Abstract
Fano resonance is a ubiquitous phenomenon,and it is commonly interpreted as a two-channel interference of the discrete and continuous channels.The present work investigates the Fano profile from a perspective of the temporal evolution of the wave function.By exciting the atom with a δ pulse and calculating the evolution of the wave function,the Fano formula is deduced.The results clearly show that the Fano resonance is of a three-channel interference,which is different from the traditional understanding.The three channels are revealed as the ground-continuum,ground-discrete-continuum,and a previously unmentioned third channel,i.e.,ground-continuum-discrete-continuum.The present three-channel interpretation can be easily generalized to other physical systems,contributing to a deeper understanding of the Fano profile.
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