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It is shown that the fidelity of the dynamically evolved system with itsearlier time density matrix provides a signature of non-Markovian dynamics.Also, the fidelity associated with the initial state and the dynamicallyevolved state is shown to be larger in the non-Markovian evolution compared tothat in the corresponding Markovian case. Starting from the Krausrepresentation of quantum evolution, the Markovian and non-Markovian featuresare discerned in its short time structure. These two features are inconcordance with each other and they are illustrated with the help of fourmodels of interaction of the system with its environment.

Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian avataras