A bound on chaos

Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas

doi:10.1007/JHEP08(2016)106

Title: A bound on chaos

Journal Article · Wed Aug 17 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP08(2016)106· OSTI ID:1434623

Maldacena, Juan ^[1]; Shenker, Stephen H. ^[2]; Stanford, Douglas ^[1]

Princeton Univ., NJ (United States)
Stanford Univ., CA (United States)

We conjecture a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom. Chaos can be diagnosed using an out-of-time-order correlation function closely related to the commutator of operators separated in time. We conjecture that the influence of chaos on this correlator can develop no faster than exponentially, with Lyapunov exponent λ L ≤ 2πk B T/ℏ. We give a precise mathematical argument, based on plausible physical assumptions, establishing this conjecture.

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0009988

OSTI ID:: 1434623

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 8; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 1047 works

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References (31)

Black holes as mirrors: quantum information in random subsystems Hayden, Patrick; Preskill, John Journal of High Energy Physics, Vol. 2007, Issue 09 https://doi.org/10.1088/1126-6708/2007/09/120	journal	September 2007
Spectral Gap and Exponential Decay of Correlations Hastings, Matthew B.; Koma, Tohru Communications in Mathematical Physics, Vol. 265, Issue 3 https://doi.org/10.1007/s00220-006-0030-4	journal	April 2006
Towards the fast scrambling conjecture Lashkari, Nima; Stanford, Douglas; Hastings, Matthew Journal of High Energy Physics, Vol. 2013, Issue 4 https://doi.org/10.1007/JHEP04(2013)022	journal	April 2013
Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics Kovtun, P. K.; Son, D. T.; Starinets, A. O. Physical Review Letters, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevLett.94.111601	journal	March 2005
Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory Roberts, Daniel A.; Stanford, Douglas Physical Review Letters, Vol. 115, Issue 13 https://doi.org/10.1103/PhysRevLett.115.131603	journal	September 2015
Eikonal approximation in AdS/CFT: from shock waves to four-point functions Cornalba, Lorenzo; Costa, Miguel S.; Penedones, João Journal of High Energy Physics, Vol. 2007, Issue 08 https://doi.org/10.1088/1126-6708/2007/08/019	journal	August 2007
Conformal bootstrap, universality and gravitational scattering Jackson, Steven; McGough, Lauren; Verlinde, Herman Nuclear Physics B, Vol. 901 https://doi.org/10.1016/j.nuclphysb.2015.10.013	journal	December 2015
An apologia for firewalls Almheiri, Ahmed; Marolf, Donald; Polchinski, Joseph Journal of High Energy Physics, Vol. 2013, Issue 9 https://doi.org/10.1007/JHEP09(2013)018	journal	September 2013
The black hole interpretation of string theory 't Hooft, G. Nuclear Physics B, Vol. 335, Issue 1 https://doi.org/10.1016/0550-3213(90)90174-C	journal	April 1990
On gravitational shock waves in curved spacetimes Sfetsos, Konstadinos Nuclear Physics B, Vol. 436, Issue 3 https://doi.org/10.1016/0550-3213(94)00573-W	journal	February 1995
Exact and approximate unitary 2-designs and their application to fidelity estimation Dankert, Christoph; Cleve, Richard; Emerson, Joseph Physical Review A, Vol. 80, Issue 1 https://doi.org/10.1103/PhysRevA.80.012304	journal	July 2009
The Regge limit for Green functions in conformal field theory Banks, T.; Festuccia, G. Journal of High Energy Physics, Vol. 2010, Issue 6 https://doi.org/10.1007/JHEP06(2010)105	journal	June 2010
