The DOI matches its Crossref record; 63 of the 63 references it cites were found in a registry or an index.
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
Open accessAbstract
We review some recent developments in the statistical mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-eigenstate statistical mechanics. We then focus on a class of systems that fail to quantum thermalize and whose eigenstates violate the ETH: These are the many-body Anderson-localized systems; their long-time properties are not captured by the conventional ensembles of quantum statistical mechanics. These systems can forever locally remember information about their local initial conditions and are thus of interest for possibilities of storing quantum information. We discuss key features of many-body localization (MBL) and review a phenomenology of the MBL phase. Single-eigenstate statistical mechanics within the MBL phase reveal dynamically stable ordered phases, and phase transitions among them, that are invisible to equilibrium statistical mechanics and can occur at high energy and low spatial dimensionality, where equilibrium ordering is forbidden.
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Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Chaos and quantum thermalization
Srednicki, M. (1994) · Physical Review E · doi:10.1103/physreve.50.888 · Cited by 3,175
Thermalization and its mechanism for generic isolated quantum systems
Rigol, M., Dunjko, V., & Olshanii, M. (2008) · Nature · doi:10.1038/nature06838 · Cited by 3,065
Quantum statistical mechanics in a closed system
Deutsch, J. M. (1991) · Physical Review A · doi:10.1103/physreva.43.2046 · Cited by 2,860
Colloquium: Nonequilibrium dynamics of closed interacting quantum systems
Polkovnikov, A., Sengupta, K., Silva, A., & Vengalattore, M. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.863 · Cited by 2,562
Quantum simulations with ultracold quantum gases
Bloch, I., Dalibard, J., & Nascimbène, S. (2012) · Nature Physics · doi:10.1038/nphys2259 · Cited by 2,339
Evers, F., & Mirlin, A. D. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1355 · Cited by 2,092
Basko, D. M., Aleiner, I. L., & Altshuler, B. L. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.11.014 · Cited by 2,015
Localization of interacting fermions at high temperature
Oganesyan, V., & Huse, D. A. (2007) · Physical Review B · doi:10.1103/physrevb.75.155111 · Cited by 1,833
Self-citationQuantum simulations with trapped ions
Blatt, R., & Roos, C. F. (2012) · Nature Physics · doi:10.1038/nphys2252 · Cited by 1,629
Cited by
Quantum simulations with ultracold atoms in optical lattices
Gross, C., & Bloch, I. (2017) · Science · doi:10.1126/science.aal3837 · Cited by 1,527
Quantum many-body systems out of equilibrium
Eisert, J., Friesdorf, M., & Gogolin, C. (2015) · Nature Physics · doi:10.1038/nphys3215 · Cited by 1,255
Predicting many properties of a quantum system from very few measurements
Huang, H.-Y., Kueng, R., & Preskill, J. (2020) · Nature Physics · doi:10.1038/s41567-020-0932-7 · Cited by 1,240
Exploring the many-body localization transition in two dimensions
Choi, J.-Y., Hild, S., Zeiher, J., Schauß, P., Rubio-Abadal, A., Yefsah, T., Khemani, V., Huse, D. A., Bloch, I., & Gross, C. (2016) · Science · doi:10.1126/science.aaf8834 · Cited by 979
Self-citationMany-body localization in a quantum simulator with programmable random disorder
Smith, J., Lee, A., Richerme, P., Neyenhuis, B., Hess, P. W., Hauke, P., Heyl, M., Huse, D. A., & Monroe, C. (2016) · Nature Physics · doi:10.1038/nphys3783 · Cited by 915
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Metadata
- Authors
- Nandkishore, R., & Huse, D. A.
- Venue
- Annual Review of Condensed Matter Physics
- Publisher
- Annual Reviews
- Published
- 2015-03-01
- Volume
- 6
- Issue
- 1
- Pages
- 15-38
- ISSN
- 1947-5454 (ISSN-L)
- 1947-5462
- OpenAlex
- W2137084802
- Cited by
- 2,376
- References
- 63
- FWCI
- 9.03
- Type
- journal article
- Language
- en
- Open access
- hybrid
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- Nandkishore, R., & Huse, D. A. (2015). Many-Body Localization and Thermalization in Quantum Statistical Mechanics. Annual Review of Condensed Matter Physics. https://doi.org/10.1146/annurev-conmatphys-031214-014726
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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