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We study quench dynamics in an interacting spin chain with a quasi-periodic on-site field, known as the interacting Aubry-Andr\'e model of many-body localization.
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2013
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F. Setiawan, Dong-Ling Deng, and J. H. Pixley, “Transport properties across the many-body localization transition in quasiperiodic and random systems,” Phys. Rev. B 96
2017
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Piotr Sierant, Dominique Delande, and Jakub Zakrzewski, “Many-body localization due to random interactions,” Phys. Rev. A 95
2017
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Yevgeny Bar Lev, Dante M. Kennes, Christian Klöckner, David R. Reichman, and Christoph Karrasch, “Transport in quasiperiodic interacting systems: From superdiffusion to subdiffusion,” Europhys. Lett. 119
2017
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David J. Luitz and Yevgeny Bar Lev, “The ergodic side of the many-body localization transition,” Ann. Phys. (Berl.) 529
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Rahul Nandkishore and David A. Huse, “Many-body localization and thermalization in quantum statistical mechanics,” Ann. Rev. Cond. Mat. Phys. 6
2015
Cited alongside, same era.
Ehud Altman and Ronen Vosk, “Universal dynamics and renormalization in many-body-localized systems,” Ann. Rev. Cond. Mat. Phys. 6
2015
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David J. Luitz, Nicolas Laflorencie, and Fabien Alet, “Many-body localization edge in the random-field Heisenberg chain,” Phys. Rev. B 91
2015
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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
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.
Rajibul Islam, Ruichao Ma, Philipp M. Preiss, Tai M. Eric, Alexander Lukin, Matthew Rispoli, and Markus Greiner, “Measuring entanglement entropy in a quantum many-body system,” Nature 528
2015
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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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2017
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2017
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Fabien Alet and Nicolas Laflorencie, “Many-body localization: An introduction and selected topics,” C. R. Phys. 19
2018
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Henrik P. Lüschen, Sebastian Scherg, Thomas Kohlert, Michael Schreiber, Pranjal Bordia, Xiao Li, S. Das Sarma, and Immanuel Bloch, “Single-particle mobility edge in a one-dimensional quasiperiodic optical lattice,” Phys. Rev. Lett. 120
2018
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Thimothée Thiery, François Huveneers, Markus Müller, and Wojciech De Roeck, “Many-body delocalization as a quantum avalanche,” Phys. Rev. Lett. 121
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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Simon A. Weidinger, Sarang Gopalakrishnan, and Michael Knap, “Self-consistent Hartree-Fock approach to many-body localization,” Phys. Rev. B 98
2018
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Shi-Xin Zhang and Hong Yao, “Universal properties of many-body localization transitions in quasiperiodic systems,” Phys. Rev. Lett. 121
2018
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Marko Žnidarič and Marko Ljubotina, “Interaction instability of localization in quasiperiodic systems,” Proc. Natl. Acad. Sci. USA 115
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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Jan Major, Giovanna Morigi, and Jakub Zakrzewski, “Single-particle localization in dynamical potentials,” Phys. Rev. A 98
2018
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Francesca Pietracaprina, Nicolas Macé, David J. Luitz, and Fabien Alet, “Shift-invert diagonalization of large many-body localizing spin chains,” SciPost Phys. 5
2018
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G. Pagano, P. W. Hess, H. B. Kaplan, W. L. Tan, P. Richerme, P. Becker, A. Kyprianidis, J. Zhang, E. Birckelbaw, M. R. Hernandez, Y. Wu, and C. Monroe, “Cryogenic trapped-ion system for large scale quantum simulation,” Quantum Sci. Technol. 4
2018
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Daniel Jaschke, Michael L. Wall, and Lincoln D. Carr, “Open source matrix product states: Opening ways to simulate entangled many-body quantum systems in one dimension,” Comput. Phys. Commun. 225
2018
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Philipp T. Dumitrescu, Anna Goremykina, Siddharth A. Parameswaran, Maksym Serbyn, and Romain Vasseur, “Kosterlitz-Thouless scaling at many-body localization phase transitions,” Phys. Rev. B 99
2019
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Shimpei Goto and Ippei Danshita, “Performance of the time-dependent variational principle for matrix product states in the long-time evolution of a pure state,” Phys. Rev. B 99
2019
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Nicolas Macé, Nicolas Laflorencie, and Fabien Alet, “Many-body localization in a quasiperiodic Fibonacci chain,” SciPost Phys. 6
2019
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