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We argue for an exponential bound characterizing the chaotic properties of modular Hamiltonian flow of QFT subsystems.
1903
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A. Belin, D. M. Hofman and G. Mathys, JHEP 1908
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1909
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H. Araki, “Some Properties Of Modular Conjugation Operator of Von Neumann Algebras and a Noncommutative Radon-Nikodym Theorem With A Chain Rule,” Pacific J. Math. 50 (1974) 309-54
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S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
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M. Van Raamsdonk, “Building up spacetime with quantum entanglement,” Gen. Rel. Grav. 42
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J. Maldacena and L. Susskind, “Cool horizons for entangled black holes,” Fortsch. Phys. 61
2013
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S. H. Shenker and D. Stanford, “Black holes and the butterfly effect,” JHEP 1403
2014
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2014
T. Faulkner and A. Lewkowycz, “Bulk locality from modular flow,” JHEP 1707
2017
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D. Harlow, “The Ryu-Takayanagi Formula from Quantum Error Correction,” Commun. Math. Phys. 354
2017
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2017
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2017
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Cited alongside, same era.
J. Maldacena, S. H. Shenker and D. Stanford, “A bound on chaos,” JHEP 1608
2016
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2016
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E. Perlmutter, “Bounding the Space of Holographic CFTs with Chaos,” JHEP 1610
2016
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2016
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S. Caron-Huot, “Analyticity in Spin in Conformal Theories,” JHEP 1709
2017
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2018
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2018
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2018
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F. M. Haehl and M. Rozali, “Effective Field Theory for Chaotic CFTs,” JHEP 1810
2018
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