Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems.

摘要: We review selected advances in the theoretical understanding of complex quantum many-body systems with regard to emergent notions statistical mechanics. cover topics such as equilibration and thermalisation pure state mechanics, eigenstate hypothesis, equivalence ensembles, non-equilibration dynamics following global local quenches well ramps. also address initial independence, absence thermalisation, localisation. elucidate role played by key concepts for these phenomena, Lieb-Robinson bounds, entanglement growth, typicality arguments, maximum entropy principles generalised Gibbs (non-)integrability. put emphasis on rigorous approaches present most important results a unified language.