  We report on the first results of the Noble and Alkali Spin Detectors for
Ultralight Coherent darK matter (NASDUCK) collaboration. We search for the
interactions of Axion-Like Particles (ALPs) with atomic spins using an
earth-based precision quantum detector as it traverses through the galactic
dark matter halo. The detector is composed of spin-polarized xenon gas which
can coherently interact with a background ALP dark matter field and an in-situ
rubidium Floquet optical-magnetometer. Conducting a five months-long search, we
derive new constraints on ALP-proton and ALP-neutron interactions in the
$4\times 10^{-15}-4\times 10^{-12}{~\rm eV/c^2}$ mass range. Our limits on the
ALP-proton (ALP-neutron) couplings improve upon previous terrestrial bounds by
up to 3 orders of magnitude for masses above $4\times 10^{-14}{~\rm eV/c^2}$
($4\times 10^{-13}{~\rm eV/c^2}$). Moreover, barring the uncertain supernova
constraints, the ALP-proton bound improves on all existing terrestrial and
astrophysical limits, partially closing the unexplored region for couplings in
the range $10^{-6}~{\rm GeV^{-1}}$ to $2\times 10^{-5}~{\rm GeV^{-1}}$.
Finally, we also cast bounds on pseudo-scalar dark matter models in which dark
matter is quadratically-coupled to the nucleons.
