PIRSA:14030107 Scientific Series Condensed Matter

DOI10.48660/14030107

Series: Quantum Matter

Qi, X. (2014). Exact holographic mapping and emergent space-time geometry. Perimeter Institute. https://pirsa.org/14030107

Qi, Xiaoliang. Exact holographic mapping and emergent space-time geometry. Perimeter Institute, Mar. 11, 2014, https://pirsa.org/14030107 

@misc{ pirsa_PIRSA:14030107,
  doi = {10.48660/14030107},
  url = {https://pirsa.org/14030107},
  author = {Qi, Xiaoliang},
  keywords = {Condensed Matter},
  language = {en},
  title = {Exact holographic mapping and emergent space-time geometry},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {mar},
  note = {PIRSA:14030107 see, \url{https://pirsa.org}}
}

Abstract

Holographic duality is a duality between quantum many-body systems (boundary) and gravity systems with one additional spatial dimension (bulk). In this talk, I will describe a new approach to holographic duality for lattice systems, called the exact holographic mapping. The key idea of this approach can be summarized by two points: 1) The bulk theory is nothing but the boundary theory viewed in a different basis. 2) Space-time geometry is determined by the structure of correlations and quantum entanglement in a quantum state. For free fermion boundary theories, I will show how different bulk geometries including AdS space, black holes and worm-holes emerge. I will also discuss the generalization of this approach in more generic interacting systems.

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