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We analyze a crossover between ergodic and non-ergodic regimes in an interacting spin chain with a dilute density of impurities, defined as spins with a strong local field.
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M. B. Zvonarev, V. V. Cheianov, and T. Giamarchi, “Spin dynamics in a one-dimensional ferromagnetic bose gas,” Physical Review Letters 99
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Rajdeep Sensarma, David Pekker, Ehud Altman, Eugene Demler, Niels Strohmaier, Daniel Greif, Robert Jördens, Leticia Tarruell, Henning Moritz, and Tilman Esslinger, “Lifetime of double occupancies in the fermi-hubbard model,” Physical Review B 82
2010
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2010
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2011
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2012
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Aviva Gubin and Lea F. Santos, “Quantum chaos: An introduction via chains of interacting spins 1/2,” Am. J. Phys 80
2012
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Jens H. Bardarson, Frank Pollmann, and Joel E. Moore, “Unbounded growth of entanglement in models of many-body localization,” Physical Review Letters 109
2012
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YY Atas, E Bogomolny, O Giraud, and G Roux, “Distribution of the ratio of consecutive level spacings in random matrix ensembles,” Phys. Rev. Lett. 110
2013
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Luca D’Alessio and Anatoli Polkovnikov, “Many-body energy localization transition in periodically driven systems,” Annals of Physics 333
2013
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E. J. Torres-Herrera and Lea F. Santos, “Local quenches with global effects in interacting quantum systems,” Phys. Rev. E 89
2014
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Michael Schreiber, Sean S. Hodgman, Pranjal Bordia, Henrik P. Lüschen, Mark H. Fischer, Ronen Vosk, Ehud Altman, Ulrich Schneider, and Immanuel Bloch, “Observation of many-body localization of interacting fermions in a quasirandom optical lattice,” Science 349
2015
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Rahul Nandkishore and David A Huse, “Many-body localization and thermalization in quantum statistical mechanics,” Annu. Rev. Condens. Matter Phys. 6
2015
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Dmitry A. Abanin, Wojciech De Roeck, and Fran çois Huveneers, “Exponentially slow heating in periodically driven many-body systems,” Phys. Rev. Lett. 115
2015
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Hyungwon Kim, Mari Carmen Bañuls, J. Ignacio Cirac, Matthew B. Hastings, and David A. Huse, “Slowest local operators in quantum spin chains,” Physical Review E 92
2015
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E J Torres-Herrera, Davida Kollmar, and Lea F Santos, “Relaxation and thermalization of isolated many-body quantum systems,” Physica Scripta T165
2015
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V E Kravtsov, I M Khaymovich, E Cuevas, and M Amini, “A random matrix model with localization and ergodic transitions,” New Journal of Physics 17
2015
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Kartiek Agarwal, Sarang Gopalakrishnan, Michael Knap, Markus Müller, and Eugene Demler, “Anomalous diffusion and griffiths effects near the many-body localization transition,” Phys. Rev. Lett. 114
2015
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Ronen Vosk, David A. Huse, and Ehud Altman, “Theory of the many-body localization transition in one-dimensional systems,” Phys. Rev. X 5
2015
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John Z. Imbrie, “On many-body localization for quantum spin chains,” Journal of Statistical Physics , 988 (2016)
2016
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Marin Bukov, Michael Kolodrubetz, and Anatoli Polkovnikov, “Schrieffer-wolff transformation for periodically driven systems: Strongly correlated systems with artificial gauge fields,” Physical Review Letters 116
2016
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T. E. O’Brien, Dmitry A. Abanin, Guifre Vidal, and Z. Papić, “Explicit construction of local conserved operators in disordered many-body systems,” Physical Review B 94
2016
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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,” Adv. Phys. 65
Owen Howell, Phillip Weinberg, Dries Sels, Anatoli Polkovnikov, and Marin Bukov, “Asymptotic prethermalization in periodically driven classical spin chains,” Phys. Rev. Lett. 122
2019
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Vedika Khemani, Roderich Moessner, and S. L. Sondhi, “A brief history of time crystals,” (2019)
2019
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Piotr Sierant, Maciej Lewenstein, and Jakub Zakrzewski, “Polynomially filtered exact diagonalization approach to many-body localization,” Physical Review Letters 125
2020
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David J. Luitz and Yevgeny Bar Lev, “Absence of slow particle transport in the many-body localized phase,” Phys. Rev. B 102
2020
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R. K. Panda, A. Scardicchio, M. Schulz, S. R. Taylor, and M. Žnidarič, “Can we study the many-body localisation transition?” EPL (Europhysics Letters) 128
2020
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2016
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Francesca Pietracaprina, Valentina Ros, and Antonello Scardicchio, “Forward approximation as a mean-field approximation for the anderson and many-body localization transitions,” Physical Review B 93
2016
Cited alongside, same era.
Ilia Khait, Snir Gazit, Norman Y. Yao, and Assa Auerbach, “Spin transport of weakly disordered heisenberg chain at infinite temperature,” Phys. Rev. B 93
2016
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Marko Žnidarič, Antonello Scardicchio, and Vipin Kerala Varma, “Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system,” Phys. Rev. Lett. 117
2016
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Wojciech De Roeck and Francois Huveneers, “Stability and instability towards delocalization in many-body localization systems,” Phys. Rev. B 95
2017
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Michael Kolodrubetz, Dries Sels, Pankaj Mehta, and Anatoli Polkovnikov, “Geometry and non-adiabatic response in quantum and classical systems,” Phys. Rep. 697
2017
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Maksym Serbyn, Z. Papić, and Dmitry A. Abanin, “Thouless energy and multifractality across the many-body localization transition,” Phys. Rev. B 96
2017
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David J. Luitz and Yevgeny Bar Lev, “The ergodic side of the many-body localization transition,” Annalen der Physik 529
2017
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2020
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Mohit Pandey, Pieter W. Claeys, David K. Campbell, Anatoli Polkovnikov, and Dries Sels, “Adiabatic eigenstate deformations as a sensitive probe for quantum chaos,” Physical Review X 10
2020
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P. J. D. Crowley and A. Chandran, “Avalanche induced coexisting localized and thermal regions in disordered chains,” Phys. Rev. Research 2
2020
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2021
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