Dresden 2011 – scientific programme

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 6: Focus Session: GPU Computing (with DY) - Contributed Talks

SOE 6.2: Talk

Monday, March 14, 2011, 15:15–15:30, GÖR 226

Interacting many-body simulations using graphics processing units — •Tobias Kramer — Institute for Theoretical Physics, Uni Regensburg

Already the solution of the interacting classical many-body problem is difficult to achieve, since the integration of the equations of motions couples all positions of the particles contained in the system. Transport calculations in nanodevices require to include the contacts within the simulation and to study the effect of interactions there.

Classical and quantum-mechanical equations of motions can be related by the time-dependent variational principle as we detail for Coulombic interacting electrons in a magnetic field (1). Interacting systems require to carefully consider the questions of self-consistency, since all particles must be linked together and it is not possible to run one particle trajectory after each other. The emergence of an mean-field potential out of a large (10000 electrons!) many-body calculation is shown in (2). The calculation is only possible due to our usage of graphics processing units, which are ideal tools to study interacting systems.

(1) T. Kramer, Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions, arxiv:1009.6051 (2) T. Kramer, V. Krueckl, E. Heller, and R. Parrott Self-consistent calculation of electric potentials in Hall devices, Phys. Rev. B, 81, 205306 (2010)