An efficient and selective laser-induced molecular stabilization with respect to dissociation is obtained by an appropriate shaping of an intense ultraviolet-visible laser pulse which ensures the adiabatic transport of the system onto an infinitely long-lived, zero-width Floquet resonance. Such a resonance is obtained for a frequency-dependent critical field intensity specific to each field-free initial vibrational state. This mechanism, illustrated here for the photodissociation of ${\text{H}}_2^{+}$ under a $\lambda =400\text{nm}$ intense laser pulse, opens the way to a control scenario of a selective preparation of a given vibrational level that could be used in the context of molecular cooling.

• Received 21 February 2008

DOI:https://doi.org/10.1103/PhysRevA.77.043413