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

2013/08/31 by Geva Arwas, Amichay Vardi, Doron Cohen · 1 citation
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Dimer #Mathematical physics #Nuclear magnetic resonance #Physics #Quantum, superfluid, helium dynamics #Superfluidity #Trimer #cond-mat.mes-hall #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physreva.89.013601

published as Phys. Rev. A 89, 013601 (2014) · 12 pages, 8 figures, improved published version

openalex publication_date 2014/01/06 · arxiv created 2014/01/07 · arxiv updated 2014/01/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 (\ensuremathΩ,u) parameter space, where u is the interaction and \ensuremathΩ is the superfluid rotation-velocity. We thus characterize the superfluid stability and chaoticity of the many-body eigenstates throughout the Hilbert space.

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