Entanglement Olografico da radiazione per la presenza di local quenches

In this thesis, we explore aspects of the Black Hole Information Paradox within the framework of AdS/CFT. Black Hole evaporation leads to an intriguing paradox: during the evaporation a pure state seems to evolve into a mixed one, inconsistently with unitary evolution in Quantum Mechanics. But why AdS/CFT? The AdS/CFT correspondence shows Unitarity, making the mentioned paradox naturally resolved and providing compelling insights into the physical mechanism underlying the evaporation. Our work builds upon the seminal work of Shinsei Ryu and Tadashi Takayanagi, which establishes a link between Holographic Entanglement Entropy and the computation of the area of a minimal surface defined on a certain interval. We evaluated this observable in the AdS vacuum scenario and subsequently introduced a local quench in a boundary Conformal Field Theory, that is the holographic counterpart of a massive particle in the bulk. By taking the difference between these two cases, we obtain a non-trivial behaviour that can be physically interpreted as radiation emitted by a Black Hole. The computations are performed analytically in d=2 and numerically in d=3 dimensions, broadening the extent and the depth of our findings.