Traversable wormhole without interaction

Abstract

We show that strong quantum entanglement can support a stable traversable wormhole without any explicit interaction or tunnelling term between the two boundary theories of the wormhole. Specifically we work with two complex SYK models. The entangled state is prepared using a tunnelling term in imaginary time but the tunnelling term is removed from the time evolution operator so the two complex SYK models are not coupled. Low temperature states show revival dynamics which is the hallmark of a traversable wormhole geometry. To send any meaningful information from one system to the other, one only needs to turn on a very small interaction term. The technique that we are employing can be applied to other systems to study aspects of quantum entanglement.

12 pages, 10 figures

References in corpus (8)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Traversable Wormholes via a Double Trace Deformation
• Eternal traversable wormhole
• Quantum chaos transition in a two-site SYK model dual to an eternal traversable wormhole
• Revival dynamics in a traversable wormhole
• Phase transition and chaos in charged SYK model
• SYK wormhole formation in real time

Cited by in corpus (5)

• A Traversable Wormhole Teleportation Protocol in the SYK Model
• Tunneling through an Eternal Traversable Wormhole
• Traversable wormhole in logarithmic $f(R)$ gravity by various shape and redshift functions
• Smeared Mass Source Wormholes in Modified $f(R)$ Gravity with the Lorentzian Density Distribution Function
• More on Complex Sachdev-Ye-Kitaev Eternal Wormholes