  Collective modes manifest themselves in a variety of different physical
systems ranging from superconductors to superfluid $^{3}$He. The collective
modes are generated via the Higgs-Anderson mechanism that is based on the
symmetry breaking double well potential. Recently collective modes were
explored in superconducting NbN and InO in the presence of a strong terahertz
laser field. In both cases a single collective mode that oscillates with twice
the frequency of the superconducting energy gap $\Delta$ was discovered.
Superfluid $^{3}$He is the host for a whole variety of collective modes. In
particular, in the superfluid $^{3}$He B-phase, two massive collective modes
were found with masses $\sqrt{{8}/{5}}\Delta$ and $\sqrt{{12}/{5}}\Delta$. We
show that for both cases of the superconducting films and for the superfluid
$^{3}$He B-phase, the collective modes satisfy the Nambu identity that relates
the masses of different collective modes to the energy gap parameter $\Delta$.
