Figure 4

(a), (c), (e) The final occupation on the dark state \(\vert d\rangle \), \(\rho _{dd}\), as a function of γ in (a), of \(\Omega _{0}\) in (c) and of \(T_{0}\) in (e). (b), (d), (f) Time evolution of \(\rho _{dd}\) for \(\gamma =1\) in (b), for \(\Omega _{0} = 8\) in (d), and for \(T_{0}=192\) in (f). The black solid lines in all the panels represent the exact solutions of Eq. (14), while the black dashed lines represent the analytic solutions of the simplified equations in Eqs. (27a)–(27c). The other parameters used are \(\tau =1\), \(\gamma =2\), \(\Omega _{0} = 2\), \(T_{0} = 16\) if not particularly specified