Stuttgart 2012 – wissenschaftliches Programm

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P: Fachverband Plasmaphysik

P 15: Poster: Theorie/Modellierung

P 15.16: Poster

Mittwoch, 14. März 2012, 16:30–19:00, Poster.III

Configuration path integral Monte Carlo simulation of correlated fermions — •Tim Schoof¹, Michael Bonitz¹, Alexej Filinov¹, David Hochstuhl¹, and Alexander Penney² — ¹Institut für Theoretische Physik und Astrophysik, Christian-Albrechts Universität zu Kiel, Germany — ²Department of Physics & Astronomy, University of Calgary, Canada

A novel path integral Monte Carlo (PIMC) approach for correlated many-particle systems with arbitrary pair interaction in continuous space at finite temperatures is presented [1,2]. It is based on a representation of the N-particle density operator in a basis of (anti-)symmetrized N-particle states (configurations of occupation numbers). Formally exact expressions for the thermodynamic quantities are obtained by a transition from discrete to continuous imaginary time representation [3]. The method is applied to degenerate, correlated fermions in a two dimensional trap. The efficiency of the method (fermion sign problem) is investigated for a broad range of temperatures, coupling parameters and particle numbers and compared to a standard path integral Monte Carlo method and an exact diagonalization method.

[1] T. Schoof, M. Bonitz, A. Filinov, D. Hochstuhl, and J. Dufty, Contrib. Plasma Phys. 51, 687 (2011)

[2] T. Schoof, Thermodynamische Eigenschaften entarteter, korrelierter Fermionen, Diplomarbeit, Universität Kiel (2011)

[3] N.V. Prokof’ev, B.V. Svistunov, and I.S. Tupitsyn, JETP Lett. 64, 911 (1996)