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We investigate the stability of the many-body localized (MBL) phase for a system in contact with a single ergodic grain, modelling a Griffiths region with low disorder.
P. W. Anderson, “Absence of Diffusion in Certain Random Lattices,” Phys. Rev. 109
1958
Earlier work this paper cites.
L. Fleishman and P. W. Anderson, “Interactions and the Anderson transition,” Phys. Rev. B 21
1980
Earlier work this paper cites.
Mario Feingold, Nimrod Moiseyev, and Asher Peres, “Ergodicity and mixing in quantum theory. II,” Phys. Rev. A 30
1984
Earlier work this paper cites.
J. M. Deutsch, “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43
1991
Earlier work this paper cites.
Mark Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50
1994
Earlier work this paper cites.
I. V. Gornyi, A. D. Mirlin, and D. G. Polyakov, “Interacting electrons in disordered wires: Anderson localization and low-t transport,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
D. M. Basko, I. L. Aleiner, and B. L. Altshuler, “Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states,” Annals of physics 321
2006
Earlier work this paper cites.
Gabriele De Chiara, Simone Montangero, Pasquale Calabrese, and Rosario Fazio, “Entanglement entropy dynamics of Heisenberg chains,” J. Stat. Mech. 2006
2006
Earlier work this paper cites.
Marko Žnidarič, Tomaž Prosen, and Peter Prelovšek, “Many-body localization in the Heisenberg X X Z {XXZ} magnet in a random field,” Phys. Rev. B 77
2008
Earlier work this paper cites.
Marcos Rigol, Vanja Dunjko, and Maxim Olshanii, “Thermalization and its mechanism for generic isolated quantum systems,” Nature 452
2008
Earlier work this paper cites.
Arijeet Pal and David A. Huse, “Many-body localization phase transition,” Phys. Rev. B 82
2010
Earlier work this paper cites.
D. M. Basko, “Weak chaos in the disordered nonlinear schrödinger chain: destruction of anderson localization by arnold diffusion,” Annals of Physics 326
2011
Earlier work this paper cites.
Ludovic Berthier and Giulio Biroli, “Theoretical perspective on the glass transition and amorphous materials,” Rev. Mod. Phys. 83
2011
Earlier work this paper cites.
Ehsan Khatami, Marcos Rigol, Armando Relaño, and Antonio M. García-García, “Quantum quenches in disordered systems: Approach to thermal equilibrium without a typical relaxation time,” Phys. Rev. E 85
2012
Earlier work this paper cites.
Jens H. Bardarson, Frank Pollmann, and Joel E. Moore, “Unbounded Growth of Entanglement in Models of Many-Body Localization,” Phys. Rev. Lett. 109
2012
Earlier work this paper cites.
Mauro Schiulaz and M Müller, “Ideal quantum glass transitions: many-body localization without quenched disorder,” AIP Conf. Proc. 1610
2013
Earlier work this paper cites.
François Huveneers, “Drastic fall-off of the thermal conductivity for disordered lattices in the limit of weak anharmonic interactions,” Nonlinearity 26
2013
Earlier work this paper cites.
Tatsuhiko N. Ikeda, Yu Watanabe, and Masahito Ueda, “Finite-size scaling analysis of the eigenstate thermalization hypothesis in a one-dimensional interacting bose gas,” Phys. Rev. E 87
2013
Earlier work this paper cites.
Tarun Grover and Matthew PA Fisher, “Quantum disentangled liquids,” Journal of Statistical Mechanics: Theory and Experiment 2014
2014
Earlier work this paper cites.
David Pekker, Gil Refael, Ehud Altman, Eugene Demler, and Vadim Oganesyan, “Hilbert-Glass Transition: New Universality of Temperature-Tuned Many-Body Dynamical Quantum Criticality,” Phys. Rev. X 4
2014
Earlier work this paper cites.
David A. Huse, Rahul Nandkishore, and Vadim Oganesyan, “Phenomenology of fully many-body-localized systems,” Phys. Rev. B 90
2014
Earlier work this paper cites.
Wouter Beugeling, Roderich Moessner, and Masudul Haque, “Finite-size scaling of eigenstate thermalization,” Phys. Rev. E 89
2014
Cited alongside, same era.
Yevgeny Bar Lev and David R. Reichman, “Dynamics of many-body localization,” Phys. Rev. B 89
2014
Cited alongside, same era.
David J. Luitz, Nicolas Laflorencie, and Fabien Alet, “Many-body localization edge in the random-field Heisenberg chain,” Phys. Rev. B 91
2015
Cited alongside, same era.
