Mott-superfluid transition of q-deformed bosons

• We study the effect of q-deformed bosons on superfluid transition.
• A mean-field theory is employed.
• Bosons can change statistics due to deformation of the commutation rules.
• Statistically induced quantum phase transition is found.

The effect of q-deformation of the bosonic algebra on the Mott-superfluid transition for interacting lattice bosons described by the Bose–Hubbard model is studied using mean-filed theory. It has been shown that the Mott state proliferates and the initial periodicity of the Mott lobes as a function of the chemical potential disappears as the q-deformation increases. The ground state phase diagram as a function of the q-parameter exhibits superfluid order, which intervenes in narrow regions between Mott lobes, demonstrating the new concept of statistically induced quantum phase transition.