Machine learning statistical gravity from multi-region entanglement entropy
نویسندگان
چکیده
The Ryu-Takayanagi formula directly connects quantum entanglement and geometry. Yet the assumption of static geometry lead to an exponentially small mutual information between far-separated disjoint regions, which does not hold in many systems such as free fermion conformal field theories. In this work, we proposed a microscopic model by superimposing features ensemble random tensor networks different bond dimensions, can be mapped statistical gravity consisting massive scalar on fluctuating background We propose machine-learning algorithm that recovers underlying fluctuation from multi-region entropy data modeling bulk distribution via generative neural network. To demonstrate its effectiveness, tested system showed mediated effectively geometric fluctuation. Remarkably, locality emerged learned geometries, pointing local theory holographic bulk.
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ژورنال
عنوان ژورنال: Physical review research
سال: 2021
ISSN: ['2643-1564']
DOI: https://doi.org/10.1103/physrevresearch.3.043199