Perturbed Landau system and non-adiabatic Berry's phase in two dimensions

Abstract

By applying the time-independent unitary transformation, the time-dependent Landau system perturbed by an inverse square potential, is transformed into a product of a time-independent perturbed Landau system's Hamiltonian and a factor only depending on time, which can be solved exactly. At the periodical time-dependent case, the non-adiabatic Berry's phase is also presented.