The concept of multidimensional coherent spectroscopy originated in NMR where it enabled the determination of molecular structure.  Migrating this method to the infrared and visible regimes is difficult because of the need to obtain full phase information about the emitted signal and for the phase difference between the excitation pulses to be stable and precisely incremented. I will give an introduction to optical two-dimensional coherent spectroscopy, using an atomic vapor as simple test system, and then present our use of it to study optical resonances in semiconductor nanostructures.

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