In this study,we extend the surface growth approach for bulk reconstruction into the Ad S spacetime with a boundary in the Ad S/BCFT correspondence.We show that the geometry in the entanglement wedge with a boundary c...In this study,we extend the surface growth approach for bulk reconstruction into the Ad S spacetime with a boundary in the Ad S/BCFT correspondence.We show that the geometry in the entanglement wedge with a boundary can be constructed from the direct growth of bulk extremal surfaces layer by layer.Furthermore,we observe that the surface growth configuration in BCFT can be connected with the defect multi scale entanglement renormalization ansatz(MERA)tensor network.Additionally,we investigate the entanglement of purification within the surface growth process,which not only reveals more refined structure of entanglement entropy in the entanglement wedge but also suggests a selection rule for surface growth in the bulk reconstruction.展开更多
In this paper,we show using several examples that the bulk geometry of asymptotically AdS3 spacetimes can be effectively reconstructed using an intuitive and visual method called the surface growth scheme.This new app...In this paper,we show using several examples that the bulk geometry of asymptotically AdS3 spacetimes can be effectively reconstructed using an intuitive and visual method called the surface growth scheme.This new approach for bulk reconstruction was originally proposed in a recent paper,along with its explicit realization using the one-shot entanglement distillation tensor network and the surface/state correspondence.In this paper,we directly analyze the growth of the bulk minimal surfaces to implement this scheme.Our study provides further support for the surface growth approach in entanglement wedge reconstruction.展开更多
基金Supported by the National Natural Science Foundation of China(11675272)。
文摘In this study,we extend the surface growth approach for bulk reconstruction into the Ad S spacetime with a boundary in the Ad S/BCFT correspondence.We show that the geometry in the entanglement wedge with a boundary can be constructed from the direct growth of bulk extremal surfaces layer by layer.Furthermore,we observe that the surface growth configuration in BCFT can be connected with the defect multi scale entanglement renormalization ansatz(MERA)tensor network.Additionally,we investigate the entanglement of purification within the surface growth process,which not only reveals more refined structure of entanglement entropy in the entanglement wedge but also suggests a selection rule for surface growth in the bulk reconstruction.
基金supported by the National Natural Science Foundation of China (11675272)supported by the National Natural Science Foundation of China (12105113)China Postdoctoral Science Foundation (2019M653137)。
文摘In this paper,we show using several examples that the bulk geometry of asymptotically AdS3 spacetimes can be effectively reconstructed using an intuitive and visual method called the surface growth scheme.This new approach for bulk reconstruction was originally proposed in a recent paper,along with its explicit realization using the one-shot entanglement distillation tensor network and the surface/state correspondence.In this paper,we directly analyze the growth of the bulk minimal surfaces to implement this scheme.Our study provides further support for the surface growth approach in entanglement wedge reconstruction.
