Effects of Dark Matter in magnetometers, atomic and astrophysical phenomena

Energy density of dark matter exceeds that for ordinary matter 5 times. However, dark matter still has not been detected since it interacts with ordinary matter very weekly. Effects in the scattering experiments searching for dark matter are proportional to the fourth power of the extremely small interaction constant. We suggest to measure effects which are linear in this constant.
The boson dark matter particles produced after Big Bang may form a Bose condensate and/or topological defects. In contrast to traditional dark matter searches, effects produced by interaction of an ordinary matter with this condensate and defects may be first power in the underlying interaction strength.
New effects include spin rotations measured by high precision magnetometers, slow drift and oscillating variation of the fundamental constants (fine structure constant and particle masses), oscillating effects of violation of the fundamental symmetries including electric dipole and anapole moments of nuclei, atoms and molecules, atomic clocks and giant interferometers, and changes in the pulsars (neutron stars) frequencies including star quakes (which may have been observed already in pulsar glitches).