Two-particle states in one-dimensional coupled Bose-Hubbard models

@article{Li2022TwoparticleSI,
  title={Two-particle states in one-dimensional coupled Bose-Hubbard models},
  author={Yabo Li and D Schneble and Tzu-Chieh Wei},
  journal={Physical Review A},
  year={2022}
}
We study dynamically coupled one-dimensional Bose-Hubbard models and solve for the wave functions and energies of two-particle eigenstates. Even though the wave functions do not directly follow the form of a Bethe Ansatz, we describe an intuitive construction to express them as combinations of Choy-Haldane states for models with intraand inter-species interaction. We find that the two-particle spectrum of the system with generic interactions comprises in general four different continua and… 

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