Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
Freie Universität Berlin · Max Planck Institute of Quantum Optics · +1 more institution
Abstract
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…
Citation impact
- FWCI
- 78.78
- Percentile
- 100%
- References
- 454
Authors
2Topics & keywords
- Physics
- Statistical mechanics
- Thermalisation
- Quantum entanglement
- Statistical physics
- Quantum
- Quantum statistical mechanics
- Entropy (arrow of time)