We see evidence of bosonic coherent states everywhere. Lasers and microwave circuits naturally condense into photonic coherent states and resonators do the same except with phonons.
A coherent state is a state with an uncertainty in the number of quanta. This makes sense for bosons, but I cannot think of a situation where the same would happen for fermions. Yet I find a lot of articles that discuss fermionic coherent states with a remarkably similar formula as for bosons.
Is this just a mathematical trick or are there really situations where a fermionic field can exist with an indeterminate number of particles?