On-Site Potential Creates Complexity in Systems with Disordered Coupling
arXiv:2206.10554 · doi:10.1103/PhysRevLett.130.237103
Abstract
We calculate the average number of critical points 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 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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