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We study the evolution of reduced density matrix of an impurity coupled to aFermi sea after the coupling is switched on at time $t=0$. We find thenon-diagonal elements of the reduced density matrix decay exponentially, andthe decay constant is the impurity level width $\Gamma$. And we study theinformation transfer rate between the impurity and the Fermi sea, which alsodecays exponentially. And the decay constant is $k\Gamma$ with $k=2\sim 4$. Ourresults reveal the relation between information transfer rate and decoherencerate.

Decoherence of the two-level system coupled to a fermionic reservoir and the information transfer from it to the environment