Monte-Carlo approach to stationary non-equilibrium of mesoscopic systems

Calculating properties of correlated systems out of equilibrium is a challenging task, even if one targets only stationary situations. In particular, transport through nano-objects like molecules or quantum dots is of strong interest, and a theory to calculate transport properties or merely local quantities in a reliable way for reasonably strong correlations very desirable. Based on a suggestion by Han and Heary [1] we show that one can use advanced quantum Monte-Carlo techniques to calculate quantities with high accuracy [2]. Although the ultimate goal will be to extract current or conductance respectively thermoelectric effects, a first step is to calculate local properties, like the double occupancy or magnetization, as function of external bias.