Skip to Content

Iterative path integral simulations of nonequilibrium quantum transport and dissipation


We develop an iterative, numerically exact approach for the treatment of nonequilibrium quantum transport and dissipation problems that
avoids the real-time sign problem associated with standard Monte-Carlo techniques. The method requires a well-defined decorrelation time of
the non-local influence functional for proper convergence to the exact limit. Since this finite degree of non-locality may arise either from
temperature or a voltage drop, the approach is ideally suited for the description of the real-time dynamics of single-molecule
devices and quantum dots driven to a steady-state via interaction with two or more electron leads. We numerically investigate two
non-trivial models: The evolution of the nonequilibrium population of a two-level system coupled to two electronic reservoirs, and quantum
transport in the nonequilibrium Anderson model.