Josephson wormhole in coupled superconducting Yukawa-Sachdev-Ye-Kitaev metals

Abstract

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 thermofield-double/wormhole (TFD/WH) 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/WH state surprisingly shows that 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/WH phase detectable in the ac Josephson current.