Steering the electron in dissociating H2+ via manipulating two-state population dynamics by a weak low-frequency field

We propose a scheme to steer the electron localization in dissociating ${{\mathrm{H}}_{2}}^{+}$ by using the combination of a phase-stabilized few-cycle mid-infrared laser pulse and a low-frequency field. Via manipulating the population dynamics in the $1s{\ensuremath{\sigma}}_{g}$ and $2p{\ensuremath{\sigma}}_{u}$ states by the weak low-frequency field, the dissociative wave packets on these two degenerate states of opposite parities are managed to share the same kinetic energy and overlap in space. By adjusting the carrier-envelope phase of the mid-infrared pulse or simply changing the intensity of the low-frequency field, the electron localization induced by the spatial interference of the two dissociation pathways can be efficiently controlled.