期刊
REPORTS ON PROGRESS IN PHYSICS
卷 79, 期 5, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/0034-4885/79/5/056001
关键词
equilibration; thermalization; localization
资金
- EU (RAQUEL)
- EU (SIQS)
- EU (AQuS)
- ERC (TAQ)
- ERC (OSYRIS)
- BMBF
- Studienstiftung des Deutschen Volkes
- MPQ-ICFO
- Spanish Ministry Project FOQUS [FIS2013-46768-P]
- Generalitat de Catalunya (SGR) [874, 875]
- Spanish MINECO (Severo Ochoa) [SEV-2015-0522]
- Fundacio Privada Cellex
- EU's Marie Sklodowska-Curie IF program [GA: 700140]
- COST Action [MP1209]
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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