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Dissipative Dynamics Of Fermion-Fermion Scattering In A Three-Site Optical Lattice

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.