• optimal control
• optimization
• quantum batteries
• quantum information

In this thesis we will focus on the study of the so-called ‘‘Quantum Batteries’’, i.e. quantum mechanical systems for energy storage, where quantum effects can be used to obtain more efficient and faster charging processes with respect to classical systems.
We present a systematic analysis of several models of Quantum Batteries charging processes, involving two-level systems and quantum harmonic oscillators.
In order to find the best charging processes for our Quantum Batteries, we will use some features of Quantum Control Theory, that studies how a quantum state can be guided into a new chosen state of the Hilbert space of the system and how we can make use of this ability to control our system in order to reach a given objective.