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We show that decoherence is determined by the effective Hilbert space size,and demonstrate that a few degrees of freedom system can simulate a "N" degreesof freedom environment if they have the same effective Hilbert space. Theeffective Hilbert space size of the environment also determines its long timeefficiency as generator of irreversible coherence loss.

Decoherence and Irreversibility: the role of the reservoir effective Hilbert space size