  Light-induced conical intersections (LICIs) can be formed both by standing or
by running laser waves. The position of a LICI is determined by the laser
frequency while the laser intensity controls the strength of the nonadiabatic
coupling. Recently, it was shown within the LICI framework that linearly
chirped laser pulses have an impact on the dissociation dynamics of the
$D_{2}^{+}$ molecule (J. Chem. Phys. 143, 014305, (2015); ibid 144, 074309,
(2016)). In this work we exploit this finding and perform calculations using
chirped laser pulses in which the time dependence of the laser frequency is
designed so as to force the LICI to move together with the field-free
vibrational wave packet as much as possible. Since nonadiabaticity is strongest
in the vicinity of the conical intersection, this is the first step towards
controlling the dissociation process via the LICI. Our showcase example is
again the $D_{2}^{+}$ molecular ion. To demonstrate the impact of the LICIs on
the dynamical properties of diatomics, the total dissociation probabilities and
the population of the different vibrational levels after the dissociation
process are studied and discussed.
