We put the Density-of-States (DoS) approach to Monte-Carlo (MC) simulations under a stress test by applying it physical problem with worst possible sign problem: real time evolution of non-integrable quantum spin chain. Benchmarks against numerical exact diagonalisation and stochastic reweighting are presented. Both MC methods, DoS reweighting, allow for chains as long $L=40$, far beyond diagon...

The Lindblad master equation is one of the main approaches to open quantum systems. While it has been widely applied in context condensed matter systems study properties steady states limit long times, actual route such attracted less attention yet. Here, we investigate nonequilibrium dynamics spin chains with a local coupling single bath and analyze transport induced magnetization. Combining t...