On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field

N Javerzat, E Tonni - Journal of High Energy Physics, 2022 - Springer
A bstract We study the continuum limit of the entanglement Hamiltonian of a sphere for the
massless scalar field in its ground state by employing the lattice model defined through the …

Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals

V Eisler, E Tonni, I Peschel - Journal of Statistical Mechanics …, 2022 - iopscience.iop.org
We consider free-fermion chains in the ground state and the entanglement Hamiltonian for a
subsystem consisting of two separated intervals. In this case, one has a peculiar long-range …

On the mass dependence of the modular operator for a double cone

H Bostelmann, D Cadamuro, C Minz - Annales Henri Poincaré, 2023 - Springer
We present a numerical approximation scheme for the Tomita–Takesaki modular operator of
local subalgebras in linear quantum fields, working at one-particle level. This is applied to …

Thermodynamics as a tool for (quantum) gravitational dynamics

A Alonso-Serrano, M Liška - International Journal of Modern Physics …, 2023 - World Scientific
The thermodynamics of local causal horizons has been shown to imply gravitational
dynamics. In this essay, we discuss the principles underlying this observation, and its …

Modular structure of the Weyl algebra

R Longo - Communications in Mathematical Physics, 2022 - Springer
We study the modular Hamiltonian associated with a Gaussian state on the Weyl algebra.
We obtain necessary/sufficient criteria for the local equivalence of Gaussian states …

Entanglement wedge reconstruction and correlation measures in mixed states: Modular flows versus quantum recovery channels

M Ghodrati - Physical Review D, 2021 - APS
In this work we study the nature of correlations among mixed states in the setup of two
symmetric strips. We use various tools to determine how the bulk geometry could be …

A family of non-modular covariant AQFTs

V Morinelli, KH Neeb - Analysis and Mathematical Physics, 2022 - Springer
Based on the construction provided in our paper “Covariant homogeneous nets of standard
subspaces”, Comm Math Phys 386: 305–358,(2021), we construct non-modular covariant …

Entanglement in harmonic systems at coherent states

D Katsinis, G Pastras - arxiv preprint arxiv:2206.05781, 2022 - arxiv.org
It is well-known that entanglement entropy in field theory at its ground state is dominated by
an area law term, presenting a similarity to the entropy of black holes. It is interesting to …

On the Temperature of a Causal Diamond in Algebraic Quantum Field Theory

RJ Mistry - 2023 - rlbea.unb.br
Nesta tese, estudamos a temperatura de uma região abstrata do espaco-tempo chamada
cone duplo, que também é chamado de diamante. A estrutura sob consideração é a teoria …