High order perturbative methods for out of equilibrium quantum many-body systems. Quantum quasi-Monte Carlo and beyond.

I will review some recent developments of numerically exact approaches based on

high order perturbation theory for quantum many-body systems in strongly

interacting regimes, in equilibrium or out of equilibrium.

I will show how non-stochastic methods, e.g. low-discrepancy sequences (quasi-Monte Carlo)

can largely outperform diagrammatic Quantum Monte Carlo for some models, with a better convergence rate.

The techniques will be illustrated with calculations for quantum dots, e.g. the Kondo ridge.