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

Asymptotic entangled states from the dissipative interaction of two charged fields