Chaos in a deformed Dicke model

Abstract The critical behavior in an important class of excited state quantum phase transitions is signaled by the presence a new constant motion only at one side energy. We study impact this phenomenon development chaos modified version paradigmatic Dicke model optics, which perturbation added that breaks parity symmetry. Two asymmetric energy wells appear semiclassical limit model, whose consequences are studied both classical and cases. Classically, Poincaré sections reveal degree not depends on initial condition chosen, but also particular well structure model. In case, Peres lattices physical observables show appearance critically conserved number provided motion. conservation law defined shown to allow for coexistence between regularity same further analyze onset relation with additional quantity can exhibit.