  Inspired by the electromagnetic duality, we propose an approach to realize
the fractional angular momentum by using a cold atom which possesses a
permanent magnetic dipole momentum. This atom interacts with two electric
fields and is trapped by a harmonic potential which enable the motion of the
atom to be planar and rotationally symmetric. We show that eigenvalues of the
canonical angular momentum of the cold atom can take fractional values when the
atom is cooled down to its lowest kinetic energy level. The fractional part of
canonical angular momentum is dual to that of the fractional angular momenta
realized by using a charged particle. Another approach of getting the
fractional angular momentum is also presented. The differences between these
two approaches are investigated.
