  Our goal is to provide a new approach to the construction of geometry-induced
entanglement between a pair of $\Lambda$ type atoms in a system consists of $N$
identical atoms by means of nonadiabatic quantum holonomies. By employing the
quantum Zeno effect, we introduce a tripod type interaction Hamiltonian between
two selected atoms trapped in an optical cavity, which allows arbitrary
geometric entangling power. This would be a substantial step toward resolving
the feasibility of realizing universal nonadiabatic holonomic entangling
two-qubit gates.
