Diffusion and entanglement in open quantum systems

Abstract

The macroscopic fluctuation theory provides a complete hydrodynamic description of non-equilibrium classical diffusive systems. As a first step towards a diffusive theory of open quantum systems, we show how to construct a microscopic open quantum system that exhibits genuine quantum diffusive scaling. Namely, the dynamics is diffusive and the density matrix is entangled in the hydrodynamic length and time scales.

manuscript followed by a supplementary material