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Coherent optimal control of multiphoton molecular excitation

We give a framework for molecular multiphoton excitation processes induced by an optimally designed electric field. The molecule is initially prepared in a coherent superposition state of two of its eigenfunctions. The relative phase of the two superposed eigenfunctions has been shown to control the optimally designed electric field which triggers multiphoton excitation in the molecule. This brings forth flexibility in designing the optimal field in the laboratory by suitably tuning the molecular phase and hence by choosing the most favourable interfering routes that the system follows to reach the target. We follow the quantum fluid dynamical formulation for designing the electric field for the HBr molecule.