The ergodic side of the many‐body localization transition
By D. J. Luitz, Yevgeny Bar Lev. 2016
265 citations recorded by the source corpus.
Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐body localization (MBL), which shows subexponential relaxation of local observables, subdiffusive transport and sublinear spreading of the entanglement entropy. Here we review the dynamical properties of this phase and the available numerically exact and approximate methods for its study. We discuss in which sense this phase could be considered ergodic and present possible phenomenological explanations of its dynamical properties. We close by analyzing to which extent the proposed explanations were verified by numerical studies and present the open questions in this field.
Subfields: Atomic and Molecular Physics, and Optics, Cognitive Neuroscience, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/ed7e6333ef975b9669fff302578e1521a407ed31
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In Atomic and Molecular Physics, and Optics
- A. Mirlin
- D. Polyakov
- F. Schindler
- K. Tikhonov
- Titus Neupert
- I. Gornyi
- Elmer V. H. Doggen
- N. M. R. Peres
In Statistical and Nonlinear Physics
Citations in the corpus
- Many-body localization and delocalization in large quantum chains (2018, background): “a quantity that measures how much of the initial antiferromagnetic order remains at time t [49].”