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arXiv · 2206.10554

On-Site Potential Creates Complexity in Systems with Disordered Coupling

Igor Gershenzon·Bertrand Lacroix-A-Chez-Toine·Oren Raz·Eliran Subag·Ofer Zeitouni
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Abstract

We calculate the average number of critical points $\overline{\mathcal{N}}$ 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 $\overline{\mathcal{N}}$ 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.

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Igor Gershenzon, Bertrand Lacroix-A-Chez-Toine, Oren Raz, Eliran Subag, Ofer Zeitouni. 2023-04-07. On-Site Potential Creates Complexity in Systems with Disordered Coupling. https://doi.org/10.1103/physrevlett.130.237103

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