The Large Limit of icMERA and Holography
arXiv:2107.13248 · doi:10.1007/JHEP04(2022)020
Abstract
In this work, we compute the entanglement entropy in continuous icMERA tensor networks for large models at strong coupling. Our results show that the quantum corrections to the Fisher information metric (interpreted as a local bond dimension of the tensor network) in an icMERA circuit, are related to quantum corrections to the minimal area surface in the Ryu-Takayanagi formula. Upon picking two different non-Gaussian entanglers to build the icMERA circuit, the results for the entanglement entropy only differ at subleading orders in , i.e, at the structure of the quantum corrections in the bulk. The fact that the large part of the entropy can be always related to the leading area term of the holographic calculation is very suggestive. These results, constitute the first tensor network calculations at large and strong coupling simultaneously, pushing the field of tensor network descriptions of the emergence of dual spacetime geometries from the structure of entanglement in quantum field theory.
arXiv comment48 pages, 4 figures. v3: Withdraw from SciPost due to lack of review. It matches the published version in JHEP
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