Fig. 4: Phase diagram for lineshape tailoring.

a Frequency difference \({\Delta} \tilde \omega\) (left panels) and radiation-damping difference \({\Delta} \tilde {\Gamma}\) (right panels) of the “dressed” modes versus Δω and t, with ΔΓ fixed at 2 (upper panels) and 0 (bottom panels), for a two-mode two-port system. b Phase-separation surfaces defined by \({\Delta} \tilde {\Gamma} = 0\) (red surface) and \({\Delta} \tilde {\Gamma} = \pm ({\Gamma} _1 + {\Gamma} _2)\) (green surface) versus Δω, t, and ΔΓ. c Optical lineshapes of the systems corresponding to the eight points defined on the black circle in the upper right panel of a. d Evolutions of the radiation damping of the two dressed modes (\(\tilde {\Gamma} _{\mathrm{ + }}\) and \(\tilde {\Gamma} _ -\)) while moving on the circle defined in the upper right panel of a. Here, all quantities are scaled by \(\sqrt {{\Gamma} _1{\Gamma} _2}\)