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Projections and teleportation of operator quenches in CFT

Zsolt Gyongyosi Orcid Logo, Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2025, Issue: 8

Swansea University Authors: Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo

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Abstract

Motivated by recent proposals for information recovery from black holes via non-isometric maps and post-selection in an effective description, we set up and investigate a teleportation scenario in a 2d CFT involving a local operator quench and projection on a portion of space onto a Cardy state with...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2025
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa70790
Abstract: Motivated by recent proposals for information recovery from black holes via non-isometric maps and post-selection in an effective description, we set up and investigate a teleportation scenario in a 2d CFT involving a local operator quench and projection on a portion of space onto a Cardy state with the theory in the vacuum state. Using conformal invariance the system can be mapped to CFT with boundary (BCFT). Rényi entropies for spatial intervals in the projected state can then be computed as a function of the location of the quench, either using the replica method, or using twist fields, the latter employing universal results for correlators at large c. We find qualitatively distinct behaviours in the two systems. Our replica computations reveal a surprising universal n dependence of Rényi entropies which implies that teleportation does occur but is not optimal as would be expected because the projector is not especially tuned. We also find that the curious n dependence of the Rényi entropies means that the limit to the von Neumann entropy is not straightforward.
Keywords: Scale and Conformal Symmetries; Boundary Quantum Field Theory; Field Theories in Lower Dimensions
College: Faculty of Science and Engineering
Funders: TJH and SPK would like to acknowledge support from STFC Consolidated Grant Award ST/X000648/1. ZG is supported by an STFC PhD studentship award.
Issue: 8