Black holes and the butterfly effect Shenker, Stephen H.; Stanford, Douglas Journal of High Energy Physics, Vol. 2014, Issue 3 https://doi.org/10.1007/JHEP03(2014)067	journal	March 2014
The gravitational shock wave of a massless particle Dray, Tevian; 't Hooft, Gerard Nuclear Physics B, Vol. 253 https://doi.org/10.1016/0550-3213(85)90525-5	journal	January 1985
Fast scramblers Sekino, Yasuhiro; Susskind, L. Journal of High Energy Physics, Vol. 2008, Issue 10 https://doi.org/10.1088/1126-6708/2008/10/065	journal	October 2008
Stringy effects in scrambling Shenker, Stephen H.; Stanford, Douglas Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/JHEP05(2015)132	journal	May 2015
Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory Kats, Yevgeny; Petrov, Pavel Journal of High Energy Physics, Vol. 2009, Issue 01 https://doi.org/10.1088/1126-6708/2009/01/044	journal	January 2009
The finite group velocity of quantum spin systems Lieb, Elliott H.; Robinson, Derek W. Communications in Mathematical Physics, Vol. 28, Issue 3 https://doi.org/10.1007/BF01645779	journal	September 1972
Comment on “Random Quantum Circuits are Approximate 2-designs” by A.W. Harrow and R.A. Low (Commun. Math. Phys. 291, 257–302 (2009)) Diniz, Igor Tuche; Jonathan, Daniel Communications in Mathematical Physics, Vol. 304, Issue 1 https://doi.org/10.1007/s00220-011-1217-x	journal	March 2011
Localized shocks Roberts, Daniel A.; Stanford, Douglas; Susskind, Leonard Journal of High Energy Physics, Vol. 2015, Issue 3 https://doi.org/10.1007/JHEP03(2015)051	journal	March 2015
Causality constraints on corrections to the graviton three-point coupling Camanho, Xián O.; Edelstein, José D.; Maldacena, Juan Journal of High Energy Physics, Vol. 2016, Issue 2 https://doi.org/10.1007/JHEP02(2016)020	journal	February 2016
Efficiency of producing random unitary matrices with quantum circuits Arnaud, Ludovic; Braun, Daniel Physical Review A, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevA.78.062329	journal	December 2008
Viscosity Bound and Causality Violation Brigante, Mauro; Liu, Hong; Myers, Robert C. Physical Review Letters, Vol. 100, Issue 19 https://doi.org/10.1103/PhysRevLett.100.191601	journal	May 2008
The Pomeron and gauge/string duality Brower, Richard C.; Polchinski, Joseph; Strassler, Matthew J. Journal of High Energy Physics, Vol. 2007, Issue 12 https://doi.org/10.1088/1126-6708/2007/12/005	journal	December 2007
Holography from conformal field theory Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph Journal of High Energy Physics, Vol. 2009, Issue 10 https://doi.org/10.1088/1126-6708/2009/10/079	journal	October 2009
Random Quantum Circuits are Approximate 2-designs Harrow, Aram W.; Low, Richard A. Communications in Mathematical Physics, Vol. 291, Issue 1 https://doi.org/10.1007/s00220-009-0873-6	journal	July 2009
Convergence Rates for Arbitrary Statistical Moments of Random Quantum Circuits Brown, Winton G.; Viola, Lorenza Physical Review Letters, Vol. 104, Issue 25 https://doi.org/10.1103/PhysRevLett.104.250501	journal	June 2010
Black holes as mirrors: quantum information in random subsystems Hayden, Patrick; Preskill, John arXiv https://doi.org/10.48550/arxiv.0708.4025	text	January 2007
Random Quantum Circuits are Approximate 2-designs Harrow, Aram W.; Low, Richard A. arXiv https://doi.org/10.48550/arxiv.0802.1919	text	January 2008
The Regge Limit for Green Functions in Conformal Field Theory Banks, Tom; Festuccia, Guido arXiv https://doi.org/10.48550/arxiv.0910.2746	text	January 2009
Spectral Gap and Exponential Decay of Correlations Hastings, Matthew B.; Koma, Tohru arXiv https://doi.org/10.48550/arxiv.math-ph/0507008	text	January 2005

