Quantum Zeno Effect Induced by Quantum Measurement of Momentum of Atomic Mass Center

In this article, we obtained the factorization form of the evolution operator corresponding to the Hamiltonian which describes the interaction of a two-level atom with one propagating mode in an optical ring cavity and the exact solution is followed. A new scheme for realizing quantum Zeno effect is proposed by measuring the atomic momentum (external state) frequently to freeze the atomic energy state (internal state) in its initial energy state.