Simulating Holographic Conformal Field Theories on Hyperbolic Lattices

Autor: Dey, Santanu, Chen, Anffany, Basteiro, Pablo, Fritzsche, Alexander, Greiter, Martin, Kaminski, Matthias, Lenggenhager, Patrick M., Meyer, Rene, Sorbello, Riccardo, Stegmaier, Alexander, Thomale, Ronny, Erdmenger, Johanna, Boettcher, Igor
Rok vydání: 2024
Předmět:
Zdroj: Phys. Rev. Lett. 133, 061603 (2024)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevLett.133.061603
Popis: We demonstrate how table-top settings combining hyperbolic lattices with nonlinear dynamics universally encode aspects of the bulk-boundary-correspondence between gravity in anti-de-Sitter (AdS) space and conformal field theory (CFT). Our concrete and broadly applicable holographic toy model simulates gravitational self-interactions in the bulk and features an emergent CFT with nontrivial correlations on the boundary. We measure the CFT data contained in the two- and three-point functions and clarify how a thermal CFT is simulated through an effective black hole geometry. As a concrete example, we propose and simulate an experimentally feasible protocol to measure the holographic CFT using electrical circuits.
Comment: 5 pages, published version
Databáze: arXiv