  Atom-optics kicked rotor represents an experimentally realizable version of
the paradigmatic quantum kicked rotor system. After a short initial diffusive
phase the cloud settles down to a stationary state due to the onset of
dynamical localization. In this work we realise an enhancement of localization
by modification of the kick sequence. We experimentally implement the
modification to this system in which the sign of the kick sequence is flipped
by allowing for a free evolution of the wavepackets for half the Talbot time
after every $M$ kicks. Depending on the value of $M$, this modified system
displays a combination of enhanced diffusion followed by asymptotic
localization. This is explained as resulting from two competing processes --
localization induced by standard kicked rotor type kicks, and diffusion induced
by half Talbot time evolution. The evolving states display a localized but
non-exponential wave function profiles. This provides another route to quantum
control in kicked rotor class of systems. The numerical simulations agree well
with the experimental results.
