A carefully tuned three-site extended Bose-Hubbard model with nearest-neighbour interactions is integrable and solved exactly by a Bethe ansatz.
Mesoscopic ensembles of polar bosons in triple-well potentials
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abstract
Mesoscopic dipolar Bose gases in triple-well potentials offer a minimal system for the analysis of the long-range character of the dipole-dipole interactions. We show that this long-range character may be clearly revealed by a variety of possible ground-state phases. In addition, an appropriate control of short-range and dipolar interactions may lead to novel scenarios for the dynamics of atoms and polar molecules in lattices, including the dynamical creation of mesoscopic Schr\"odinger cats, which may be employed as a source of highly-nonclassical states for Heisenberg-limited interferometry.
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Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions
A carefully tuned three-site extended Bose-Hubbard model with nearest-neighbour interactions is integrable and solved exactly by a Bethe ansatz.