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The finite coupled bosonic model of reservoir introduced by Vasile et al. [1]to characterize non-Markovianity, is used to study the different dissipativebehaviors of a harmonic oscillator coupled to it when it is in resonance, closeto resonance or far detuned. We show that information and energy exchangebetween system and heat bath go hand in hand because phonons are the carriersof both: in resonance free propagation of excitations is achieved, andtherefore pure dissipation, while when far detuned the system can onlycorrelate with the first oscillator in the bath's chain, leading to almostunitary evolution. In the intermediate situation we show the penetration ofcorrelations and the formation of oscillatory (dressed state) behavior, whichlies at the root of non-Markovianity.

Energy and information propagation in a finite coupled bosonic heat bath