In fully connected models, integrability remains robust against non-extensive and extensive one-body perturbations but becomes extremely fragile under extensive two-body perturbations, which trigger chaos at infinitesimal strength within symmetry-defined energy bands and produce fragmented eigenstte
Lynden-Bell, Statistical mechanics of violent relax- ation in stellar systems, Monthly Notices of the Royal Astronomical Society 136, 101 (1967)
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Fragmented eigenstate thermalization versus robust integrability in long-range models
In fully connected models, integrability remains robust against non-extensive and extensive one-body perturbations but becomes extremely fragile under extensive two-body perturbations, which trigger chaos at infinitesimal strength within symmetry-defined energy bands and produce fragmented eigenstte