AdS/CFT Correspondence with a 3D Black Hole Simulator
- Resource Type
- Working Paper
- Authors
- Deger, Aydin; Horner, Matthew D.; Pachos, Jiannis K.
- Source
- Phys. Rev. B 108, 155124 (2023)
- Subject
- High Energy Physics - Theory
Condensed Matter - Strongly Correlated Electrons
General Relativity and Quantum Cosmology
Quantum Physics
- Language
One of the key applications of AdS/CFT correspondence is the duality it dictates between the entanglement entropy of Anti-de Sitter (AdS) black holes and lower-dimensional conformal field theories (CFTs). Here we employ a square lattice of fermions with inhomogeneous tunneling couplings that simulate the effect rotationally symmetric 3D black holes have on Dirac fields. When applied to 3D BTZ black holes we identify the parametric regime where the theoretically predicted 2D CFT faithfully describes the black hole entanglement entropy. With the help of the universal simulator we further demonstrate that a large family of 3D black holes exhibit the same ground state entanglement entropy behavior as the BTZ black hole. The simplicity of our simulator enables direct numerical investigation of a wide variety of 3D black holes and the possibility to experimentally realize it with optical lattice technology.
Comment: 10 pages, 5 figures