Magnetization-induced reordering of ground states phase diagram in a two-component Bose-Hubbard model

We investigate the influence of non-zero magnetization on the ground-state phase diagram of the two-component Bose-Hubbard model. Employing a mean-field theoretical framework, both analytically and numerically, we demonstrate that positions and sizes of specific phases on the diagram are magnetization dependent. In particular, non-zero magnetization introduces different Mott insulator phase boundaries for each of the two components. This effect leads to the emergence of a hybrid phase characterized by the coexistence of superfluid in one of the components and Mott insulator in the another one. Our findings highlight the important role of a conserved quantities, which is magnetization here, in reshaping the phase landscape, significantly influencing the stability and emergence of distinct quantum phases.