Symmetry-resolved measures in quantum field theory: A short review

OA Castro-Alvaredo… - Modern Physics Letters B, 2025 - World Scientific
In this short review, we present the key definitions, ideas and techniques involved in the
study of symmetry resolved entanglement measures, with a focus on the symmetry resolved …

Reflected entropy and computable cross-norm negativity: Free theories and symmetry resolution

C Berthiere, G Parez - Physical Review D, 2023 - APS
We investigate a separability criterion based on the computable cross-norm (CCNR), and a
related quantity called the CCNR negativity. We introduce a reflected version of the CCNR …

Symmetry resolution of the computable cross-norm negativity of two disjoint intervals in the massless Dirac field theory

A Bruno, F Ares, S Murciano, P Calabrese - Journal of High Energy …, 2024 - Springer
A bstract We investigate how entanglement in the mixed state of a quantum field theory can
be described using the cross-computable norm or realignment (CCNR) criterion, employing …

More on symmetry resolved operator entanglement

S Murciano, J Dubail, P Calabrese - Journal of Physics A …, 2024 - iopscience.iop.org
The'operator entanglement'of a quantum operator O is a useful indicator of its complexity,
and, in one-dimension, of its approximability by matrix product operators. Here we focus on …

Entanglement entropy from non-equilibrium Monte Carlo simulations

A Bulgarelli, M Panero - Journal of High Energy Physics, 2023 - Springer
A bstract We study the entanglement entropy in lattice field theory using a simulation
algorithm based on Jarzynski's theorem. We focus on the entropic c-function for the Ising …

Reflected entropy and Markov gap in Lifshitz theories

C Berthiere, B Chen, H Chen - Journal of High Energy Physics, 2023 - Springer
A bstract We study the reflected entropy in (1+ 1)-dimensional Lifshitz field theory whose
groundstate is described by a quantum mechanical model. Starting from tripartite Lifshitz …

Mixed-state entanglement measures in topological order

C Yin, S Liu - Physical Review B, 2023 - APS
Quantum entanglement is a particularly useful characterization of topological orders which
lack conventional order parameters. In this work, we study the entanglement in topologically …

Reflected entropy in random tensor networks III: triway cuts

C Akers, T Faulkner, S Lin, P Rath - arxiv preprint arxiv:2409.17218, 2024 - arxiv.org
For general random tensor network states at large bond dimension, we prove that the
integer R\'enyi reflected entropies (away from phase transitions) are determined by minimal …

The reflected entanglement spectrum for free fermions

S Dutta, T Faulkner, S Lin - Journal of High Energy Physics, 2023 - Springer
A bstract We consider the reflected entropy and the associated entanglement spectrum for
free fermions reduced to two intervals in 1+ 1 dimensions. Working directly in the continuum …

Reflected entropy in random tensor networks. Part III. Triway cuts

C Akers, T Faulkner, S Lin, P Rath - Journal of High Energy Physics, 2024 - Springer
A bstract For general random tensor network states at large bond dimension, we prove that
the integer Rényi reflected entropies (away from phase transitions) are determined by …