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Quantum work statistics, Loschmidt echo and information scrambling Chenu, A.; Egusquiza, I. L.; Molina-Vilaplana, J. Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-30982-w	journal	August 2018
Optical radiation induced chaotic dynamics of electrons in a uniform magnetic field Yar, Abdullah; Zubair, Muhammad; Sabeeh, Kashif Journal of Physics: Condensed Matter, Vol. 32, Issue 9 https://doi.org/10.1088/1361-648x/ab5767	journal	November 2019
Estimating ergodization time of a chaotic many-particle system from a time reversal of equilibrium noise Tarkhov, Andrei E.; Fine, Boris V. New Journal of Physics, Vol. 20, Issue 12 https://doi.org/10.1088/1367-2630/aaf0b6	journal	December 2018
Out-of-time-ordered correlation functions in open systems: A Feynman-Vernon influence functional approach Tuziemski, Jan Physical Review A, Vol. 100, Issue 6 https://doi.org/10.1103/physreva.100.062106	journal	December 2019
Many-body systems with random spatially local interactions Morampudi, Siddhardh C.; Laumann, Chris R. Physical Review B, Vol. 100, Issue 24 https://doi.org/10.1103/physrevb.100.245152	journal	December 2019
Charge transport in graphene-based mesoscopic realizations of Sachdev-Ye-Kitaev models Can, Oguzhan; Nica, Emilian M.; Franz, Marcel Physical Review B, Vol. 99, Issue 4 https://doi.org/10.1103/physrevb.99.045419	journal	January 2019
Operator spreading in quantum maps Moudgalya, Sanjay; Devakul, Trithep; von Keyserlingk, C. W. Physical Review B, Vol. 99, Issue 9 https://doi.org/10.1103/physrevb.99.094312	journal	March 2019
Holography for tensor models de Mello Koch, Robert; Gossman, David; Tahiridimbisoa, Nirina Hasina Physical Review D, Vol. 101, Issue 4 https://doi.org/10.1103/physrevd.101.046004	journal	February 2020
Eigenstate thermalization hypothesis and out of time order correlators Foini, Laura; Kurchan, Jorge Physical Review E, Vol. 99, Issue 4 https://doi.org/10.1103/physreve.99.042139	journal	April 2019
Eigenstate Correlations, Thermalization, and the Butterfly Effect Chan, Amos; De Luca, Andrea; Chalker, J. T. Physical Review Letters, Vol. 122, Issue 22 https://doi.org/10.1103/physrevlett.122.220601	journal	June 2019
Recent Developments in the Holographic Description of Quantum Chaos Jahnke, Viktor Advances in High Energy Physics, Vol. 2019 https://doi.org/10.1155/2019/9632708	journal	March 2019
Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model. García-García, Antonio M.; Loureiro, Bruno; Romero-Bermúdez, Aurelio Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.30262	text	January 2018
Tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model Behrends, Jan; Bardarson, Jh; Béri, B. Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.40082	text	January 2019
Thickening and sickening the SYK model Khveshchenko, Dmitri SciPost Physics, Vol. 5, Issue 1 https://doi.org/10.21468/scipostphys.5.1.012	journal	January 2018
Many-Body Quantum Interference and the Saturation of Out-of-Time-Order Correlators Rammensee, Josef; Urbina, Juan Diego; Richter, Klaus Universität Regensburg https://doi.org/10.5283/epub.37336	text	January 2018
Quasi-topological Ricci polynomial gravities Li, Yue-Zhou; Liu, Hai-Shan; Lü, H. Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/jhep02(2018)166	journal	February 2018
