Data of the publication "Real-time broadening of bath-induced density profiles from closed-system correlation functions"

The Lindblad master equation is one of the main approaches to open quantum systems. While it has been<br> widely applied in the context of condensed matter systems to study properties of steady states in the limit<br> of long times, the actual route to such steady states has attracted less attention yet. Here, we investigate the<br> nonequilibrium dynamics of spin chains with a local coupling to a single Lindblad bath and analyze the transport<br> properties of the induced magnetization. Combining typicality and equilibration arguments with stochastic<br> unraveling, we unveil for the case of weak driving that the dynamics in the open system can be constructed<br> on the basis of correlation functions in the closed system, which establishes a connection between the Lindblad<br> approach and linear response theory at finite times. In this way, we provide a particular example where closed and<br> open approaches to quantum transport agree strictly. We demonstrate this fact numerically for the spin-1/2 XXZ<br> chain at the isotropic point and in the easy-axis regime, where superdiffusive and diffusive scaling is observed,<br> respectively.