Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
C. Gogolin, J. Eisert
备注：
114 pages, 6 figures, 429 references, version as published with minor typos corrected, updated funding sources in acknowledgements to those of the published version to fulfill requirements of Marie Sklodowska-Curie grant
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.
Average Equilibration Time for Gaussian Unitary Ensemble Hamiltonians
University of Malta（马耳他大学）；Technische Universität Wien（维也纳工业大学）；Trinity College Dublin（都柏林三一学院）；Università degli Studi di Palermo（巴勒莫大学）；Austrian Academy of Sciences（奥地利科学院）
Quantum measurements and equilibration: the emergence of objective outcomes via entropy maximisation
University of Malta（马耳他大学）；School of Physics, Trinity College Dublin（都柏林三一学院物理学院）；Institute for Quantum Optics and Quantum Information - IQOQI Vienna, Austrian Academy of Sciences（奥地利科学院维也纳量子光学与量子信息研究所）
Equilibration of objective observables in a dynamical model of quantum measurements
University of Bristol（布里斯托大学）；Heriot-Watt University（赫瑞瓦特大学）；Technische Universität Wien（维也纳工业大学）；Atominstitut, Technische Universität Wien（维也纳工业大学原子研究所）；Institute for Quantum Optics and Quantum Information—IQOQI Vienna, Austrian Academy of Sciences（奥地利科学院维也纳量子光学与量子信息研究所）
Universidade Federal Fluminense（弗鲁米嫩塞联邦大学）；Universidade Estadual de Santa Cruz（圣克鲁斯州立大学）；Universidade Tecnológica Federal do Paraná（巴拉那联邦技术大学）；Universidade de Pernambuco（巴西物理研究中心）；Centro Brasileiro de Pesquisas Físicas
