## Entanglement scrambling in 2d conformal field theory

## Abstract

Here, we investigate how entanglement spreads in time-dependent states of a 1+1 dimensional conformal field theory (CFT). The results depend qualitatively on the value of the central charge. In rational CFTs, which have central charge below a critical value, entanglement entropy behaves as if correlations were carried by free quasiparticles. This leads to long-term memory effects, such as spikes in the mutual information of widely separated regions at late times. When the central charge is above the critical value, the quasiparticle picture fails. Assuming no extended symmetry algebra, any theory with c > 1 has diminished memory effects compared to the rational models. In holographic CFTs, with c >> 1, these memory effects are eliminated altogether at strong coupling, but reappear after the scrambling time t ≳ β log c at weak coupling.

- Authors:

- Columbia Univ., New York, NY (United States). Dept. of Physics
- Katholieke Univ. Leuven, Heverlee (Belgium). Inst. for Theoretische Fysica
- Cornell Univ., Ithaca, NY (United States). Dept. of Physics

- Publication Date:

- Research Org.:
- Columbia Univ., New York, NY (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1454265

- Grant/Contract Number:
- SC0011941

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 9; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Field Theories in Lower Dimensions; AdS-CFT Correspondence; Conformal and W Symmetry

### Citation Formats

```
Asplund, Curtis T., Bernamonti, Alice, Galli, Federico, and Hartman, Thomas. Entanglement scrambling in 2d conformal field theory. United States: N. p., 2015.
Web. doi:10.1007/JHEP09(2015)110.
```

```
Asplund, Curtis T., Bernamonti, Alice, Galli, Federico, & Hartman, Thomas. Entanglement scrambling in 2d conformal field theory. United States. doi:10.1007/JHEP09(2015)110.
```

```
Asplund, Curtis T., Bernamonti, Alice, Galli, Federico, and Hartman, Thomas. Thu .
"Entanglement scrambling in 2d conformal field theory". United States. doi:10.1007/JHEP09(2015)110. https://www.osti.gov/servlets/purl/1454265.
```

```
@article{osti_1454265,
```

title = {Entanglement scrambling in 2d conformal field theory},

author = {Asplund, Curtis T. and Bernamonti, Alice and Galli, Federico and Hartman, Thomas},

abstractNote = {Here, we investigate how entanglement spreads in time-dependent states of a 1+1 dimensional conformal field theory (CFT). The results depend qualitatively on the value of the central charge. In rational CFTs, which have central charge below a critical value, entanglement entropy behaves as if correlations were carried by free quasiparticles. This leads to long-term memory effects, such as spikes in the mutual information of widely separated regions at late times. When the central charge is above the critical value, the quasiparticle picture fails. Assuming no extended symmetry algebra, any theory with c > 1 has diminished memory effects compared to the rational models. In holographic CFTs, with c >> 1, these memory effects are eliminated altogether at strong coupling, but reappear after the scrambling time t ≳ β log c at weak coupling.},

doi = {10.1007/JHEP09(2015)110},

journal = {Journal of High Energy Physics (Online)},

number = 9,

volume = 2015,

place = {United States},

year = {2015},

month = {9}

}

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