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タイトル: Butterflies from information metric
著者: Miyaji, Masamichi
キーワード: 1/N Expansion
AdS-CFT Correspondence
Black Holes
Conformal Field Theory
発行日: 1-Sep-2016
出版者: Springer Nature
誌名: Journal of High Energy Physics
巻: 2016
論文番号: 2
抄録: We study time evolution of distance between thermal states excited by local operators, with different external couplings. We find that growth of the distance implies growth of commutators of operators, signifying the local excitations are scrambled. We confirm this growth of distance by holographic computation, by evaluating volume of codimension 1 extremal volume surface. We find that the distance increases exponentially as e_2πt/β. Our result implies that, in chaotic system, trajectories of excited thermal states exhibit high sensitivity to perturbation to the Hamiltonian, and the distance between them will be significant at the scrambling time. We also confirm the decay of two point function of holographic Wilson loops on thermofield double state.
著作権等: © 2016, The Author(s). JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
URI: http://hdl.handle.net/2433/218237
DOI(出版社版): 10.1007/JHEP09(2016)002
出現コレクション:学術雑誌掲載論文等

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