Abstract
Delocalized excitons in elementary linear J aggregates of two-level molecules absorb a photon into the low-energy edge of an exciton band. Absorption of a second photon is blue-shifted as the lowest energy state is occupied. This setup of states leads to a double-peak feature in a set of two dimensional photon echo spectra for excitonic bands. The delocalization properties of excitons, thus, strongly affect the peak lineshapes and their relative amplitudes. Simulations of various two dimensional spectra of a linear J aggregate are presented and possible schemes to quantitatively characterize the peak profiles are suggested. This allows to relate observable peak lineshapes to the exciton delocalization.
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