Add to ORKGA phase damping reservoir composed by $N$-bosons coupled to a system of interest through a cross-Kerr interaction is proposed and its effects on quantum superpo sitions are investigated. By means of analytical calculations we show that: i-) the reservoir induces a Gaussian decay of quantum coherences, and ii-) the inher ent incommensurate character of the spectral distribution yields irreversibility . A decoherence time and a master equation are both derived analytically. These results, which have been extended for the thermodynamic limit, show that non-dis sipative decoherence can be suitably contemplated within the EID approach. Final ly, it is shown that the same mechanism yielding decoherence are also responsibl e for inducing dynamical...
