Entanglement of local operators in large-N conformal field theories

By Paweł Caputa, M. Nozaki, T. Takayanagi. 2014

165 citations recorded by the source corpus.

In this paper, we study Renyi and von Neumann entanglement entropy of excited states created by local operators in large-$N$ (or large-central-charge) conformal field theories (CFTs). First we point out that a naive large-$N$ expansion can break down for the von Neumann entanglement entropy, while it does not for the Renyi entanglement entropy. This happens even for the excited states in free Yang–Mills theories. Next, we analyze strongly coupled large-$N$ CFTs from both the field-theoretic and holographic viewpoints. We find that the Renyi entanglement entropy of the excited state, produced by a local operator, grows logarithmically under its time evolution and its coefficient is proportional to the conformal dimension of the local operator.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f47d5a3ff1f680309cfc9212c769f09ac5b99890

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Thomas Hartman
2. Pasquale Calabrese
3. J. Cardy
4. T. Takayanagi
5. E. Tonni
6. T. Nishioka
7. J. Sonner
8. Tarek Anous

In Geometry and Topology

1. Pasquale Calabrese
2. J. Cardy
3. Thomas Hartman
4. T. Takayanagi

In Nuclear and High Energy Physics

1. Pasquale Calabrese
2. J. Cardy
3. Thomas Hartman
4. Tarek Anous
5. J. Sonner
6. Antonin Rovai
7. Eric Perlmutter
8. E. Tonni

Citations in the corpus

• Quantum entanglement of localized excited states at finite temperature (2014, unknown): “As shown in [24], at zero temperature the growth of the Renyi entanglement entropy diverges logarithmically with time with a universal coefficient proportional to the conformal dimension ∆O of the local operator used as the excitation”
• Black hole collapse in the 1/c expansion (2016, background): “(See also [12–15] for earlier work in this direction, and [16–39] for related developments and applications.”
• Quantum quenches in 1  +  1 dimensional conformal field theories (2016, background): “It turns out that the evolution of the entanglement entropy depends on the considered operator in a calculable manner (see for more details also [235]).”