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We address the dynamics of quantum correlations for a bipartitecontinuous-variable quantum system interacting with its fluctuatingenvironment. In particular, we consider two independent quantum oscillatorsinitially prepared in a Gaussian state, e.g. a squeezed thermal state, andcompare the dynamics resulting from local noise, i.e. oscillators coupled totwo independent external fields, to that originating from common noise, i.e.oscillators interacting with a single common field. We prove non-Markovianity(non-divisibility) of the dynamics in both regimes and analyze the connectionsbetween non-divisibility, backflow of information and revivals of quantumcorrelations. Our main results may be summarized as follows: (i) revivals ofquantumness are present in both scenarios, however, the interaction with acommon environment better preserves the quantum features of the system; (ii)the dynamics is always non-divisible but revivals of quantum correlations arepresent only when backflow of information is present as well. We conclude thatnon-divisibility in its own is not a resource to preserve quantum correlationsin our system, i.e. it is not sufficient to observe recoherence phenomena.Rather, it represents a necessary prerequisite to obtain backflow ofinformation, which is the true ingredient to obtain revivals of quantumness.

physical review. a/physical review, a

Non-divisibility vs backflow of information in understanding revivals of  quantum correlations for continuous-variable systems interacting with  fluctuating environments