Crossed product algebras and generalized entropy for subregions

S Ali Ahmad, R Jefferson - SciPost Physics Core, 2024 - scipost.org
An early result of algebraic quantum field theory is that the algebra of any subregion in a
QFT is a von Neumann factor of type III $ _ {1} $, in which entropy cannot be well-defined …

Symmetry resolved relative entropies and distances in conformal field theory

L Capizzi, P Calabrese - Journal of High Energy Physics, 2021 - Springer
A bstract We develop a systematic approach to compute the subsystem trace distances and
relative entropies for subsystem reduced density matrices associated to excited states in …

Generalized entanglement entropies in two-dimensional conformal field theory

S Murciano, P Calabrese, RM Konik - Journal of High Energy Physics, 2022 - Springer
A bstract We introduce and study generalized Rényi entropies defined through the traces of
products of Tr B (| Ψ i⟩⟨ Ψ j|) where∣ Ψ i⟩ are eigenstates of a two-dimensional conformal …

Entanglement and complexity of purification in ()-dimensional free conformal field theories

HA Camargo, L Hackl, MP Heller, A Jahn… - Physical Review …, 2021 - APS
Finding pure states in an enlarged Hilbert space that encode the mixed state of a quantum
field theory as a partial trace is necessarily a challenging task. Nevertheless, such …

Long distance entanglement of purification and reflected entropy in conformal field theory

HA Camargo, L Hackl, MP Heller, A Jahn, B Windt - Physical Review Letters, 2021 - APS
Quantifying entanglement properties of mixed states in quantum field theory via
entanglement of purification and reflected entropy is a new and challenging subject. In this …

Modular Hamiltonians of excited states, OPE blocks and emergent bulk fields

G Sárosi, T Ugajin - Journal of High Energy Physics, 2018 - Springer
A bstract We study the entanglement entropy and the modular Hamiltonian of slightly excited
states reduced to a ball shaped region in generic conformal field theories. We set up a …

Entanglement and relative entropies for low-lying excited states in inhomogeneous one-dimensional quantum systems

S Murciano, P Ruggiero… - Journal of Statistical …, 2019 - iopscience.iop.org
Conformal field theories in curved backgrounds have been used to describe
inhomogeneous one-dimensional systems, such as quantum gases in trapping potentials …

Subsystem trace distance in low-lying states of (1+ 1)-dimensional conformal field theories

J Zhang, P Ruggiero, P Calabrese - Journal of High Energy Physics, 2019 - Springer
A bstract We report on a systematic replica approach to calculate the subsystem trace
distance for a quantum field theory. This method has been recently introduced in [J. Zhang …

Relative entanglement entropies in 1+ 1-dimensional conformal field theories

P Ruggiero, P Calabrese - Journal of High Energy Physics, 2017 - Springer
A bstract We study the relative entanglement entropies of one interval between excited
states of a 1+ 1 dimensional conformal field theory (CFT). To compute the relative entropy S …

Local quenches, bulk entanglement entropy and a unitary Page curve

CA Agón, SF Lokhande, JF Pedraza - Journal of High Energy Physics, 2020 - Springer
A bstract Quantum corrections to the entanglement entropy of matter fields interacting with
dynamical gravity have proven to be very important in the study of the black hole information …