Overlap locking and nonperturbative effects in spin glasses

• 成果类型: Article
• 署名作者: Franz, Silvio; Parisi, Giorgio; Ricci-Tersenghi, Federico
• 署名单位: Istituto Nazionale di Fisica Nucleare (INFN); University of Salento; Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); Beihang University; Istituto Nazionale di Fisica Nucleare (INFN); Sapienza University Rome
• 刊物名称: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
• ISSN/ISSBN: 0027-8424; 1091-6490
• DOI: 10.1073/pnas.2606171123
• 发表日期: 2026-06-23
• 页码: e2606171123
• 关键词: mean field models; bethe lattice; replica symmetry breaking; Bolthausen-Sznitman coalescent; fragility of glassy states; replica bounds; optimization

摘要

We study the phenomenon of the locking of the order parameter (or synchronization) in spin glasses at low temperatures. When two systems with independent disorders are coupled, their overlaps become similar. A crucial question is how this effect depends on the strength of the coupling between the two systems. Nonperturbative phenomena are present when 1 <