Monte Carlo

Within the overall theme of the Simons Collaboration on the Many Electron Problem, we aim to design, develop, implement and test Monte Carlo methods for correlated electron systems.

The Monte Carlo Group will develop new methods, based on Monte Carlo evaluations of summations performed in abstract spaces, for computing fully renormalized interparticle interactions, both in model systems and for long-ranged interactions, in particular the Coulomb interaction, and will interface these to the work of the real materials and tensor networks groups. Initial goals will include a comprehensive solution of the Hubbard model (including comparison between dynamical mean-field and diagrammatic Monte Carlo methods and to results obtained by tensor network methods, development of the methodology needed to treat Coulomb interactions, and inclusion of realistic lattice potentials.

Participants

Emanuel Gull, Ph.D.

Emanuel Gull, who is a Professor at the University of Michigan, works in the general area of computational condensed matter physics with a focus on the study of correlated electronic systems in and out of equilibrium.

Nikolay Prokof’ev is Professor of Physics at the University of Massachusetts, Amherst since 1999.

Boris Svistunov joined the Physics Department of the University of Massachusetts, Amherst in 2003.

Shiwei Zhang, Ph.D.

Senior Research Scientist, CCQ

Shiwei Zhang joined the Center for Computational Quantum Physics as a Senior Research Scientist/Group Leader in 2018. He is also Chancellor Professor of Physics at the College of William & Mary

Monte Carlo

Within the overall theme of the Simons Collaboration on the Many Electron Problem, we aim to design, develop, implement and test Monte Carlo methods for correlated electron systems.

Participants

Emanuel Gull, Ph.D.

Nikolay Prokof’ev, Ph.D.

Boris Svistunov, Ph.D.

Shiwei Zhang, Ph.D.