Rahul Nandkishore and David A. Huse, “Many-Body Localization and Thermalization in Quantum Statistical Mechanics,” Annual Review of Condensed Matter Physics 6
2015
Cited alongside, same era.
Ehud Altman and Ronen Vosk, “Universal Dynamics and Renormalization in Many-Body-Localized Systems,” Annu. Rev. Condens. Matter Phys. 6
2015
Cited alongside, same era.
David J. Luitz and Yevgeny Bar Lev, “Anomalous Thermalization in Ergodic Systems,” Phys. Rev. Lett. 117
2016
Later among the works it cites.
2016
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The case α = 1 \alpha=1 is particular because the energy interaction between bath and LIOMs becomes much bigger than the bath energy as L l o c L_{loc} grows large. This induces effects Huse et al. 2015 ; Nandkishore and Gopalakrishnan 2016 that are not covered by the theory developed here
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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Mauro Schiulaz, Alessandro Silva, and Markus Müller, “Dynamics in many-body localized quantum systems without disorder,” Phys. Rev. B 91
2015
Cited alongside, same era.
Ronen Vosk, David A Huse, and Ehud Altman, “Theory of the many-body localization transition in one-dimensional systems,” Phys. Rev. X 5
2015
Cited alongside, same era.
Andrew C. Potter, Romain Vasseur, and S. A. Parameswaran, “Universal Properties of Many-Body Delocalization Transitions,” Phys. Rev. X 5
2015
Cited alongside, same era.
V. Ros, M. Müller, and A. Scardicchio, “Integrals of motion in the many-body localized phase,” Nuclear Physics B 891
2015
Cited alongside, same era.
Yevgeny Bar Lev, Guy Cohen, and David R. Reichman, “Absence of Diffusion in an Interacting System of Spinless Fermions on a One-Dimensional Disordered Lattice,” Phys. Rev. Lett. 114
2015
Cited alongside, same era.
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
Cited alongside, same era.
David A. Huse, Rahul Nandkishore, Francesca Pietracaprina, Valentina Ros, and Antonello Scardicchio, “Localized systems coupled to small baths: From anderson to zeno,” Phys. Rev. B 92
2015
Cited alongside, same era.
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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2016
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2017
Closest in time.
David J. Luitz and Yevgeny Bar Lev, “The ergodic side of the many-body localization transition,” Ann. Phys. (Berlin) (2017), 10.1002/andp.201600350
2017
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Kartiek Agarwal, Ehud Altman, Eugene Demler, Sarang Gopalakrishnan, David A. Huse, and Michael Knap, “Rare-region effects and dynamics near the many-body localization transition,” Ann. Phys. (Berlin) (2017), 10.1002/andp.201600326
2017
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S. A. Parameswaran, Andrew C. Potter, and Romain Vasseur, “Eigenstate phase transitions and the emergence of universal dynamics in highly excited states,” Ann. Phys. (Berlin) (2017), 10.1002/andp.201600302
2017
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In contrast, Griffiths regions of high disorder are also believed to be responsible for anomalous transport prior to the MBL transition Bar Lev and Reichman 2014 ; Bar Lev et al. 2015 ; Agarwal et al. 2015 ; Luitz et al. 2016 ; Žnidarič et al. 2016 ; Varma et al. 2017 ; Agarwal et al. 2017 ; Luitz and Bar Lev 2017
2017
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François Huveneers, “Classical and quantum systems: transport due to rare events,” Annalen der Physik , 1600384 (2017)
2017
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2017
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2017
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Vedika Khemani, Say-Peng Lim, D. N. Sheng, and David A. Huse, “Critical properties of the many-body localization transition,” Phys. Rev. X 7
2017
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Wojciech De Roeck and François Huveneers, “Stability and instability towards delocalization in many-body localization systems,” Phys. Rev. B 95
2017
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A bound on the localization length has also been derived in Vosk et al. 2015 , which is entirely different (it holds even without ergodic regions) and for a different quantity (the typical matrix element of the coupling whereas the bound in De Roeck and Huveneers 2017 is for the norm of the coupling). The crucial difference between these bounds is discussed in Thiery et al.
2017
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Louk Rademaker, Miguel Ortuño, and Andres M Somoza, “Many-body localization from the perspective of integrals of motion,” Annalen der Physik , 1600322 (2017)
2017
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Therefore it was called IPR in ( Serbyn et al. 2016 ; De Roeck and Huveneers 2017 )
2017
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V. Kerala Varma, Alessio Lerose, Francesca Pietracaprina, John Goold, and Antonello Scardicchio, “Energy diffusion in the ergodic phase of a many body localizable spin chain,” Journal of Statistical Mechanics: Theory and Experiment 2017
2017
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