Abstract
Quantum phases of three-components Bose-Hubbard model are explored in a square lattice, subject to an external magnetic field. By employing an inhomogeneous Gutzwiller variational method, three types of stripe phases are discovered, including the vertical stripe, titled stripe, and horizontal stripe phase. We further identify the phase-separation in these stripe phases, where one of three components is vanishing in density, and the other two components come to stripe phases commensurately. Moreover, theoretical analysis manifests that the orientation of stripe is susceptible to magnetic flux. And an increasing magnetic flux can further transfer the vanishing density from one specific component to another.
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