Temperature chaos in 3D Ising Spin Glasses is driven by rare events

TL;DR

This study reveals that temperature chaos in 3D Ising Spin Glasses is a strong, rare-event phenomenon that can be detected with large deviations analysis and large-scale simulations, challenging previous notions of its weakness.

Contribution

The paper introduces a large-deviations functional approach and utilizes unprecedented large-scale data to demonstrate the strength of temperature chaos in 3D Ising Spin Glasses.

Findings

Temperature chaos is driven by rare events with strong effects.

Large deviations analysis reveals the size dependence of chaos.

Chaos effects are significant even at short distances.

Abstract

Temperature chaos has often been reported in literature as a rare-event driven phenomenon. However, this fact has always been ignored in the data analysis, thus erasing the signal of the chaotic behavior (still rare in the sizes achieved) and leading to an overall picture of a weak and gradual phenomenon. On the contrary, our analysis relies on a large-deviations functional that allows to discuss the size dependencies. In addition, we had at our disposal unprecedentedly large configurations equilibrated at low temperatures, thanks to the Janus computer. According to our results, when temperature chaos occurs its effects are strong and can be felt even at short distances.