Linear build-up of Fano resonance spectral profiles

Abstract

The build-up dynamics of a continuous spectrum under the action of a weak laser field on a Fano resonance with the use of the pulses with the Lorentz spectrum and ultrashort pulses in the wavelet form is investigated. A dispersion-time excitation dependence of the Fano resonances in a He atom, in an InP impurity semiconductor, in longitudinal optical LO-phonons of a shallow donor exciton in pure ZnO crystals, and in metamaterials are calculated. The numerical simulation of the dynamics has shown time-dependent formation a Fano spectral profile in the systems of different physical natures under the action of ultrashort pulses with attosecond and femtosecond durations.

The spectroscopic correspondence principle for the time evolution of quantum transitions under the action of electromagnetic pulses

“…These eigenfrequency and oscillator strength values correspond to the transition 1s-2p in a hydrogen atom and radiative width γ corresponds to a collisional broadening regime in plasma with density about 10 18 cm −3 . Note that the time equal to zero on the graphs corresponds to zero time in the formula for the electric field strength (13).…”

“…The following photoprocesses with attosecond time resolution are studied experimentally and theoretically: photoionization of chiral molecules [7], atoms of helium [10], neon [8], and krypton [9], the dynamics of electrons in multielectron atoms [11], the dynamics of photoexcitation of a hydrogen atom [12], the dynamics of formation of a Fano resonance [13][14][15].…”