Téma: Monte-Carlo Approach to Stationary Non-equilibrium of Mesoscopic Systems

Abstract: 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]. Employing a two-dimensional analytical continuation based on maxium entropy, we are able to calculate different local quantities in stationaery non-equilibrium, like current, magnetization or double occupancy. We will compare our results to others obtained by different methods like time-dependent numerical renormalization, real-time quantum Monte-Carlo or real-time density-matrix renormalization group.

[1] J.E. Han and R.J. Heary, Phys. Rev. Lett. 99, 236808 (2007).
[2] A. Dirks, Ph. Werner, M. Jarrell, and Th. Pruschke, Phys. Rev. E 82, 26701 (2010).