Simulating Holographic Conformal Field Theories on Hyperbolic Lattices
arxiv(2024)
摘要
We demonstrate how table-top settings combining hyperbolic lattices with
nonlinear dynamics universally lead to a genuine realization 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.
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