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Journal of Statistical Mechanics Theory and Experiment

Exact solution of the extended dimer Bose–Hubbard model with multi-body interactions

Feng Pan, Dongkang Li, Sai Cui, Z. Yu, Ziwei Feng, Jerry Paul Draayer

Published Apr 1, 2020• 3 citations
Publisher

Abstract

Abstract 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.

DOI
10.1088/1742-5468/ab7a21

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