Regensburg 2010 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 1: Statistical Physics (general) I
DY 1.3: Talk
Monday, March 22, 2010, 10:45–11:00, H47
Fast Converging Path Integrals for Time-Dependent Potentials — •Antun Balaž1, Ivana Vidanović1, Aleksandar Bogojević1, and Axel Pelster2,3 — 1Scientific Computing Laboratory, Institute of Physics Belgrade, Belgrade, Serbia — 2Fachbereich Physik, Universität Duisburg-Essen, Duisburg, Germany — 3Universität Potsdam, Campus Golm, Potsdam-Golm, Germany
We calculate the short-time expansion of the propagator for a general many-body quantum system in a time-dependent potential to orders that have not been accessible before, thus extending a previously developed approach for time-independent potentials [1].
To this end the propagator is expressed in
terms of a discretized effective potential, for which we derive and analytically solve a set of recursion relations [2]. Such a discretized effective potential can be
used to substantially speed up numerical Monte Carlo simulations for path integrals, or to set-up various analytic approximation techniques to study dynamic properties of
quantum systems in time-dependent
potentials. The analytically derived results are numerically verified by treating several simple one-dimensional
models.
[1] A. Balaž, A. Bogojević, I. Vidanović, A. Pelster, Phys. Rev. E 79, 036701 (2009)
[2] A. Balaž, I. Vidanović, A. Bogojević, A. Pelster, arXiv:0912.2743