is the photonic bath that describes coupling between cavity mode qc and the far field non-cavity modes { xj }, giving rise to cavity loss. The cavity loss bath is also characterized by a spectral density J c (ω) ≡ π 2 j c2 j ωj δ(ω -ωj ). By performing harmonic analysis to the equations of motion it is shown that the model Hamiltonian of Eq. 2 can be transformed (through a normal mode transformation) into the following effective Hamiltonian 18,19