Berlin 2014 – wissenschaftliches Programm

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P: Fachverband Plasmaphysik

P 14: Poster Session - Theory and Modelling

P 14.9: Poster

Dienstag, 18. März 2014, 16:30–18:30, SPA Foyer

Configuration path integral Monte Carlo - Theory — •Simon Groth, Tim Schoof, David Hochstuhl, Alex Filinov, and Michael Bonitz — Institut für Theoretische Physik und Astrophysik, Christian-Albrechts Universität zu Kiel, Germany

The worm algorithm for configuration path integral Monte Carlo (CPIMC), based on the expansion of the one-particle Green function in a basis of (anti-)symmetrized N-particle states (configurations of occupation numbers), has been successfully applied to lattice models of bosonic systems in equilibrium [1]. Here, we present a generalization to correlated, fermionic many-particle systems with arbitrary pair interactions in continuous space at finite temperatures. The method does not rely on any approximations yielding exact results. Further, the sign problem of the presented method is complementary to that of the standard Direct fermionic path integral Monte Carlo (PIMC) [2] and thus allows for calculations of highly degenerate systems which are not accessible with PIMC. The algorithm including all Monte Carlo steps sufficient to ensure ergodicity is explained in detail. In an accompanying poster by Schoof et al., the application of the method is investigated for a test system of degenerate, Coulomb-interacting fermions in a two dimensional trap.
[1] N. V. Prokof’ev, B. V. Svistunov, and I. S. Tupitsyn, J. Exp. Theor. Phys. 87, 310 (1998)
[2] T. Schoof, M. Bonitz, A. Filinov, D. Hochstuhl, and J. Dufty, Contrib. Plasma Phys. 51, 687 (2011)