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Analytical results for the quantum non-Markovianity of spin ensembles undergoing pure dephasing dynamics

Dubertrand, Rémy ; Cesa, A. ; Martin, J.
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Abstract

We study analytically the non-Markovianity of a spin ensemble, with arbitrary number of spins and spin quantum number, undergoing a pure dephasing dynamics. The system is considered as a part of a larger spin ensemble of any geometry with pairwise interactions. We derive exact formulas for the reduced dynamics of the system and for its non-Markovianity as assessed by the witness of Lorenzo ...

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