  Quantum noise reduction below the shot noise limit is a signature of
light-matter quantum interaction. A limited amount of squeezing can be obtained
along the transient evolution of a two-level system resonantly interacting with
a harmonic mode. We propose the use of optimal quantum control over the
two-level system to enhance the transient noise reduction in the harmonic mode
in a system described by the Jaynes-Cummings model. Specifically, we propose
the use of a sequence of Gaussian pulses in a given time window. We find that
the correct choice of pulse times can reduce the noise in the quadrature field
mode well below the shot noise, reaching reductions of over 80$\%$. As the
Jaynes-Cummings model describes a pivotal light-matter quantum system, our
approach for noise reduction provides an experimentally feasible protocol to
produce a non-trivial amount of squeezing with current technology.
