Exact solution of the extended dimer Bose-Hubbard model with multi-body interactions
Document Type
Article
Publication Date
4-1-2020
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.
Publication Source (Journal or Book title)
Journal of Statistical Mechanics Theory and Experiment
Recommended Citation
Pan, F., Li, D., Cui, S., Zhang, Y., Feng, Z., & Draayer, J. (2020). Exact solution of the extended dimer Bose-Hubbard model with multi-body interactions. Journal of Statistical Mechanics Theory and Experiment, 2020 (4) https://doi.org/10.1088/1742-5468/ab7a21