Precision measurement noise asymmetry and its annual modulation as a
  dark matter signature
  Dark matter may be composed of self-interacting ultralight quantum fields
that form macroscopic objects. An example of which includes Q-balls, compact
non-topological solitons predicted by a range of theories that are viable dark
matter candidates. As the Earth moves through the galaxy, interactions with
such objects may leave transient perturbations in terrestrial experiments. Here
we propose a new dark matter signature: an asymmetry (and other
non-Gaussianities) that may thereby be induced in the noise distributions of
precision quantum sensors, such as atomic clocks, magnetometers, and
interferometers. Further, we demonstrate that there would be a sizeable annual
modulation in these signatures due to the annual variation of the Earth
velocity with respect to dark matter halo. As an illustration of our formalism,
we apply our method to 6 years of data from the atomic clocks on board GPS
satellites and place constraints on couplings for macroscopic dark matter
objects with radii R < 10^4 km, the region that is otherwise inaccessible using
relatively sparse global networks.
