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We review different tensor network approaches to study the spreading of operators in generic nonintegrable quantum systems.
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2017
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Tianci Zhou and David J. Luitz, “Operator entanglement entropy of the time evolution operator in chaotic systems,” Phys. Rev. B, 95
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Sthitadhi Roy, Yevgeny Bar Lev, and David J. Luitz, “Anomalous thermalization and transport in disordered interacting Floquet systems,” Phys. Rev. B, 98
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Luca D’Alessio, Yariv Kafri, Anatoli Polkovnikov, and Marcos Rigol, “From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics,” Advances in Physics, 65
2016
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Fausto Borgonovi, Felix M. Izrailev, Lea F. Santos, and Vladimir G. Zelevinsky, “Quantum chaos and thermalization in isolated systems of interacting particles,” Physics Reports, Quantum chaos and thermalization in isolated systems of interacting particles, 626
2016
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Adam M. Kaufman, M. Eric Tai, Alexander Lukin, Matthew Rispoli, Robert Schittko, Philipp M. Preiss, and Markus Greiner, “Quantum thermalization through entanglement in an isolated many-body system,” Science, 353
2016
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David J. Luitz, “Long tail distributions near the many-body localization transition,” Phys. Rev. B, 93
2016
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David J. Luitz and Yevgeny Bar Lev, “Anomalous thermalization in ergodic systems,” Phys. Rev. Lett., 117
2016
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David J. Luitz, Nicolas Laflorencie, and Fabien Alet, “Extended slow dynamical regime close to the many-body localization transition,” Phys. Rev. B, 93
2016
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2016
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2018
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Curt W. von Keyserlingk, Tibor Rakovszky, Frank Pollmann, and Shivaji L. Sondhi, “Operator hydrodynamics, otocs, and entanglement growth in systems without conservation laws,” Phys. Rev. X, 8
2018
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Tibor Rakovszky, Frank Pollmann, and C. W. von Keyserlingk, “Diffusive hydrodynamics of out-of-time-ordered correlators with charge conservation,” Phys. Rev. X, 8
2018
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Adam Nahum, Sagar Vijay, and Jeongwan Haah, “Operator spreading in random unitary circuits,” Phys. Rev. X, 8
2018
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Michael Knap, “Entanglement production and information scrambling in a noisy spin system,” Phys. Rev. B, 98
2018
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2018
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Benedikt Kloss, Yevgeny Bar Lev, and David Reichman, “Time-dependent variational principle in matrix-product state manifolds: Pitfalls and potential,” Phys. Rev. B, 97
2018
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2018
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Mike Blake, Hyunseok Lee, and Hong Liu, “A quantum hydrodynamical description for scrambling and many-body chaos,” Journal of High Energy Physics, 2018
2018
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Elmer V. H. Doggen, Frank Schindler, Konstantin S. Tikhonov, Alexander D. Mirlin, Titus Neupert, Dmitry G. Polyakov, and Igor V. Gornyi, “Many-body localization and delocalization in large quantum chains,” Phys. Rev. B, 98
2018
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Josef Rammensee, Juan Diego Urbina, and Klaus Richter, “Many-body quantum interference and the saturation of out-of-time-order correlators,” Phys. Rev. Lett., 121
2018
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