Temperature in thermodynamics is synonymous with disorder, and responsible for ultimately destroying ordered phases. Here, we show an unusual magnetic transition where, increasing the temperature of elemental neodymium, long-range multi-Q order emerges from a self-induced spin glass. Using temperature-dependent spin-polarized scanning tunneling microscopy, characterize local Q spin-Q glass phas...

Understanding the glassy nature of neural networks is pivotal both for theoretical and computational advances in Machine Learning Theoretical Artificial Intelligence. Keeping focus on dense associative Hebbian networks, purpose this paper two-fold: at first we develop rigorous mathematical approaches to address properly a statistical mechanical picture phenomenon {\em replica symmetry breaking}...

We show that the effective spin-spin interaction between three-level atoms confined in a multimode optical cavity is long-ranged and sign changing, like the RKKY interaction; therefore, ensembles of such atoms subject to frozen-in positional randomness can realize spin systems having disordered and frustrated interactions. We argue that, whenever the atoms couple to sufficiently many cavity mod...