# 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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