The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
Open accessAbstract
We review selected advances in the theoretical understanding of complex quantum many-body systems with regard to emergent notions of quantum statistical mechanics. We cover topics such as equilibration and thermalisation in pure state statistical mechanics, the eigenstate thermalisation hypothesis, the equivalence of ensembles, non-equilibration dynamics following global and local quenches as well as ramps. We also address initial state independence, absence of thermalisation, and many-body localisation. We elucidate the role played by key concepts for these phenomena, such as Lieb-Robinson bounds, entanglement growth, typicality arguments, quantum maximum entropy principles and the generalised Gibbs ensembles, and quantum (non-)integrability. We put emphasis on rigorous approaches and present the most important results in a unified language.
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Cites
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Quench dynamics and relaxation in isolated integrable quantum spin chains
Essler, F. H. L., & Fagotti, M. (2016) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2016/06/064002 · Cited by 668
Quantum computing with neutral atoms
Henriet, L., Beguin, L., Signoles, A., Lahaye, T., Browaeys, A., Reymond, G.-O., & Jurczak, C. (2020) · Quantum · doi:10.22331/q-2020-09-21-327 · Cited by 550
Introduction to ‘Quantum Integrability in Out of Equilibrium Systems’
Calabrese, P., Essler, F. H. L., & Mussardo, G. (2016) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2016/06/064001 · Cited by 361
The ergodic side of the many‐body localization transition
Luitz, D. J., & Lev, Y. B. (2017) · Annalen der Physik · doi:10.1002/andp.201600350 · Cited by 308
Random statistics of OPE coefficients and Euclidean wormholes
Belin, A., & de Boer, J. (2021) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ac1082 · Cited by 131
Metadata
- Authors
- Gogolin, C., & Eisert, J.
- Venue
- Reports on Progress in Physics
- Publisher
- IOP Publishing
- Published
- 2016-04-18
- Volume
- 79
- Issue
- 5
- Pages
- 056001
- ISSN
- 0034-4885 (ISSN-L)
- 1361-6633
- OpenAlex
- W1759597146
- Cited by
- 999
- References
- 28
- FWCI
- 56.83
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Gogolin, C., & Eisert, J. (2016). Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems. Reports on Progress in Physics. https://doi.org/10.1088/0034-4885/79/5/056001
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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