Hydrodynamic behavior of non-interacting quantum particles in presence of dephasing

In quantum transport problems, thermal environment plays an important role. We demonstrate that additionally to suppressing transport via dephasing, the environment is able to induce new dynamic effects absent in an isolated system. In particular, we show that single particle or gas of free particle in presence of stochastic environment exhibits a formation of vortices and Poiseuille flow, the effects mainly considered as hydrodynamic behavior. We provide a detailed analysis of the phenomenon and derive equations for quasi-viscous flow. The environmentally induced quantum viscosity suggests new possible transport regimes accessible in solid-state devices, isolated atomic systems, and photonic quantum simulators.