Deger, Aydin;
Horner, Matthew D;
Pachos, Jiannis K;
(2023)
AdS/CFT correspondence with a three-dimensional black hole simulator.
Physical Review B
, 108
(15)
, Article 155124. 10.1103/physrevb.108.155124.
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Abstract
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 three-dimensional (3D) black holes have on Dirac fields. When applied to 3D Banados-Teitelboim-Zanelli (BTZ) black holes we identify the parametric regime where the theoretically predicted two-dimensional 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.
| Type: | Article |
|---|---|
| Title: | AdS/CFT correspondence with a three-dimensional black hole simulator |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/physrevb.108.155124 |
| Publisher version: | https://doi.org/10.1103/physrevb.108.155124 |
| Language: | English |
| Additional information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10179711 |
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