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New experimental techniques based on non-linear ultrafast spectroscopies havebeen developed over the last few years, and have been demonstrated to providepowerful probes of quantum dynamics in different types of molecular aggregates,including both natural and artificial light harvesting complexes. Fouriertransform-based spectroscopies have been particularly successful, yet'complete' spectral information normally necessitates the loss of allinformation on the temporal sequence of events in a signal. This informationthough is particularly important in transient or multi-stage processes, inwhich the spectral decomposition of the data evolves in time. By going throughseveral examples of ultrafast quantum dynamics, we demonstrate that the use ofwavelets provide an efficient and accurate way to simultaneously acquire bothtemporal and frequency information about a signal, and argue that this greatlyaids the elucidation and interpretation of physical process responsible fornon-stationary spectroscopic features, such as those encountered in coherentexcitonic energy transport.

Time-frequency resolved ultrafast spectroscopy techniques using wavelet analysis