Asymptotic entangled states from the dissipative interaction of two charged fields

We construct a field theory for dissipative systems using a hypercomplex ring formalism that reproduces naturally the effective doubling field formulation of dissipative systems of thermal field theory. The system is quantized by a noncanonical ansatz that gives the unitarity of the system is conserved. Asymptotically entangled states are constructed to introduce the study of the ergodicity of systems that undergo entanglement.