  We study the properties of transmissivity of a beam of atoms traversing an
optical lattices loaded with ultracold atoms. The transmission properties as
function of the energy of the incident particles are strongly dependent on the
quantum phase of the atoms in the lattice. In fact, in contrast to the
Mott-insulator regime, the absence of an energetic gap in the spectrum of the
superfluid phase enables the atoms in the optical lattice to adapt to the
presence of the beam. This induces a feedback process that has a strong impact
on the transmittivity of the atoms. Based on the corresponding strong
dependency we propose the implementation of a speed sensor with and estimated
sensitivity of $10^8 - 10^9$m/s/$\sqrt{\rm Hz}$, which we characterize via the
Fisher information. We apply our findings to a bosonic $Li-Rb$ mixture, which
is relevant for experiments with ultracold atoms. Applications of the presented
scheme are discussed.
