Coherent phase control in ionization of Magnesium by a bichromatic laser field of frequencies \omega and 2\omega

We have investigated the coherent phase control on the (3p^{2}) autoionizing state (AIS) resonantly coupled with the ground state for Mg through a two- and a four-photon transition simultaneously, using a bichromatic linearly polarized laser field. The frequency is chosen such that the lasers are tunable around resonance with the transition (3s^{2}(^{1}S^e)\rightarrow 3p^{2}(^{1}S^e)), which implies (\omega_{f}=2.11) eV and (\omega_{h}=4.22) eV. We are interested in the modification of autoionizing (AI) line shape through the relative phase and laser intensities. A strong phase dependence on the total ionization yield and ionization rate is found. We also performed a time-dependent calculation which takes into consideration all the resonant states of the process.