Triangular Bose-Hubbard trimer as a minimal model for a superfluid circuit
arXiv:1308.5860 · doi:10.1103/PhysRevA.89.013601
Abstract
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 parameter-space, where is the interaction, and is the superfluid rotation-velocity. We thus characterize the superfluid-stability and chaoticity of the many-body eigenstates throughout the Hilbert space.
12 pages, 8 figures, improved published version
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Cited by in corpus (22)
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