PIRSA:13050034 Conference Condensed Matter

DOI10.48660/13050034

Conference/School: Emergence & Entanglement II 2013

Takayanagi, T. (2013). Thermodynamical Property of Entanglement Entropy for Excited States. Perimeter Institute. https://pirsa.org/13050034

Takayanagi, Tadashi. Thermodynamical Property of Entanglement Entropy for Excited States. Perimeter Institute, May. 08, 2013, https://pirsa.org/13050034 

@misc{ pirsa_PIRSA:13050034,
  doi = {10.48660/13050034},
  url = {https://pirsa.org/13050034},
  author = {Takayanagi, Tadashi},
  keywords = {Condensed Matter},
  language = {en},
  title = {Thermodynamical Property of Entanglement Entropy for Excited States},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {may},
  note = {PIRSA:13050034 see, \url{https://pirsa.org}}
}

Abstract

We will point out that there is a universal thermodynamical property of entanglement entropy for excited states.  We will derive this by using the AdS/CFT correspondence in any dimension. We will also directly confirm this property from direct field theoretic calculations in two dimensions. We will define a new quantity called entanglement density by taking derivatives of entanglement entropy with respect to the shape of subsystem. We will show that this quantity coincides with the energy density by taking the small subsystem limit and show that this is another equivalent statement of the thermodynamical property.

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