Dephasing enhanced transport in boundary-driven quasiperiodic chains

We study dephasing-enhanced transport in boundary-driven quasi-periodic systems. Specifically we consider dephasing modelled by current preserving Lindblad dissipators acting on the non-interacting Aubry-Andr\'e-Harper (AAH) and Fibonacci bulk The former is known to undergo a critical localization transition with suppression of ballistic above value potential. At point, presence non-ergodic extended states yields anomalous sub-diffusion. model, other hand, continuously varying exponent depending potential strength. By computing covariance matrix non-equilibrium steady-state, show that sufficiently strong always renders diffusive. interplay between quasi-periodicity gives rise maximum diffusion coefficient for finite dephasing, which suggests combination geometries can be used control noise-enhanced transport.