On-Site Potential Creates Complexity in Systems with Disordered Coupling

We calculate the average number of critical points N[over ¯] of the energy landscape of a many-body system with disordered two-body interactions and a weak on-site potential. We find that introducing a weak nonlinear on-site potential dramatically increases N[over ¯] to exponential in system size an...

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Bibliographic Details
Published in:Physical review letters 2023-06, Vol.130 (23), p.237103-237103, Article 237103
Main Authors: Gershenzon, I, Lacroix-A-Chez-Toine, B, Raz, O, Subag, E, Zeitouni, O
Format: Article
Language:English
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Summary:We calculate the average number of critical points N[over ¯] of the energy landscape of a many-body system with disordered two-body interactions and a weak on-site potential. We find that introducing a weak nonlinear on-site potential dramatically increases N[over ¯] to exponential in system size and give a complete picture of the organization of critical points. Our results extend solvable spin-glass models to physically more realistic models and are of relevance to glassy systems, nonlinear oscillator networks, and many-body interacting systems.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.130.237103