PIRSA:17120017

Tensor Network and Space-time Geometry - Charles (ChunJun) Cao

(2017). Tensor Network and Space-time Geometry - Charles (ChunJun) Cao. Perimeter Institute. https://pirsa.org/17120017

Tensor Network and Space-time Geometry - Charles (ChunJun) Cao. Perimeter Institute, Dec. 07, 2017, https://pirsa.org/17120017 

          @misc{ pirsa_PIRSA:17120017,
            doi = {10.48660/17120017},
            url = {https://pirsa.org/17120017},
            author = {},
            keywords = {Condensed Matter, Other},
            language = {en},
            title = {Tensor Network and Space-time Geometry - Charles (ChunJun) Cao},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {dec},
            note = {PIRSA:17120017 see, \url{https://pirsa.org}}
          }
DOI 10.48660/17120017
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk, I will discuss how to assign geometries, such as metric tensors, to certain tensor networks using quantum entanglement and tensor Radon transform. In addition, we show that behaviour similar to linearized gravity can naturally emerge in said tensor networks, provided a modified version of Jacobson's entanglement equilibrium is satisfied. Since the aforementioned properties can be reached without relying on AdS/CFT, the approach also shows promise towards constructing tensor network models for cosmological spacetimes.