Local suppression and enhancement of the pairing condensate under rotation

The rotation-induced inhomogeneous problem is nontrivial and inevitable. In this paper a generic framework is developed to investigate the inhomogeneous condensate in a system of fermions under the presence of rotation. It is a self-consistent method based on a set of relativistic Bogoliubov-de Gennes equations solved with typical iteration algorithm. Taking the chiral condensate as an example we study rotational effects numerically and discover two inhomogeneous effects: the local rotational suppression effect and centrifugal effect. They may have significant impact on the phase structure of various kinds of matter. Several systems in different physics branches are discussed in the paper.