Simulating Holographic Conformal Field Theories on Hyperbolic Lattices

Simulating Holographic Conformal Field Theories on Hyperbolic Lattices

13 Aug 2024 | Santanu Dey, Anffany Chen, Pablo Basteiro, Alexander Fritzsche, Martin Greiter, Matthias Kaminski, Patrick M. Lenggenhager, René Meyer, Riccardo Sorbello, Alexander Stegmaier, Ronny Thomale, Johanna Erdmenger, Igor Boettcher
The paper presents a tabletop experiment that simulates aspects of the AdS/CFT correspondence using hyperbolic lattices and nonlinear dynamics. The authors construct a holographic toy model that encodes gravitational self-interactions in the bulk and features an emergent CFT with nontrivial correlations on the boundary. They measure the CFT data from two- and three-point functions and demonstrate how a thermal CFT is simulated through an effective black hole geometry. The model is experimentally feasible and can be realized using electrical circuits with nonlinear elements. The authors provide a theoretical framework and an experimental protocol to compute and measure boundary correlation functions, showing that their setup emulates three-point functions and characterizes CFT data. They also propose an experimental protocol to measure the holographic CFT using electrical circuits, making it a concrete example of a laboratory-based implementation of the AdS/CFT correspondence.The paper presents a tabletop experiment that simulates aspects of the AdS/CFT correspondence using hyperbolic lattices and nonlinear dynamics. The authors construct a holographic toy model that encodes gravitational self-interactions in the bulk and features an emergent CFT with nontrivial correlations on the boundary. They measure the CFT data from two- and three-point functions and demonstrate how a thermal CFT is simulated through an effective black hole geometry. The model is experimentally feasible and can be realized using electrical circuits with nonlinear elements. The authors provide a theoretical framework and an experimental protocol to compute and measure boundary correlation functions, showing that their setup emulates three-point functions and characterizes CFT data. They also propose an experimental protocol to measure the holographic CFT using electrical circuits, making it a concrete example of a laboratory-based implementation of the AdS/CFT correspondence.
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