We note that in Fig. , there is a slight contraction of the Rabi splitting when we increase the cavity loss Γ, for example, when we increase Γ from 50 meV to 100 meV. This contraction is caused by cavity loss. When explicitly considering the cavity loss rate Γ and the matter loss rate κ, the Jaynes-Cummings model Hamiltonian in the {|G, 1⟩, |e, 0⟩} subspace is expressed as (without including the field zero-point energy ℏω c /2)