Correlators on non-supersymmetric Wilson line in $$ \mathcal{N}=4 $$ SYM and AdS2/CFT1 Beccaria, Matteo; Giombi, Simone; Tseytlin, Arkady A. Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/jhep05(2019)122	journal	May 2019
Dynamics of quantum information Lewis-Swan, R. J.; Safavi-Naini, A.; Kaufman, A. M. Nature Reviews Physics, Vol. 1, Issue 10 https://doi.org/10.1038/s42254-019-0090-y	journal	August 2019
Resistivity bound for hydrodynamic bad metals Lucas, Andrew; Hartnoll, Sean A. Proceedings of the National Academy of Sciences, Vol. 114, Issue 43 https://doi.org/10.1073/pnas.1711414114	journal	October 2017
Scrambling and thermalization in a diffusive quantum many-body system Bohrdt, A.; Mendl, C. B.; Endres, M. New Journal of Physics, Vol. 19, Issue 6 https://doi.org/10.1088/1367-2630/aa719b	journal	June 2017
Optimizing measurement strengths for qubit quasiprobabilities behind out-of-time-ordered correlators Mohseninia, Razieh; Alonso, José Raúl González; Dressel, Justin Physical Review A, Vol. 100, Issue 6 https://doi.org/10.1103/physreva.100.062336	journal	December 2019
Scrambling of quantum information in quantum many-body systems Iyoda, Eiki; Sagawa, Takahiro Physical Review A, Vol. 97, Issue 4 https://doi.org/10.1103/physreva.97.042330	journal	April 2018
Family of Sachdev-Ye-Kitaev models motivated by experimental considerations Lantagne-Hurtubise, Étienne; Li, Chengshu; Franz, Marcel Physical Review B, Vol. 97, Issue 23 https://doi.org/10.1103/physrevb.97.235124	journal	June 2018
Conformality of $1 / N$ corrections in Sachdev-Ye-Kitaev-like models Dartois, Stéphane; Erbin, Harold; Mondal, Swapnamay Physical Review D, Vol. 100, Issue 12 https://doi.org/10.1103/physrevd.100.125005	journal	December 2019
Out of time ordered effective dynamics of a quartic oscillator Chakrabarty, Bidisha; Chaudhuri, Soumyadeep SciPost Physics, Vol. 7, Issue 1 https://doi.org/10.21468/scipostphys.7.1.013	journal	January 2019
Boomerang RG flows with intermediate conformal invariance Donos, Aristomenis; Gauntlett, Jerome P.; Rosen, Christopher Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/jhep04(2018)017	journal	April 2018
Unscrambling the physics of out-of-time-order correlators Swingle, Brian Nature Physics, Vol. 14, Issue 10 https://doi.org/10.1038/s41567-018-0295-5	journal	October 2018
Thermalization and possible signatures of quantum chaos in complex crystalline materials Zhang, Jiecheng; Kountz, Erik D.; Behnia, Kamran Proceedings of the National Academy of Sciences, Vol. 116, Issue 40 https://doi.org/10.1073/pnas.1910131116	journal	September 2019
Controlling chaos in the quantum regime using adaptive measurements Eastman, Jessica K.; Szigeti, Stuart S.; Hope, Joseph J. Physical Review A, Vol. 99, Issue 1 https://doi.org/10.1103/physreva.99.012111	journal	January 2019
Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite $N$ Dai, Xin; Jian, Shao-Kai; Yao, Hong Physical Review B, Vol. 100, Issue 23 https://doi.org/10.1103/physrevb.100.235144	journal	December 2019
Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems Gopalakrishnan, Sarang; Huse, David A.; Khemani, Vedika Physical Review B, Vol. 98, Issue 22 https://doi.org/10.1103/physrevb.98.220303	journal	December 2018
Chaos and complexity in quantum mechanics Ali, Tibra; Bhattacharyya, Arpan; Haque, S. Shajidul Physical Review D, Vol. 101, Issue 2 https://doi.org/10.1103/physrevd.101.026021	journal	January 2020
Remarks on the Sachdev-Ye-Kitaev model Maldacena, Juan; Stanford, Douglas Physical Review D, Vol. 94, Issue 10 https://doi.org/10.1103/physrevd.94.106002	journal	November 2016
