Phase control in photodissociation of H2 using pairs (ω,ω) of chirped laser fields

We discuss the phase control in photodissociation of H-2 from the ground level X (v = 0, j = 0) to the continua of the GK and I electronic states using pairs of phase-locked laser fields of same frequencies. At the first step, a circularly polarized and shaped laser pulse of frequency omega(1) near resonantly couples the ground level X (v = 0, j = 0) with the two closely spaced nonadiabatically coupled intermediate levels B(v = 14, j = 1) and C(v = 3, j = 1). At the second step, these two intermediate levels are coupled to the dissociative continua by a linearly polarized and shaped laser pulse of suitable frequency omega(2). The single-pulse laser field of omega(1) frequency is considered to be replaced by a pair (omega(1),omega(4)) of chirped and phase-locked (phi(1)) laser field at the first step, while for the second step, the laser pulse of omega(2) frequency is considered to be replaced by a pair (omega(2),omega(2)) of chirped and phase-locked (phi(2)) laser field. We studied the phase control of the dissociation dynamics for all possible combinations of laser fields of these two steps. Variations of the relative phase differences between the two laser fields of the phase-locked shaped laser pulse pair (omega(1),omega(1)) and (omega(2),omega(2)) result in the control of the photodissociation dynamics of the hydrogen molecule. We demonstrate heavily enhanced phase controllability of the dissociation dynamics due to the chirping of the laser fields. Nonadiabatic interactions between the intermediate levels and predissociating bound levels have been incorporated into our calculation.