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Regensburg 2019 – wissenschaftliches Programm

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MA: Fachverband Magnetismus

MA 13: Frustrated Magnets - General 1 (joint session TT/MA)

MA 13.10: Vortrag

Dienstag, 2. April 2019, 12:00–12:15, Theater

Estimating the density of states of frustrated spin systems — •Martin Weigel1, Lev Barash2, Jeffrey Marshall3, and Itay Hen31Applied Mathematics Research Centre, Coventry University, Priory Street, Coventry, CV1 5FB, UK — 2Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia — 3Department of Physics and Astronomy, and Center for Quantum Information Science & Technology, University of Southern California, Los Angeles, California 90089, USA

Estimating the density of states of systems with rugged free energy landscapes is a notoriously difficult task of the utmost importance in many areas of physics ranging from spin glasses to biopolymers. Density of states estimation has also recently become an indispensable tool for the benchmarking of quantum annealers when these function as samplers. Some of the standard approaches suffer from a spurious convergence of the estimates to metastable minima, and these cases are particularly hard to detect. Here, we introduce a sampling technique based on population annealing enhanced with a multi-histogram analysis and report on its performance for spin glasses. We demonstrate its ability to overcome the pitfalls of other entropic samplers, resulting in some cases in orders of magnitude scaling advantages that can result in the uncovering of new physics. To do that we devise several schemes that allow us to achieve exact counts of the degeneracies of the tested instances.

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