Eigenstate entanglement between quantum chaotic subsystems: Universal transitions and power laws in the entanglement spectrum Tomsovic, Steven; Lakshminarayan, Arul; Srivastava, Shashi C. L. Physical Review E, Vol. 98, Issue 3 https://doi.org/10.1103/physreve.98.032209	journal	September 2018
Fluctuation Theorem for Many-Body Pure Quantum States Iyoda, Eiki; Kaneko, Kazuya; Sagawa, Takahiro Physical Review Letters, Vol. 119, Issue 10 https://doi.org/10.1103/physrevlett.119.100601	journal	September 2017
On CFT and Quantum Chaos Turiaci, Gustavo; Verlinde, Herman arXiv https://doi.org/10.48550/arxiv.1603.03020	text	January 2016
Slow scrambling in disordered quantum systems Swingle, Brian; Chowdhury, Debanjan arXiv https://doi.org/10.48550/arxiv.1608.03280	text	January 2016
Thermodynamics of quantum information scrambling Campisi, Michele; Goold, John arXiv https://doi.org/10.48550/arxiv.1609.05848	text	January 2016
Out-of-Time-Order Correlation in Marginal Many-Body Localized Systems Slagle, Kevin; Bi, Zhen; You, Yi-Zhuang arXiv https://doi.org/10.48550/arxiv.1611.04058	text	January 2016
Black Holes and Random Matrices Cotler, Jordan S.; Gur-Ari, Guy; Hanada, Masanori arXiv https://doi.org/10.48550/arxiv.1611.04650	text	January 2016
Hexagonalization of Correlation Functions Fleury, Thiago; Komatsu, Shota arXiv https://doi.org/10.48550/arxiv.1611.05577	text	January 2016
Quantum bound to chaos and the semiclassical limit Kurchan, Jorge arXiv https://doi.org/10.48550/arxiv.1612.01278	preprint	January 2016
Higher derivative corrections to incoherent metallic transport in holography Baggioli, Matteo; Goutéraux, Blaise; Kiritsis, Elias arXiv https://doi.org/10.48550/arxiv.1612.05500	text	January 2016
Scale Anomalies, States, and Rates in Conformal Field Theory Gillioz, Marc; Lu, Xiaochuan; Luty, Markus A. arXiv https://doi.org/10.48550/arxiv.1612.07800	text	January 2016
Entanglement, quantum randomness, and complexity beyond scrambling Liu, Zi-Wen; Lloyd, Seth; Zhu, Elton Yechao arXiv https://doi.org/10.48550/arxiv.1703.08104	text	January 2017
Conformal Bootstrap in the Regge Limit Li, Daliang; Meltzer, David; Poland, David arXiv https://doi.org/10.48550/arxiv.1705.03453	text	January 2017
Thermal diffusivity and chaos in metals without quasiparticles Blake, Mike; Davison, Richard A.; Sachdev, Subir arXiv https://doi.org/10.48550/arxiv.1705.07896	text	January 2017
Operator Spreading in Random Unitary Circuits Nahum, Adam; Vijay, Sagar; Haah, Jeongwan arXiv https://doi.org/10.48550/arxiv.1705.08975	text	January 2017
Relating out-of-time-order correlations to entanglement via multiple-quantum coherences Gärttner, Martin; Hauke, Philipp; Rey, Ana Maria arXiv https://doi.org/10.48550/arxiv.1706.01616	text	January 2017
Nonexponential quantum decay under environmental decoherence Beau, M.; Kiukas, J.; Egusquiza, I. L. arXiv https://doi.org/10.48550/arxiv.1706.06943	text	January 2017
Spectral Form Factor in Non-Gaussian Random Matrix Theories Gaikwad, Adwait; Sinha, Ritam arXiv https://doi.org/10.48550/arxiv.1706.07439	text	January 2017
Teleportation Through the Wormhole Susskind, Leonard; Zhao, Ying arXiv https://doi.org/10.48550/arxiv.1707.04354	text	January 2017
Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate Bianchi, Eugenio; Hackl, Lucas; Yokomizo, Nelson arXiv https://doi.org/10.48550/arxiv.1709.00427	text	January 2017
