By introducing the notion of non-Markovianlly scaled time/energy scales, I will discuss the role of non-Markovian dynamics in the survival of quantum correlations in driven out-of-equilibrium and thermal equilibrium scenarios. I will also discuss applications of these ideas in biologically-inspired systems and nano mechanical resonators. Specifically, I will elaborate on (i) the role of non-Markovian dynamics in supporting one-photon phase control and (ii) the interplay between optimally modulated driving fields and structured environment in nano-optomechanical systems. Time permitting, I will discuss how the theory of open quantum systems can be utilized to derive quantum equations of motion that describe classical collective phenomena such as synchronization.
Institute of Physics, University of Antioquia