The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Ergodicity breaking in a model showing many-body localization
Open accessAbstract
We study the breaking of ergodicity measured in terms of return probability in the evolution of a quantum state of a spin chain. In the non-ergodic phase a quantum state evolves in a much smaller fraction of the Hilbert space than would be allowed by the conservation of extensive observables. By the anomalous scaling of the participation ratios with system size we are led to consider the distribution of the wave function coefficients, a standard observable in modern studies of Anderson localization. We finally present a criterion for the identification of the ergodicity-breaking (many-body localization) transition based on these distributions which is quite robust and well suited for numerical investigations of a broad class of problems.
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Cites
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Pal, A., & Huse, D. A. (2010) · Physical Review B · doi:10.1103/physrevb.82.174411 · Cited by 1,495
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Many-body localization in the HeisenbergXXZmagnet in a random field
Žnidarič, M., Prosen, T., & Prelovšek, P. (2008) · Physical Review B · doi:10.1103/physrevb.77.064426 · Cited by 955
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Cited by
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
Nandkishore, R., & Huse, D. A. (2015) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031214-014726 · Cited by 2,376
Local Conservation Laws and the Structure of the Many-Body Localized States
Serbyn, M., Papić, Z., & Abanin, D. A. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.127201 · Cited by 927
Quantum entanglement in condensed matter systems
Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
Many-body localization: An introduction and selected topics
Alet, F., & Laflorencie, N. (2018) · Comptes Rendus. Physique · doi:10.1016/j.crhy.2018.03.003 · Cited by 640
Constructing local integrals of motion in the many-body localized phase
Chandran, A., Kim, I. H., Vidal, G., & Abanin, D. A. (2015) · Physical Review B · doi:10.1103/physrevb.91.085425 · Cited by 302
Metadata
- Authors
- De Luca, A., & Scardicchio, A.
- Venue
- EPL (Europhysics Letters)
- Publisher
- IOP Publishing
- Published
- 2013-02-01
- Volume
- 101
- Issue
- 3
- Pages
- 37003
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W1980112562
- Cited by
- 272
- References
- 19
- FWCI
- 12.34
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.