Renyi Entropy for Local Quenches in 2D CFTs from Numerical Conformal Blocks Kusuki, Yuya; Takayanagi, Tadashi arXiv https://doi.org/10.48550/arxiv.1711.09913	text	January 2017
Complexity of the AdS Soliton Reynolds, Alan P.; Ross, Simon F. arXiv https://doi.org/10.48550/arxiv.1712.03732	text	January 2017
Many-body localization, symmetry, and topology Parameswaran, S. A.; Vasseur, Romain arXiv https://doi.org/10.48550/arxiv.1801.07731	text	January 2018
The non-Integrability of Strings in Massive Type IIA and their Holographic duals Nunez, Carlos; Penin, Jose Manuel; Roychowdhury, Dibakar arXiv https://doi.org/10.48550/arxiv.1802.04269	text	January 2018
The Conformal Bootstrap at Finite Temperature Iliesiu, Luca; Koloğlu, Murat; Mahajan, Raghu arXiv https://doi.org/10.48550/arxiv.1802.10266	text	January 2018
Entanglement Features of Random Hamiltonian Dynamics You, Yi-Zhuang; Gu, Yingfei arXiv https://doi.org/10.48550/arxiv.1803.10425	text	January 2018
Falling Toward Charged Black Holes Brown, Adam R.; Gharibyan, Hrant; Streicher, Alexandre arXiv https://doi.org/10.48550/arxiv.1804.04156	text	January 2018
Butterfly Velocity in Quadratic Gravity Huang, Wung-Hong arXiv https://doi.org/10.48550/arxiv.1804.05527	text	January 2018
Light-ray operators in conformal field theory Kravchuk, Petr; Simmons-Duffin, David arXiv https://doi.org/10.48550/arxiv.1805.00098	text	January 2018
Chaos and High Temperature Pure State Thermalization Lensky, Yuri D.; Qi, Xiao-Liang arXiv https://doi.org/10.48550/arxiv.1805.03675	text	January 2018
Out-of-Time-Ordered-Correlator Quasiprobabilities Robustly Witness Scrambling Alonso, José Raúl González; Halpern, Nicole Yunger; Dressel, Justin arXiv https://doi.org/10.48550/arxiv.1806.09637	text	January 2018
On Melonic Supertensor Models Chang, Chi-Ming; Colin-Ellerin, Sean; Rangamani, Mukund arXiv https://doi.org/10.48550/arxiv.1806.09903	text	January 2018
Nonlinear sigma model approach to many-body quantum chaos: Regularized and unregularized out-of-time-ordered correlators Liao, Yunxiang; Galitski, Victor arXiv https://doi.org/10.48550/arxiv.1807.09799	text	January 2018
Rate of cluster decomposition via Fermat-Steiner point Avdoshkin, Alexander; Astrakhantsev, Lev; Dymarsky, Anatoly arXiv https://doi.org/10.48550/arxiv.1811.03633	text	January 2018
Gapless odd-frequency superconductivity induced by the Sachdev-Ye-Kitaev model Gnezdilov, Nikolay V. arXiv https://doi.org/10.48550/arxiv.1812.00736	text	January 2018
The Most Irrational Rational Theories Benjamin, Nathan; Dyer, Ethan; Fitzpatrick, A. Liam arXiv https://doi.org/10.48550/arxiv.1812.07579	text	January 2018
Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains Agrawal, Utkarsh; Gopalakrishnan, Sarang; Vasseur, Romain arXiv https://doi.org/10.48550/arxiv.1903.03122	text	January 2019
Phases of scrambling in eigenstates Anous, Tarek; Sonner, Julian arXiv https://doi.org/10.48550/arxiv.1903.03143	text	January 2019
Quantum information scrambling after a quantum quench Alba, Vincenzo; Calabrese, Pasquale arXiv https://doi.org/10.48550/arxiv.1903.09176	text	January 2019
The chiral SYK model Lian, Biao; Sondhi, S. L.; Yang, Zhenbin arXiv https://doi.org/10.48550/arxiv.1906.03308	text	January 2019
Dynamics of quantum information Lewis-Swan, R. J.; Safavi-Naini, A.; Kaufman, A. M. arXiv https://doi.org/10.48550/arxiv.1908.11747	text	January 2019

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