Converting two-atom singlet state into three-atom singlet state via quantum Zeno dynamics

An approach is presented for converting a two-atom singlet state into a three-atom singlet state based on the quantum Zeno dynamics induced by continuous coupling. The scheme can be achieved within one step through appropriately regulating the Rabi frequencies of the classical fields. The effects of decoherence such as atomic spontaneous emission and the loss of cavity are also considered in virtue of the master equation. The numerical simulation result shows that this proposal is especially robust against the cavity decay, since no cavity-photon population is involved during the whole process because of the quantum Zeno dynamics. Furthermore, if a multilevel atom and a multi-mode cavity are applicable, the N-atom singlet state could be derived directly from the (N - 1)-atom singlet state with the same principle, which provides a scalable way for the preparation of vertical bar S-N > in theory.