Long-time dynamics of the infinite-temperature Heisenberg magnet

Abstract

Infinite-temperature long-time dynamics of Heisenberg model $\hat{\mathbf{H}}=-\frac{1}{2}{\sum }_{i,j}{J}_{ij}{\hat{\vec{S}}}_i{\hat{\vec{S}}}_j$ is investigated. It is shown that the quantum spin pair-correlator is equal to the correlator of classically evaluated vector field averaged over the initial conditions with respect to the gaussian measure. In the continious limit case the scaling estimations allow one to find one-point correlator that turns out to be $C(\vec{r}=0;t)\propto const\times t^{-6/7}$. All results are obtained by straightforward procedure without any assumptions of the phenomenological character.

arXiv comment11 pages, RevTex 3.0, to be published in PRB Feb. 1994

Cited by in corpus (4)

• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Quantum correlations at infinite temperature: the dynamical Nagaoka effect
• Anomalous and regular transport in spin 1/2 chains: AC conductivity
• Quantum generative model for sampling many-body spectral functions