Abstract
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.
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Caputa, P., Simón, J., Štikonas, A. et al. Scrambling time from local perturbations of the eternal BTZ black hole. J. High Energ. Phys. 2015, 11 (2015). https://doi.org/10.1007/JHEP08(2015)011
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DOI: https://doi.org/10.1007/JHEP08(2015)011