Measurement and Teleportation in the cSYK/JT Correspondence

TL;DR

This paper explores how measurements affect entangled complex SYK models, revealing phase transitions and supporting the formation of traversable wormholes through a dual bulk description and teleportation protocol.

Contribution

It introduces the effects of one-sided charge measurements on entangled complex SYK models and connects these effects to a dual bulk description and traversable wormhole protocols.

Findings

Measurement induces a thermodynamic phase transition.

Entropy behavior differs from previous SYK models.

Teleportation protocol supports traversable wormhole formation.

Abstract

We consider two complex SYK models entangled in a thermofield double (TFD) state and investigate the effect of one-sided projective measurements. As measurement operator we choose single site charge operators. Performing a measurement results in a non-zero $U(1)$ charge. The entropy curve differs from the previously studied SYK model due to a thermodynamic phase transition that takes place after a certain charge is reached. We also match our results to a dual bulk description. Finally, a teleportation protocol is provided to support the notion of a traversable wormhole being formed.