Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion

The Kardar-Parisi-Zhang (KPZ) universality class describes the coarse-grained behavior of a wealth of classical stochastic models. Surprisingly, KPZ universality was recently conjectured to also describe spin transport in the one-dimensional quantum Heisenberg model. We tested this conjecture by experimentally probing transport in a cold-atom quantum simulator via the relaxation of domain walls in spin chains of up to 50 spins. We found that domain-wall relaxation is indeed governed by the KPZ dynamical exponent z = 3/2 and that the occurrence of KPZ scaling requires both integrability and a nonabelian SU(2) symmetry. Finally, we leveraged the single-spin-sensitive detection enabled by the quantum gas microscope to measure an observable based on spin-transport statistics. Our results yield a clear signature of the nonlinearity that is a hallmark of KPZ universality.

Automated summary

Researchers experimentally investigated the relaxation of domain walls in spin chains in a cold-atom quantum simulator and found that it is governed by the KPZ dynamical exponent. They also discovered that the occurrence of KPZ scaling requires both integrability and a nonabelian SU(2) symmetry. Additionally, they used a quantum gas microscope to measure an observable based on spin-transport statistics and observed the nonlinearity characteristic of KPZ universality.