Josephson wormhole in coupled superconducting Yukawa-SYK metals

TL;DR

This paper demonstrates that coupled Yukawa-SYK models can host a hybrid superconducting state with a holographic dual to a traversable wormhole, featuring unique revival oscillations and potential experimental signatures.

Contribution

It introduces a novel hybrid superconducting TFD/wormhole state in Yukawa-SYK models, linking quantum critical effects to superconductivity and holography.

Findings

Existence of a hybrid superconducting TFD/wormhole state.

Anomalous scaling of revival oscillations in Green's functions.

Potential experimental detection via ac-Josephson current signatures.

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 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.