Measurement and Teleportation in the cSYK/JT Correspondence

• URL: http://arxiv.org/abs/2501.05905v2
• Date: Fri, 17 Jan 2025 14:40:02 GMT
• Title: Measurement and Teleportation in the cSYK/JT Correspondence
• Authors: Raphael Brinster, Stefan Forste, Yannic Kruse, Saurabh Natu,
• Abstract summary: We consider two complex SYK models entangled in a thermofield double (TFD) state and investigate the effect of one-sided projective measurements. Performing a measurement results in a non-zero $U(1)$ charge.
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• 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.

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