Charge Fluctuation Entropy of Hawking Radiation: A Replica-free Way to Find... - Alexey Milekhin

Workshop on Quantum Information and Spacetime

Topic: Charge Fluctuation Entropy of Hawking Radiation: A Replica-free Way to Find Large Entropy
Speaker: Alexey Milekhin
Affiliation: University of California, Santa Barbara
Date: December 8, 2021

We study the fluctuation entropy for two-dimensional matter systems with an internal symmetry coupled to Jackiw--Teitelboim(JT) gravity joined to a Minkowski region. The fluctuation entropy is the Shannon entropy associated with probabilities of finding a particular charge in a region. We first consider a case where the matter has a global symmetry. We find that the fluctuation entropy of Hawking radiation shows an unbounded growth and exceeds the entanglement entropy in the presence of islands. This indicates that the global symmetry is violated. We then discuss the fluctuation entropy for matter coupled to a two-dimensional gauge field. We find a lower bound on the gauge coupling g_0 in order to avoid a similar issue. Also, we point out a few puzzles related to the island prescription in presence of a gauge symmetry.

[mohamedelghamry]

Im in 8th grade but still watching this

[defwishfx]

You guys have worries. I have a pet slug which does not care about gravity at all...but is often trying to kick "stupid neutrinos because they tickle". No idea how to kick without legs but I am no Slug-Won Do black belt.