Tensor networks are used to describe the ground state wavefunction of the quantum many-body system.Recently,it has been shown that a tensor network can generate the anti-de Sitter(AdS)geometry by using the entanglemen...Tensor networks are used to describe the ground state wavefunction of the quantum many-body system.Recently,it has been shown that a tensor network can generate the anti-de Sitter(AdS)geometry by using the entanglement renormalization approach,which provides a new way to realize bulk reconstruction in the AdS/conformal field theory correspondence.However,whether the dynamical connections can be found between the tensor network and gravity is an important unsolved problem.In this paper,we give a novel proposal to integrate ideas from tensor networks,entanglement entropy,canonical quantization of quantum gravity and the holographic principle and argue that the gravitational dynamics can be generated from a tensor network if the wave function of the latter satisfies the Wheeler–DeWitt equation.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
We studied the pair production of charged scalar particles of a five-dimensional near extremal Reissner-Nordström-Anti de Sitter(RN-AdS_(5))black hole.The pair production rate and the absorption cross section rat...We studied the pair production of charged scalar particles of a five-dimensional near extremal Reissner-Nordström-Anti de Sitter(RN-AdS_(5))black hole.The pair production rate and the absorption cross section ratio in full spacetime are obtained and are shown to have a concise relation with their counterparts in the near horizon region.In addition,the holographic descriptions of the pair production,both in the IR CFT in the near horizon region and the UV CFT at the asymptotic spatial boundary of the RN-AdS_(5) black hole,are analyzed in the AdS_(2)/CFT_(1) and AdS_(5)/CFT_(4) correspondences,respectively.This work gives a complete description of scalar pair production in a near extremal RN-AdS_(5) black hole.展开更多
基金supported by the National Natural Science Foundation of China under Grant No.11675272supported by China Postdoctoral Science Foundation(No.2019M653137)。
文摘Tensor networks are used to describe the ground state wavefunction of the quantum many-body system.Recently,it has been shown that a tensor network can generate the anti-de Sitter(AdS)geometry by using the entanglement renormalization approach,which provides a new way to realize bulk reconstruction in the AdS/conformal field theory correspondence.However,whether the dynamical connections can be found between the tensor network and gravity is an important unsolved problem.In this paper,we give a novel proposal to integrate ideas from tensor networks,entanglement entropy,canonical quantization of quantum gravity and the holographic principle and argue that the gravitational dynamics can be generated from a tensor network if the wave function of the latter satisfies the Wheeler–DeWitt equation.
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.
基金Supported by the National Natural Science Foundation of China(11675272)the Ministry of Science and Technology of the R.O.C.under the grant MOST 108-2112-M-008-007National Research Foundation of Korea(NRF)funded by the Ministry of Education(2019R1I1A3A01063183)。
文摘We studied the pair production of charged scalar particles of a five-dimensional near extremal Reissner-Nordström-Anti de Sitter(RN-AdS_(5))black hole.The pair production rate and the absorption cross section ratio in full spacetime are obtained and are shown to have a concise relation with their counterparts in the near horizon region.In addition,the holographic descriptions of the pair production,both in the IR CFT in the near horizon region and the UV CFT at the asymptotic spatial boundary of the RN-AdS_(5) black hole,are analyzed in the AdS_(2)/CFT_(1) and AdS_(5)/CFT_(4) correspondences,respectively.This work gives a complete description of scalar pair production in a near extremal RN-AdS_(5) black hole.
