On the other hand, when the cavity frequency is far detuned from the exciton energy such that |∆ω| ≫ √ N g c , the mixing angle Θ N → 0 (blue-detuning limit, ω c ≫ ω x + λ) or Θ N → π/2 (red-detuning limit, ω c ≪ ω x + λ). Under this circumstance, the time scale of Rabi oscillation is much longer than the phonon bath, which means the polaron decoupling arguments no longer hold. As a result, the system behaves like a decoupled one where the polariton states akin to pure exciton/photon states, i.e.,