Energy in quantum systems: control and applications in new technologies
In this monograph, we present two works that have been done during this doctorate so far. Such works fit the general theme related to the energy control in quantum systems and its possible applications in new technologies. In the first work, we deal with population control via an electromagnetic pulse in a two-level system in the presence of an environment. To obtain the pulse, we use a specific approach, called reverse-engineering, which is characterized by the imposition of constraints in the system dynamics. We then show how the environment affects the control of the system and the limits for such control, which depends on the parameters that characterize the environment. The results of this work were recently published in Phys. Rev. A 100, 012103 (2019). In the second paper, we discuss the energy transport properties of interferometric qubit chain. We begin by analyzing how the symmetry properties of the chain lead to multiple stationary states with distinct transport properties. Next, we show that by including a mechanism called Bell dissipator, we can "intelligently" break this symmetry, allowing us to have robust control of the energy transport in the chain. Finally, we finish this monograph by presenting some general conclusions and commenting on future work, including a sandwich doctorate.