  We discuss the possibility of observing quantum nonlocality using the
so-called mode entanglement, analyzing the differences between different types
of particles in this context. We first discuss the role of coherent states in
such experiments, and we comment on the existence of coherent states in nature.
The discussion of coherent states naturally raises questions about the role of
particle statistics in this problem. Although the Pauli exclusion principle
precludes coherent states with a large number of fermionic particles, we find
that a large number of fermionic coherent states, each containing at most one
particle, can be used to achieve the same effect as a bosonic coherent state
for the purposes of this problem. The discussion of superselection rules arises
naturally in this context, because their applicability to a given situation
prohibits the use of coherent states. This limitation particularly affects the
scenario that we propose for detecting the mode entanglement of fermionic
particles.
