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

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

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 intra- …