[12.29]Loop Quantum Gravity, Tensor Network, and Holographic Entanglement Entropy
文章来源： | 发布时间：2016-12-23 | 浏览:
Title: Loop Quantum Gravity, Tensor Network, and Holographic Entanglement Entropy
Speaker: Prof. Muxin Han（韩慕辛）(Florida Atlantic University)
Time: 2:30PM, Dec. 29th (Thursday)
Place: Theoretical Physics Division，319
Abstract:The relation between Loop Quantum Gravity (LQG) and tensor network is explored from the perspectives of bulk-boundary duality and holographic entanglement entropy. We find that the LQG spin-network states in a space Σ with boundary ∂Σ is an exact holographic mapping. The tensor network, understood as the boundary quantum state, is the output of the exact holographic mapping emerging from a coarse graining procedure of spin-networks. Furthermore, when a region A and its complement are specified on the boundary ∂Σ, we show that the boundary entanglement entropy S(A) of the emergent tensor network satisfies the Ryu-Takayanagi formula in the semiclassical regime, i.e. S(A) is proportional to the minimal area of the bulk surface attached to the boundary of A in ∂Σ.