Diagrammatic Monte Carlo simulation of non-equilibrium systems

Philipp Werner

Theoretische Physik, ETH Zürich, Switzerland


Quantum impurity models play an important role as representations of molecular conductors and in the ``dynamical mean field" method, currently one of the most promising tools for studying the physics of fermionic lattice models. Despite their zero-dimensional nature, the numerical simulation of impurity models remains a challenging task. Progress has been achieved with the recent development of diagrammatic Monte Carlo techniques, which rely on a stochastic sampling of appropriate collections of diagrams. I will explain the implementation of the diagrammatic technique on the Keldysh contour, which allows the study of transport and relaxation dynamics in non-equilibrium systems.

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