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Pré-Publication, Document De Travail Année : 2019

The driven-dissipative Bose-Hubbard dimer: phase diagram and chaos

A. Giraldo
  • Fonction : Auteur
B. Krauskopf
  • Fonction : Auteur
N. G. R. Broderick
  • Fonction : Auteur

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 $\mathbb{Z}_2$-symmetry 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.

Dates et versions

hal-02392837 , version 1 (04-12-2019)

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A. Giraldo, B. Krauskopf, N. G. R. Broderick, J. A. Levenson, A. M. Yacomotti. The driven-dissipative Bose-Hubbard dimer: phase diagram and chaos. 2019. ⟨hal-02392837⟩
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