Dresden 2017 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 20: Poster Session: Correlated Electrons 2

TT 20.6: Poster

Montag, 20. März 2017, 15:00–19:00, P2-OG1

Stochastic analytic continuation of Quantum Monte Carlo data — •Niklas Casper and Wolfram Brenig — Institute for Theoretical Physics, Technical University Braunschweig, Germany

Analytical continuation of imaginary time data from Quantum Monte Carlo methods is a notoriously complicated numerical task which is mathematically ill posed. Recently, stochastic analytic continuation (SAC) methods, which map the inversion from imaginary time to real frequencies onto a classical field theory at a fictitious temperature, have been introduced as a potential superset of conventional maximum entropy methods (MEM). We provide a complementary analysis of spectra obtained from SAC as well as MEM, resulting from various test models, as well the dynamic structure factor of a prototypical spin chain. We analyze the thermodynamics of the SAC considering various proposals for the choice of an optimal fictitious temperature. Moreover, we implement an auxiliary parallel Wang-Landau algorithm to provide for an unbiased determination of the spectrum, using the prior probability.