  In this article, we investigate the dissipative dynamics of a Fermi gas
trapped in a three-site optical lattice exposed to a fermionic environment. The
lattice sites admit at most one spin-up and one spin-down particle at a time
and its interaction with the fermionic environment cause particles to either be
trapped by or expelled from it. It is then shown that apart from each lattice
site being populated by at least one particle, spin exchange is observed, which
allows the possibility for the system to be used to encrypt information via
quantum cryptography. Furthermore, we also observe entanglement among the
lattice sites, denoting that transport of quantum information among particles
is possible in this ultracold atomic system.
