2015/03/31 by Pawel Caputa, Paweł Caputa, Joan Simón +3 · 78 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #BTZ black hole #Black Holes and Theoretical Physics #Black hole (networking) #Black hole information paradox #Event horizon #Holography #Horizon #Noncommutative and Quantum Gravity Theories #Operator (biology) #Quantum entanglement #Scrambling #hep-th
paper · pdf · doi:10.1007/jhep08(2015)011
published in Journal of High Energy Physics 2015(8) (Springer Nature) · 37 pages, 5 figures
arxiv created 2015/07/12 · openalex publication_date 2015/08/01 · arxiv updated 2015/09/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We compute the mutual information between finite intervals in two non-compact 2d CFTs in the thermofield double formulation after one of them has been locally perturbed by a primary operator at some time tω in the large c limit. We determine the time scale, called the scrambling time, at which the mutual information vanishes and the original entanglement between the thermofield double gets destroyed by the perturbation. We provide a holographic description in terms of a free falling particle in the eternal BTZ black hole that exactly matches our CFT calculations. Our results hold for any time tω . In particular, when the latter is large, they reproduce the bulk shock-wave propagation along the BTZ horizon description.