It is shown that the extended one-dimensional dimer Bose–Hubbard model with multi-body interactions can be solved exactly by using the algebraic Bethe ansatz mainly due to the site-permutation S 2 symmetry. The solution for the model with up to three-particle hopping and three-body on-site interaction is explicitly shown. As an example of the application, lower part of the excitation energy levels and the ground-state entanglement measure of the standard Bose–Hubbard Hamiltonian with the attractive two-body on-site interaction plus the three-body on-site interaction for 100 bosons with variation of the control parameter are calculated by using the exact solution. It is shown that the attractive three-body on-site interaction reinforces the critical point entanglement of the system, which may be helpful for design of an optical lattice for ultracold atoms or a tuneable superconducting quantum interference device with maximal entanglement.

中文翻译：

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具有多体相互作用的扩展二聚体Bose-Hubbard模型的精确解

结果表明，扩展的具有多体相互作用的一维二聚体Bose-Hubbard模型可以通过使用代数Bethe ansatz精确求解，这主要是由于位点置换S 2对称性。明确显示了具有三粒子跳跃和三体现场交互作用的模型的解决方案。以应用为例，标准玻色-哈伯哈密顿量的激发能级较低，基态纠缠量度具有诱人的两体现场相互作用以及100玻色子的三体现场相互作用。使用精确解可以计算出控制参数的变化。结果表明，有吸引力的三体现场交互作用增强了系统的临界点纠缠，