Phase-Dependent Lineshape in Multiple Pump-Probe Interactions
The use of pump-probe techniques in spectroscopy is well-known in a number of contexts, and we will not attempt a literature review. Our interest here is in the lineshapes that are found in a certain long-time/short-time regime in which relative phasing of pump and probe fields can be critical. We consider times sufficiently short that all relaxation effects can be ignored, but sufficiently long that atomic response can be sensibly averaged over many Rabi periods. This long-time/short-time regime can only occur if the interesting Rabi frequencies are very much greater than all relaxation rates.
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