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