  The measured multi-dimensional spectral response of different light
harvesting complexes exhibits oscillatory features which suggest an underlying
coherent energy transfer. However, making this inference rigorous is
challenging due to the difficulty of isolating excited state coherences in
highly congested spectra. In this work, we provide a coherent control scheme
that suppresses ground state coherences, thus making rephasing spectra
dominated by excited state coherences. We provide a benchmark for the scheme
using a model dimeric system and numerically exact methods to analyze the
spectral response. We argue that combining temporal and spectral control
methods can facilitate a second generation of experiments that are tailored to
extract desired information and thus significantly advance our understanding of
complex open many-body structure and dynamics.
