Triangular Bose-Hubbard trimer as a minimal model for a superfluid circuit

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16 Scopus citations


The triangular Bose-Hubbard trimer is topologically the minimal model for a BEC superfluid circuit. As a dynamical system of two coupled freedoms it has mixed phase space with chaotic dynamics. We employ a semiclassical perspective to study triangular trimer physics beyond the conventional picture of the superfluid-to-insulator transition. From the analysis of the Peierls-Nabarro energy landscape, we deduce the various regimes in the (Ω,u) parameter space, where u is the interaction and Ω is the superfluid rotation-velocity. We thus characterize the superfluid stability and chaoticity of the many-body eigenstates throughout the Hilbert space.

Original languageEnglish
Article number013601
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number1
StatePublished - 1 Jun 2014

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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