The driven-dissipative Bose-Hubbard dimer: phase diagram and chaos
Résumé
We present the phase diagram of the mean-field driven-dissipative Bose-Hubbard dimer model. For a dimer with repulsive on-site interactions (U > 0) and coherent driving we prove that Z2symmetry breaking, via pitchfork bifurcations with sizable extensions of the asymmetric solutions, require a negative tunneling parameter (J < 0). In addition, we show that the model exhibits deterministic dissipative chaos. The chaotic attractor emerges from a Shilnikov mechanism of a periodic orbit born in a Hopf bifurcation and, depending on its symmetry properties, it is either localized or not.
Domaines
Dynamique Chaotique [nlin.CD]Origine | Fichiers produits par l'(les) auteur(s) |
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