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Abstract: We analyze the time evolution of an initial spatial coherence for a two levelatom whose internal degrees of freedom interact with a single mode of a cavityfield. When the qubit-field subsystem is taken as an environment, thetranslational dynamics experiences a decoherence process which may be encodedin a decoherence factor D. We find that the field statistics affects D throughthe alternative paths the system-environment may follow along theirentanglement, while eventual field phase properties give rise to an imaginarypart of D which is related to the atomic translation. From the decoherenceperspective, we analyze the relation between the atomic momentum and theimaginary part of the atomic spatial density matrix, and some considerations onits asymptotic behavior are brought into question at the conclusion of thepaper.

Autor: A. Vaglica, G. Vetri


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