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On the entanglement contour of excited states in the holographic CFT

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arxiv 1905.06920 v3 pith:GV5MUU3U submitted 2019-05-16 hep-th

On the entanglement contour of excited states in the holographic CFT

classification hep-th
keywords entanglementcontourexcitedstategeneralholographicboundariescoarse-graining
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we study the entanglement contour in a general excited state in the holographic 2d CFT using the partial entanglement entropy proposal. We show how thermodynamics fixes the entanglement contour relating it to the first law of entanglement. We derive the entanglement contour for a general time-dependent excited state and consider a quenched initial state in the presence of spatial boundaries as an explicit example. Finally, we comment on the coarse-graining and the complexity contour in the $AdS_3/CFT_2$.

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