Modular Hamiltonians for deformed half-spaces and the averaged null energy condition

T Faulkner, RG Leigh, O Parrikar, H Wang - Journal of High Energy …, 2016 - Springer
A bstract We study modular Hamiltonians corresponding to the vacuum state for deformed
half-spaces in relativistic quantum field theories on\({\mathrm {\mathbb {R}}}^{1, d-1}\). We …

A general proof of the quantum null energy condition

S Balakrishnan, T Faulkner, ZU Khandker… - Journal of High Energy …, 2019 - Springer
A bstract We prove a conjectured lower bound on< T__ (x)> ψ in any state ψ of a CFT on
Minkowski space, dubbed the Quantum Null Energy Condition (QNEC). The bound is given …

Entanglement between two disjoint universes

V Balasubramanian, A Kar, T Ugajin - Journal of High Energy Physics, 2021 - Springer
A bstract We use the replica method to compute the entanglement entropy of a universe
without gravity entangled in a thermofield-double-like state with a disjoint gravitating …

Modular Hamiltonians on the null plane and the Markov property of the vacuum state

H Casini, E Teste, G Torroba - Journal of Physics A: Mathematical …, 2017 - iopscience.iop.org
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 …

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 …

Symmetry decomposition of relative entropies in conformal field theory

HH Chen - Journal of High Energy Physics, 2021 - Springer
A bstract We consider the symmetry resolution of relative entropies in the 1+ 1 dimensional
free massless compact boson conformal field theory (CFT) which presents an internal U (1) …

Quantum information geometry of driven CFTs

J de Boer, V Godet, J Kastikainen… - Journal of High Energy …, 2023 - Springer
A bstract Driven quantum systems exhibit a large variety of interesting and sometimes exotic
phenomena. Of particular interest are driven conformal field theories (CFTs) which describe …

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 …

Connecting Fisher information to bulk entanglement in holography

S Banerjee, J Erdmenger, D Sarkar - Journal of High Energy Physics, 2018 - Springer
A bstract In the context of relating AdS/CFT to quantum information theory, we propose a
holographic dual of Fisher information metric for mixed states in the boundary field theory …

Nucleosome positioning based on generalized relative entropy

M Lu, S Liu - Soft Computing, 2019 - Springer
Nucleosome positioning played significant roles in various biological processes. With the
development of high-throughput techniques, many methods and software were developed …