Many-Body Localization and Thermalization in Quantum Statistical Mechanics
By R. Nandkishore, D. Huse. 2014
2,320 citations recorded by the source corpus.
We review some recent developments in the statistical mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-eigenstate statistical mechanics. We then focus on a class of systems that fail to quantum thermalize and whose eigenstates violate the ETH: These are the many-body Anderson-localized systems; their long-time properties are not captured by the conventional ensembles of quantum statistical mechanics. These systems can forever locally remember information about their local initial conditions and are thus of interest for possibilities of storing quantum information. We discuss key features of many-body localization (MBL) and review a phenomenology of the MBL phase. Single-eigenstate statistical mechanics within the MBL phase reveal dynamically stable ordered phases, and phase transitions among them, that are invisible to equilibrium statistical mechanics and...
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/1c91b84328baaa5b39fcf96214488ee5d694733f
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Citations in the corpus
- Quantum transport in ultracold atoms (2015, background): “demonstrated experimentally using ultracold gases [158–160], it has been predicted that interacting bosons in a disordered lattice may form interesting phases such as the Bose glass [161] or a many-body localized phase [162].”
- Colloquium : Many-body localization, thermalization, and entanglement (2018, background): “Since the main focus of this review is on MBL, our discussion of thermalization will inevitably be brief; 5 a more complete overview can be found in the original papers (Deutsch, 1991; Srednicki, 1994, 1999) and reviews (D’Alessio et al., 2016; Nandkishore and Huse, 2015).”
- Measurement-driven entanglement transition in hybrid quantum circuits (2019, background): “But is thermalization inevitable? Are there systems in which the thermalization of entanglement entropy is avoidable? One example is many-body localization [8, 9], in which entanglement growth is suppressed by strong quenched disorder.”
- Toward the first quantum simulation with quantum speedup (2017, methodology): “This Hamiltonian has been studied as a model of self-thermalization and many-body localization [54, 58, 59], where the most extensive numerical study we are aware of was restricted to at most 22 spins [54].”