Rare‐region effects and dynamics near the many‐body localization transition
By Kartiek Agarwal, E. Altman, E. Demler, S. Gopalakrishnan, D. Huse, Michael Jason Knap. 2016
184 citations recorded by the source corpus.
The low‐frequency response of systems near the many‐body localization phase transition, on either side of the transition, is dominated by contributions from rare regions that are locally “in the other phase”, i.e., rare localized regions in a system that is typically thermal, or rare thermal regions in a system that is typically localized. Rare localized regions affect the properties of the thermal phase, especially in one dimension, by acting as bottlenecks for transport and the growth of entanglement, whereas rare thermal regions in the localized phase act as local “baths” and dominate the low‐frequency response of the MBL phase. We review recent progress in understanding these rare‐region effects, and discuss some of the open questions associated with them: in particular, whether and in what circumstances a single rare thermal region can destabilize the many‐body localized phase.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/1a6a442cecc7485f9c8c3767f683928abeb50018
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In Atomic and Molecular Physics, and Optics
- Michael Jason Knap
- S. Gopalakrishnan
- I. Bloch
- U. Schneider
- P. Bordia
- Laurent Sanchez-Palencia
- L. Tarruell
- V. Khemani
Citations in the corpus
- Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasiperiodic Systems (2017, background): “While this Ansatz results in a power-law relaxation in one-dimension [23], in two dimensions, d = 2, it results”
- Many-body localization: An introduction and selected topics (2017, unknown): “Showing that the localization observed in experiments is indubitably MBL would be very compelling At the theoretical level, the difference between an Anderson insulator and a MBL insulator is subtle but well identified: it emanates from the existence of interactions between the lioms – all terms…”