A bstract We consider quantum algebras of observables associated with subregions in
theories of Einstein gravity coupled to matter in the GN→ 0 limit. When the subregion is …

A bstract In this paper we revisit the double cone wormhole introduced by Saad, Shenker
and Stanford (SSS), which was shown to reproduce the ramp in the spectral form factor. As a …

A bstract This letter explores a transition in the type of von Neumann algebra for
asymptotically AdS spacetimes from the implementations of the different gravitational …

A bstract The theory of modular flow has proved extremely useful for applying
thermodynamic reasoning to out-of-equilibrium states in quantum field theory. However, the …

A bstract We show how geometric phases may be used to fully describe quantum systems,
with or without gravity, by providing knowledge about the geometry and topology of its …

A bstract As a new ingredient for analyzing the fine structure of entanglement, we study the
symmetry resolution of the modular flow of U (1)-invariant operators in theories endowed …

A bstract We develop a holographic framework for describing the experience of bulk
observers in AdS/CFT, that allows us to compute the proper time and energy distribution …

A bstract Modular flow is a symmetry of the algebra of observables associated to space-time
regions. Being closely related to entanglement, it has played a key role in recent …

A bstract We construct an infinite class of eigenmodes with integer eigenvalues for the
Vacuum Modular Hamiltonian of a single interval N in 2d CFT and study some of its …

In this thesis I explore the interplay of geometry and quantum information theory via the
holographic principle, with a specific focus on geometric phases in quantum systems like …