Islands in the Stream of Hawking Radiation
Timothy J. Hollowood, S. Prem Kumar, Andrea Legramandi, Neil Talwar
TL;DR
This paper develops a simplified formula for calculating the entropy of Hawking radiation using the island approach, enabling analysis of quantum information properties in black hole evaporation.
Contribution
It introduces a concrete on-shell formula for the generalized entropy involving the island in the stream, advancing the understanding of black hole information.
Findings
Verified the Araki-Lieb inequality for radiation entropy
Confirmed strong subadditivity constraints
Provided a practical method for entropy calculation in slow evaporation limit
Abstract
We consider the island formula for the entropy of subsets of the Hawking radiation in the adiabatic limit where the evaporation is very slow. We find a simple concrete `on-shell' formula for the generalized entropy which involves the image of the island out in the stream of radiation, the `island in the stream'. The resulting recipe for the entropy allows us to calculate the quantum information properties of the radiation and verify various constraints including the Araki-Lieb inequality and strong subadditivity.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.