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

Aravindh S. Shankar1,2,*, Jasper Steenbergen1, Stephan Plugge1,3, and Koenraad Schalm1,†

  • *Contact author: ashankar@ictp.it
  • †Contact author: kschalm@lorentz.leidenuniv.nl
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Phys. Rev. Research 8, 013112 – Published 30 January, 2026

DOI: https://doi.org/10.1103/v2gn-l936

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.

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Phys. Rev. Research 8, 013112– Published 30 January, 2026
  • Received 25 June 2025
  • Accepted 18 December 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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