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The Effect of Anisotropy on Holographic Entanglement Entropy and Mutual Information

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arxiv 1905.06808 v2 pith:KW3QDZL5 submitted 2019-05-16 hep-th gr-qc

classification hep-thgr-qc
keywords holographiclatticeanisotropyeffectentanglemententropyinformationmutual
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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.

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Cited by 1 Pith paper

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  1. Diagnosing Critical Behavior in AdS Einstein-Maxwell-Scalar Theory via Holographic Entanglement Measures

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    In the EMS holographic model, entanglement entropy, mutual information, wedge cross-section, and butterfly velocity all show critical exponent 1—twice the scalar order parameter—and MI grows faster than EWCS across th...

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