Figure 3.
Experimentally reconstructed temporal modes and their theoretical predictions for the cases without modulation (a), with virtual phase modulation (b), and with phase-randomized EOM modulation (c). For each case, the first and second panels show the real (first) and imaginary (second) parts of the TDM, with the insets showing corresponding theoretical plots. The third and fourth panels show the TDM's primary eigenvector as reconstructed from experimental data (solid red) and theoretical modeling (dashed blue). The green dotted line in (c) also shows the diagonal of the TDM, which is not affected by the modulation as expected from Equation (10). The insets in the third panels show the distribution of eigenvalues (red bars) obtained experimentally. Without EOM modulation (a, b), the theoretically expected mode is pure so the TDM is expected to have only one nonvanishing eigenvector. In the case with EOM modulation (c), the TDM is mixed and the solid blue dots in the inset show theoretical eigenvalues. The trigger photon arrives at t = 155 ns for (a), (b) and at t = 145 ns for (c). EOM, electro-optic modulator; TDM, temporal density matrix.
