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arXiv · 1910.09708

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

A. Giraldo·B. Krauskopf·N. G. R. Broderick·J. A. Levenson·A. M. Yacomotti
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Abstract

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.

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A. Giraldo, B. Krauskopf, N. G. R. Broderick, J. A. Levenson, A. M. Yacomotti. 2020-01-20. The driven-dissipative Bose-Hubbard dimer: phase diagram and chaos. https://doi.org/10.1088/1367-2630%2Fab7539

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