In Fig. , we present the similar decomposition of the Non-Rephasing spectra at different population times, t 2 , for N = 5 molecules coupled to the cavity mode. Panels (a)-(d) represent the GSB, SE, ESA, and the total Non-Rephasing spectra at t 2 = 0 fs. In panel (a) we observe the appearance of anti-diagonally elongated peaks at (ℏω 1 ≈ -50 meV, ℏω 3 ≈ -50 meV) and (ℏω 1 ≈ 50 meV, ℏω 3 ≈ 50 meV) which are the location of lower and upper polariton eigenstates respectively. We also observe the cross-diagonal peaks at (ℏω 1 ≈ -50 meV, ℏω 3 ≈ 50 meV) and (ℏω 1 ≈ 50 meV, ℏω 3 ≈ -50 meV) indicating the coherent energy transfer between the brightpolariton eigenstates via the non-rephasing GSB pathway. Due to its non-rephasing nature, the cross-diagonal peaks are also anti-diagonally elongated. As we move to panel (b), we see the appearance of SE peaks only along the diagonals, but no cross-diagonal peaks. Upon inspecting the Feynman diagram corresponding to the non-rephasing SE signal (R so we do not observe any cross peaks. In panel (c), we present the ESA spectrum with the appearance of diagonal peaks which are relatively shifted along the ω 3 axis when compared to the diagonal peaks of SE and GSB. Just like the Rephasing ESA pathway, this can again be attributed to the difference of transition energies when exciting from first to second excited manifold in comparison to ground to first excited manifold. Panel (d) represents the overall non-rephasing spectra at t 2 = 0 fs. The diagonal peaks appear at the same location as in GSB and SE signals. The cross peaks appear at the same location as the cross peaks of the total Rephasing spectra and the overall intensity is mostly dominated by the contribution from GSB and SE signals. As we move down in each column, the relative lineshapes remain comparable to early t 2 but the contribution from the ESA signal is increasing in the overall non-rephasing signal as can be verified by the increase in the negative ESA signal along the diagonal peaks in panel (f).