Random spin distributions and the diffusion equation

Abstract

We show that the probability distribution corresponding to a fully random tracial state of a system of spin-S particles satisfies a diffusion-like equation. The diffusion coefficient turns out to be equal to $S(S+1)/6$, where $S$ is the magnitude of the spin of each particle. We also present a bosonization scheme for the lowering and raising total spin operators.

10 pages

References in corpus (2)

• A nontrivial bosonic representation of large spin systems at high temperatures
• Aspects of the decoherence in high spin environments: Breakdown of the mean-field approximation