Semiclassical theory of quantum stochastic resistors

We devise a semiclassical model to describe the transport properties of low-dimensional fermionic lattices under influence external quantum stochastic noise. These systems behave as resistors, where bulk particle is diffusive and obeys Ohm/Fick's law. Here, we extend previous exact studies beyond one-dimensional limit ladder geometries explore different dephasing mechanisms that are relevant physical systems, from solid-state cold atoms. show how description useful explain nontrivial dependence conductance these on chemical potential reservoirs. This provides an intuitive simpler interpretation in resistors good quantitative agreement with numerical solution. Moreover, find ladders insensitive coherence process along direction transverse transport, despite fact system reaches stationary states.