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We show the existence of dynamical purity swapping phenomena in theJaynes-Cummings model. Moreover we show that purity swapping between a qubitand a generic quantum system is possible, provided they are coupled vianon-unitary matrix elements interaction. We particularize to the case of aquantum optical Ramsey interferometer. We show that using purity swapping, aperfect interference pattern can be obtained at the output port of theinterferometer even if we start from totally unpolarized sources. This featureis shown to be associated with the phenomena of recreation of the state vectorat half of the revival time. In fact, we show that the Gea-Banacloche attractoris robust against degradation of the purity of the qubit input state. We alsoshow that the Tsallis entropy T2 is a useful entanglement monotone allowing oneto relate directly entanglement with purity exchange in interacting systems. Weconjecture an Araki-Lieb type inequality for T2 that bounds the maximuminterchange of purity between interacting systems.

Purity Swapping in the Jaynes-Cummings Model: Obtaining Perfect Interference Patterns from Totally Unpolarized Qubits