Distribution of metastable states of Ising spin glasses

TL;DR

This paper introduces efficient sampling techniques for local minima in spin glasses, analyzing their spectra in models like Sherrington-Kirkpatrick and Edwards-Anderson, and comparing results with analytical predictions.

Contribution

It presents novel sampling methods for inherent structures in spin glasses and provides spectral analysis for key models, bridging simulation and theory.

Findings

Spectra of local minima are determined for models.

Sampling techniques improve exploration of energy landscapes.

Results align with analytical predictions.

Abstract

Local minima also known as inherent structures are expected to play an essential role for the behavior of spin glasses. Here, we propose techniques to efficiently sample these configurations in Monte Carlo simulations. For the Sherrington-Kirkpatrick and the three-dimensional Edwards-Anderson model their spectra are determined and compared to analytical results.