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New diagrammatic Monte Carlo approaches to the quantum many-body problem

Riccardo Rossi, Flatiron Institute, NYC


Finding a way to numerically simulate many interacting quantum particles would be of great fundamental and practical value. I will discuss a broad class of approaches based on diagrammatic expansions that allows one to obtain numerically-exact results in a time polynomially increasing with the inverse of the requested precision. Recent advances allow one to include renormalization and non-perturbative information (e.g. Dynamical Mean Field Theory for lattice problems) in the expansion using a succinct, and, most importantly, very efficient, formalism.
I will present state-of-the-art numerically-exact results for the doped square-lattice Hubbard model, and the generic efficient code we have developed.

Agenda

séminaire

  • Mercredi 11 décembre 11:00-12:30 - Riccardo Rossi - Flatiron Institute, NYC

    New diagrammatic Monte Carlo approaches to the quantum many-body problem

    Résumé : Finding a way to numerically simulate many interacting quantum particles would be of great fundamental and practical value. I will discuss a broad class of approaches based on diagrammatic expansions that allows one to obtain numerically-exact results in a time polynomially increasing with the inverse of the requested precision. Recent advances allow one to include renormalization and non-perturbative information (e.g. Dynamical Mean Field Theory for lattice problems) in the expansion using a succinct, and, most importantly, very efficient, formalism.
    I will present state-of-the-art numerically-exact results for the doped square-lattice Hubbard model, and the generic efficient code we have developed.

    Lieu : Moyen amphi, bat 510, LPS


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