of magnetization currents in perturbed spin chains