Deterministic generation of singlet states for $$N$$ N -atoms in coupled cavities via quantum Zeno dynamics

Abstract

We propose an efficient scheme to drive two atoms in two coupled cavities into a two-atom singlet state via quantum Zeno dynamics and virtual excitations by one step. Then, we convert the two-atom singlet state into a three-atom singlet state in three coupled bimodal cavities with the same principle. We also discuss the influence of decoherence induced by cavity decay and atomic spontaneous emission by numerical calculation. This scheme is robust against both the cavity decay and atomic spontaneous emission since there are no excited cavity fields involved during the operation process, and the atoms are only virtually excited. Actually, if multi-level atoms and multi-mode cavities are applicable, we can convert the ($$n-1$$n-1)-atom ($$n\ge 3$$n?3) singlet state into a $$n$$n-atom singlet state in coupled cavity arrays with the same principle in theory.