  We present a scheme for implementing the unconventional geometric two-qubit
phase gate with nonzero dynamical phase by using the two-channel Raman
interaction of two atoms in a cavity. We show that the dynamical phase acquired
in a cyclic evolution is proportional to the geometric phase acquired in the
same cyclic evolution, hence the the total phase possesses the same geometric
features as the geometric phase. In our scheme the atomic excited state is
adiabatically eliminated and the operation of the proposed logic gate involves
only in the metastable states of the atom and hence is not affected by
spontaneous emission.
