We show that two Yukawa-SYK models with a weak tunneling contact can have an exotic hybrid superconducting thermofield-double-like state that is holographically dual to a traversable wormhole connecting two black holes with charged scalar hair. The hybrid superconducting thermo-field-double/wormhole state is distinguishable by anomalous scaling of revival oscillations in the fermionic Green's function, but also in a unique Andreev-revival in the anomalous Green's function. The existence of this TFD/wormhole state surprisingly shows that the some quantum critical effects can survive the phase transition to superconductivity. This Andreev-revival is in principle an accessible signature of the transition to the TFD/wormhole phase detectable in the ac-Josephson current.
@article{arxiv.2506.16907,
title = {Josephson wormhole in coupled superconducting Yukawa-SYK metals},
author = {Aravindh S. Shankar and Jasper Steenbergen and Stephan Plugge and Koenraad Schalm},
journal= {arXiv preprint arXiv:2506.16907},
year = {2026}
}
Comments
9 pages, 10 figures. v2: outlook section added, published version