Umucalilar, R. O.Oktel, M. Ö.2016-02-082016-02-0820071050-2947http://hdl.handle.net/11693/23337We consider the Bose-Hubbard model in a two-dimensional rotating optical lattice and investigate the consequences of the effective magnetic field created by rotation. Using a Gutzwiller-type variational wave function, we find an analytical expression for the Mott insulator (MI)-superfluid (SF) transition boundary in terms of the maximum eigenvalue of the Hofstadter butterfly. The dependence of phase boundary on the effective magnetic field is complex, reflecting the self-similar properties of the single particle energy spectrum. Finally, we argue that fractional quantum Hall phases exist close to the MI-SF transition boundaries, including MI states with particle densities greater than one.EnglishBosonsCrystal latticesEigenvalues and eigenfunctionsHall effectMagnetic field effectsPhase boundariesMott insulatorQuantum Hall phasesMolecular dynamicsArticle10.1103/PhysRevA.76.055601