n-partite information in Hawking radiation

TL;DR

This paper investigates the entanglement structure of Hawking radiation in black holes, revealing patterns consistent with holographic models and linking mutual information growth to thermodynamic laws.

Contribution

It provides explicit calculations of n-partite information in Hawking radiation, demonstrating its sign pattern and connection to quantum gravity effects and phase transitions.

Findings

n-partite information alternates sign with n

Mutual information growth mimics the second law of thermodynamics

Total mutual information signals Hawking-Page phase transition

Abstract

We study the entanglement among sequential Hawking radiations in the Parikh-Wilczek tunneling model of Schwarzschild black hole. We identify the part of classical correlation and that of quantum entanglement in bipartite information and point out its imitated relation to quantum gravity correction. Explicit computation of n-partite information shows that it is positive (negative) for even (odd) $n$, which happens to agree with the holographic computation. The fact that entanglement in the mutual information grows with time mimics the second law of thermodynamics. Later we extend our study to the AdS black hole and find the total mutual information which includes the classical correlation is sensible to the Hawking-Page phase transition.