Quantum systems are always subjected to the phenomenon of decoherence, this being caused by fluctuations in Hamiltonian parameters, or by the interaction of the system with the environment, in this case, characterizing an open dynamics. Usually, the environment is modeled by an infinite set of other non-interacting quantum systems and their features are intrinsic to the physical architecture considered. Nevertheless, the increasing experimental control of quantum systems in current technologies, such as superconducting circuits and ion traps, has allowed one to minimize the effects, or even to use the environment as an ally in certain tasks, such as energy transport and generation of quantum states. Naturally, such control possibility can generate open quantum dynamics with particular properties. In this context, this work aims at the elaboration of microscopic models of open dynamics that can be tested experimentally, for example, with quantum technologies mentioned above. Specifically, in this report we highlight our results obtained for (i) construction of a finite pure-dephasing environment with superconducting circuits and for (ii) reservoir engineering through a collisional model with a trapped ion. While in the first one we investigate fundamental aspects of decoherence, such as its dependence on the structure and number of elements in the

environment, in the second we revisit the asymptotic generation of ionic’s vibrational states by an alternative approach, taking into consideration the pulsed interaction of the ion with classical lasers. In both cases, we obtain analytical expressions supported

by numerical simulations. Finally, we also discuss the next steps of this PhD project, which include a research internship in an experimental group abroad for the simulation of open quantum systems with superconducting circuits.