Scrambling time from local perturbations of the rotating BTZ black hole
Andrius \v{S}tikonas
TL;DR
This paper studies how local perturbations affect entanglement and scrambling time in rotating BTZ black holes, providing a dual CFT description and exact gravity-CFT matching.
Contribution
It introduces a detailed analysis of entanglement entropy and mutual information in rotating BTZ black holes with a novel dual CFT framework and exact gravity-CFT correspondence.
Findings
Derived mutual information between intervals in rotating BTZ.
Calculated the scrambling time for the black hole.
Established exact gravity and CFT result matching.
Abstract
In this paper, we investigate the entanglement entropy of the rotating BTZ black hole perturbed by a massive back-reacting free falling particle. Then, mutual information between two finite intervals in two asymptotic regions of rotating BTZ is derived. It allows us to find the scrambling time, the time scale in which mutual information vanishes. We give a dual large CFT description in terms of a thermofield double state with different temperatures for left and right moving modes that is perturbed by a local operator. Exact matching between gravity and CFT results is obtained.
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