Liouville space coupling schemes and their respective double sided Feynman diagrams for three of the six pathways in Liouville space which contribute to . The complex conjugates are not shown. All the pathways proceed only via coherences, created by the interactions with the two laser fields shown as incoming arrows, where solid arrows stand for and dashed arrows for .
The total signal vs the relative phase of the laser fields for the case of no pure dephasing (solid curves) and for (dashed curves). The pulse width for the two cases is varied as follows: (a) (circles), (diamonds) and (b) (squares), (triangles).
The channel phase vs the photon energy centered at the resonance energy in the absence of pure dephasing [panel (a)] and for [panel (b)]. The intermediate state lifetime is and the laser pulses are Gaussian with pulse widths of 4 (dotted), 20 (dashed), 40 (dot-dashed), 60 (dot-dot-dashed), and (solid curve).
The channel phase vs the photon energy centered at the intermediate state peak for and . The laser pulses are Gaussian with pulse widths of 4 (dotted), 20 (dashed), 40 (dot-dashed), 80 (dot-dot-dashed), and (solid).
The channel phase vs the final state energy for and . The pulse durations are as in Fig. 4. Panel (a) corresponds to resonant excitation of the intermediate state, , and panel (b) to red-detuned excitation, .
The photoemission signal as a function of the time delay between two phase-locked Gaussian pulses with pulse width of for resonance excitation. (a) For two distinct excitation pathways, . (b) For identical pathways, . The solid slender curves correspond to and solid thick curves to . in all cases.
As in Fig. 6 for and pulse widths of 4 (curve a) and (curve b).
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