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Controlling the non-Markovian dynamics of open quantum systems is essentialin quantum information technology since it plays a crucial role in preservingquantum memory. Albeit in many realistic scenarios the quantum system cansimultaneously interact with composite environments, this condition remainslittle understood, particularly regarding the effect of the coupling betweenenvironmental parts. We analyze the non-Markovian behavior of a qubitinteracting at the same time with two coupled single-mode cavities which inturn dissipate into memoryless or memory-keeping reservoirs. We show thatincreasing the control parameter, that is the two-mode coupling, allows fortriggering and enhancing a non-Markovian dynamics for the qubit starting from aMarkovian one in absence of coupling. Surprisingly, if the qubit dynamics isnon-Markovian for zero control parameter, increasing the latter enablesmultiple transitions from non-Markovian to Markovian regimes. These resultshold independently on the nature of the reservoirs. This work highlights thatsuitably engineering the coupling between parts of a compound environment canefficiently harness the quantum memory, stored in a qubit, based onnon-Markovianity.

Harnessing non-Markovian quantum memory by environmental coupling