Video URL
https://pirsa.org/15020134Exact holographic mapping, tensor networks and space-time geometry
APA
Qi, X. (2015). Exact holographic mapping, tensor networks and space-time geometry. Perimeter Institute for Theoretical Physics. https://pirsa.org/15020134
MLA
Qi, Xiaoliang. Exact holographic mapping, tensor networks and space-time geometry. Perimeter Institute for Theoretical Physics, Feb. 27, 2015, https://pirsa.org/15020134
BibTex
@misc{ scivideos_PIRSA:15020134, doi = {10.48660/15020134}, url = {https://pirsa.org/15020134}, author = {Qi, Xiaoliang}, keywords = {Quantum Matter, Quantum Fields and Strings}, language = {en}, title = {Exact holographic mapping, tensor networks and space-time geometry}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2015}, month = {feb}, note = {PIRSA:15020134 see, \url{https://scivideos.org/index.php/pirsa/15020134}} }
Xiaoliang Qi Stanford University
Abstract
Holographic duality is a duality between gravitational systems and non-gravitational systems. In this talk, I will propose a different approach for understanding holographic duality named as the exact holographic mapping. The key idea of this approach can be summarized by two points: 1) The bulk theory and boundary theory are related by a unitary mapping in the Hilbert space. 2) Space-time geometry is determined by the structure of correlations and quantum entanglement in a quantum state. When applied to lattice systems, the holographic mapping is defined by a unitary tensor network. For free fermion boundary theories, I will discuss how different bulk geometries are obtained as dual theories of different boundary states. A particularly interesting case is the AdS black hole geometry and the interpretation of the interior of a black hole. We will also discuss dual geometries of topological states of matter.