As shown in the figure, the two atoms are trapped in two separate cavities which can be coupled directly, and the coupling strength is χ. In addition, the two atoms have the same three-level structure, two ground states |0⟩, |1⟩, and one excited state |2⟩ corresponding to energy ω₀, ω₁, and ω₂ respectively, and the energy levels |0⟩ and |2⟩ of atom 1 (2) are coupled by adding laser Ω₁₍₂₎(t), and the energy levels |1⟩ and |2⟩ are coupled by cavity, and the coupling strength is g_{1 (2)}. Here, the detuning between energy levels |1⟩ and |2⟩ is equal to Δ.