Seminário do Grupo de Física Estatística: "Quantum Entanglement in Random and Inhomogeneous Spin Chains"

Entanglement can be quantified in bipartite systems using the entanglement entropy which is, in many cases, bounded by an area law. Nonetheless, some critical 1D systems violate this area law and present logarithmic corrections which are parametrized by the central charge of the associated conformal field theory (CFT). Furthermore, other violations to the area law may appear in random systems and inhomogeneous systems. I will discuss some properties of entanglement in random hopping models, focusing on the similarities between the CFT predictions for the clean case and the strong disorder Renormalization Group predictions. Moreover, I will discuss the engineering of an inhomogeneous fermionic system, in order to obtain a maximal growth of the block entanglement entropy in the ground state. I will show that the deformation parameter allows us to interpolate between an uniform model and the strong disorder limit, which is a maximally entangled state called the rainbow state.