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In this work we investigate the different states of a system of spin-1 bosonsin two potential wells connected by tunneling, with spin-dependent interaction.The model utilizes the well-known Bose-Hubbard Hamiltonian, adding a localinteraction term that depends on the modulus of the total spin in a well,favoring a high- or low-spin state for different signs of the couplingconstant. We employ the concept of fidelity to detect critical values ofparameters for which the ground state undergoes significant changes. The natureof the states is investigated through evaluation of average occupation numbersin the wells and of spin correlations. A more detailed analysis is done for atwo-particle system, but a discussion of the three-particle case and someresults for larger numbers are also presented.

Ground-states of spin-1 bosons in asymmetric double-wells