Mutual information after a local quench in conformal field theory
Add this Pith Number to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{6CABU2UC}
Prints a linked pith:6CABU2UC badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
We compute the entanglement entropy and mutual information for two disjoint intervals in two-dimensional conformal field theories as a function of time after a local quench, using the replica trick and boundary conformal field theory. We obtain explicit formulae for the universal contributions, which are leading in the regimes of, for example, close or well-separated intervals of fixed length. The results are largely consistent with the quasiparticle picture, in which entanglement above that present in the ground state is carried by pairs of entangled, freely propagating excitations. We also calculate the mutual information for two disjoint intervals in a proposed holographic local quench, whose holographic energy-momentum tensor matches the conformal field theory one. We find that the holographic mutual information shows qualitative differences from the conformal field theory results and we discuss possible interpretations of this.
This paper has not been read by Pith yet.
Forward citations
Cited by 4 Pith papers
-
The Page curve of Hawking radiation from semiclassical geometry
Hawking radiation entropy follows the Page curve when quantum extremal surfaces are identified with RT/HRT surfaces in a higher-dimensional holographic dual, making the black hole interior part of the radiation's enta...
-
Entanglement Revivals and Scrambling for Evaporating Black Holes
Increasing black hole scrambling time in JT and RST evaporating geometries suppresses and eliminates late-time entanglement revivals in 2d CFT mutual information for disjoint intervals, interpolating between quasipart...
-
The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
In a 2d evaporating black hole model, large boosts create O(1/G_N) gradients in bulk entropy that move the quantum extremal surface, causing the generalized entropy to follow unitary expectations with information disa...
-
Entanglement Revivals and Scrambling for Evaporating Black Holes
Black hole scrambling suppresses and eventually eliminates late-time entanglement revivals in CFT mutual information for disjoint intervals, with spikes vanishing when interval lengths become exponential in the scramb...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.