Effective three-body interactions for bosons in a double-well confinement

@article{Dobrzyniecki2018EffectiveTI,
  title={Effective three-body interactions for bosons in a double-well confinement},
  author={Jacek Dobrzyniecki and Xikun Li and Anne Ellerup Nielsen and Tomasz Sowi'nski},
  journal={Physical Review A},
  year={2018},
  volume={97},
  pages={013609}
}
When describing the low-energy physics of bosons in a double-well potential with a high barrier between the wells and sufficiently weak atom-atom interactions, one can to a good approximation ignore the high energy states and thereby obtain an effective two-mode model. Here, we show that the regime in which the two-mode model is valid can be extended by adding an on-site three-body interaction term and a three-body interaction-induced tunneling term to the two-mode Hamiltonian. These terms… 

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