Event Details

Speaker: Jack Kemp, University of Cambridge

A broad class of integrable spin chains with non-Abelian symmetry have recently been shown to exhibit anomalous, superdiffusive transport with a dynamical exponent of 3/2. In the specific context of the integrable, SU(2)-symmetric Heisenberg spin-half chain, both numerics and experiments have further shown that under these superdiffusive dynamics the spin-spin autocorrelator is given by the Kardar–Parisi–Zhang (KPZ) universality class scaling function. In this talk, I will present numerical evidence that this result is generic: KPZ-like transport occurs not only in all short-range non-Abelian symmetric integrable spin chains, but also in their long-range, periodically-driven and supersymmetric counterparts. I will also discuss the experimental evidence for KPZ-like transport in the Heisenberg chain.