Results about entanglement (or modular) Hamiltonians of quantum many‐body systems in
field theory and statistical mechanics models, and recent applications in the context of …

A bstract We study two recent conjectures for holographic complexity: the complexity= action
conjecture and the complexity= volume conjecture. In particular, we examine the structure of …

We compute the modular Hamiltonians of regions having the future horizon lying on a null
plane. For a CFT this is equivalent to regions with a boundary of arbitrary shape lying on the …

These notes grew from a series of lectures given by the authors during the last decade. They
will be published in the proceedings of TASI 2021. After a brief introduction to quantum …

In the context of ground states of quantum many-body systems, the locality of entanglement
between connected regions of space is directly tied to the locality of the corresponding …

A bstract We develop a functional real-time approach to computing the entanglement
between spatial regions for Gaussian states in quantum field theory. The entanglement …

We calculate the analytic form of the vacuum modular Hamiltonian for a two interval region
and the algebra of a current j (x)=∂ ϕ (x) corresponding to a chiral free scalar ϕ in d= 2. We …

We study the entanglement Hamiltonian for finite intervals in infinite quantum chains for two
different free-particle systems: coupled harmonic oscillators and fermionic hopping models …

The modular (or entanglement) Hamiltonian correspondent to the half-space bipartition of a
quantum state uniquely characterizes its entanglement properties. However, in the context of …

We study the continuum limit of the entanglement Hamiltonians of a block of consecutive
sites in massless harmonic chains. This block is either in the chain on the infinite line or at …