Persistence of the intermediate weakly correlated regime in higher dimensions

Determine whether the intermediate weakly correlated regime identified in the one-dimensional disordered anisotropic Heisenberg chain persists in higher-dimensional Heisenberg-type systems, including two-dimensional geometries.

Background

The paper reports an intermediate dynamical regime produced by rotation-angle errors in a disordered one-dimensional Heisenberg chain. In this regime, the imbalance response becomes approximately stationary, selected short-range correlations are suppressed, and entanglement entropy and quantum Fisher information approach stationary values, yielding behavior reminiscent of Anderson localization.

The authors leave unresolved whether this regime is specific to the one-dimensional setting or survives in higher-dimensional Heisenberg-type systems. They identify two-dimensional geometries as a relevant setting for testing the roles of dimensionality, disorder, interactions, driving, and dissipation.