High order perturbative methods for out of equilibrium quantum many-body systems. Quantum quasi-Monte Carlo and beyond.
ORAL · Invited
Abstract
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.
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.
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Publication: Macek et al, Phys. Rev. Lett. 125, 047702 (2020), <br> Bertrand et al Phys. Rev. B 103, 155104 (2021)<br>
Presenters
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Olivier P Parcollet
Simons Foundation
Authors
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Olivier P Parcollet
Simons Foundation