Emergence and control of complex behaviors in driven systems of interacting qubits with dissipation

Abstract Progress in the creation of large-scale, artificial quantum coherent structures demands investigation their nonequilibrium dynamics when strong interactions, even between remote parts, are non-perturbative. Analysis multiparticle correlations a large system presence decoherence and external driving is especially topical. Still, scaling behavior related emergent phenomena not yet well understood. We investigate how driven several elements (e.g., qubits or Rydberg atoms) changes with increasing number elements. Surprisingly, two-element exhibits chaotic behaviors. For larger sizes, highly stochastic, far from equilibrium, hyperchaotic regime emerges. Its complexity systematically scales size system, proportionally to Finally, we demonstrate that these can be efficiently controlled by periodic field. The insights provided our results indicate possibility reduced description for terms transitions its qualitatively different dynamical regimes. These relatively small parameters, which may prove useful design, characterization, control structures.