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QI: Fachverband Quanteninformation
QI 1: Quantum Foundations
QI 1.11: Talk
Monday, March 18, 2024, 12:30–12:45, HFT-FT 101
Measurement in the complex SYK thermofield double and its holographic dual — Stefan Forste1, Saurabh Natu1, Yannic Kruse1, and •Raphael Brinster1,2 — 1Bethe Center for Theoretical Physics and Physikalisches Institut der Universität Bonn,Germany — 2Faculty of Mathematics and Natural Sciences, Heinrich Heine University Düsseldorf, Germany
In this talk, I will briefly introduce the concepts of holography and the AdS/CFT correspondence. Then, I will explain how to calculate the entropy of the thermofield double State (TFD) in the complex SYK model (two non-interacting copies of systems describing N Dirac fermions with an all-to-all coupling) after a U(1)-charge measurement was applied and relate it to the von-Neumann entropy of some spacetime region in a black hole background. By introducing a specific decoding operator, a quantum teleportation protocol can be realised, sending information from one side of the TFD to the other. By the correspondence, this is related to a traversable wormhole. In contrast to similar work that has been done in the Majorana SYK model, the results are measurement-dependent, i.e. they depend on the total charge of the system.