# The Effect of Anisotropy on Holographic Entanglement Entropy and Mutual   Information

**Authors:** Peng Liu, Chao Niu, Jian-Pin Wu

arXiv: 1905.06808 · 2019-09-19

## TL;DR

This paper investigates how anisotropy introduced by Q-lattices affects holographic entanglement entropy and mutual information, revealing that lattice enhances entropy generally but has mixed effects on mutual information depending on region size.

## Contribution

It provides a detailed analysis of anisotropic effects on HEE and MI in Q-lattice models, highlighting the differential impact based on region size and geometry deformation.

## Key findings

- Lattice enhances holographic entanglement entropy.
- Lattice increases mutual information for large regions.
- Lattice suppresses mutual information for small regions.

## Abstract

We study the effect of anisotropy on holographic entanglement entropy (HEE) and holographic mutual information (MI) in the Q-lattice model, by exploring the HEE and MI for infinite strips along arbitrary directions. We find that the lattice always enhances the HEE. The MI, however, is enhanced by lattice for large sub-regions; while for small sub-regions, the MI is suppressed by the lattice. We also discuss how these phenomena result from the deformation of geometry caused by Q-lattices.

## Full text

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## Figures

26 figures with captions in the complete paper: https://tomesphere.com/paper/1905.06808/full.md

## References

53 references — full list in the complete paper: https://tomesphere.com/paper/1905.06808/full.md

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Source: https://tomesphere.com/paper/1905.06808