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To advance hierarchial equations of motion as a standard theory for quantumdissipative dynamics, we put forward a mixed Heisenberg--Schrodinger schemewith block-matrix implementation on efficient evaluation of nonlinear opticalresponse function. The new approach is also integrated with optimizedhierarchical theory and numerical filtering algorithm. Different configurationsof coherent two-dimensional spectroscopy of model excitonic dimer systems areinvestigated, with focus on the effects of intermolecular transfer coupling andbi-exciton interaction.

Advancing hierarchical equations of motion for efficient evaluation of coherent two-dimensional spectroscopy