Magnetization dynamics in clean and disordered spin-1 XXZ chains

Understand

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.