Remarks on the notion of quantum integrability
By J. Caux, J. Mossel. 2010
223 citations recorded by the source corpus.
We discuss the notion of integrability in quantum mechanics. Starting from a review of some definitions commonly used in the literature, we propose a different set of criteria, leading to a classification of models in terms of different integrability classes. We end by highlighting some of the expected physical properties associated with models fulfilling the proposed criteria.
Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/e522f0f680c9ad766c1d7f001e2929c344d25528
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In Atomic and Molecular Physics, and Optics
- Alessandro Silva
- M. Vengalattore
- K. Sengupta
- R. Verresen
- Frank Pollmann
- N. Tsuji
- M. Kollar
- Martin Eckstein
In Geometry and Topology
In Numerical Analysis
Citations in the corpus
- Statistical localization: From strong fragmentation to strong edge modes (2019, background): “A way to gain insight into this question is by considering Mazur’s inequality [74–76], which provides a lower bound on the time-averaged autocorrelation of an observable based on its overlap with the conserved quantities.”
- Ergodicity Breaking Arising from Hilbert Space Fragmentation in Dipole-Conserving Hamiltonians (2019, background): “[87] Jean-Sébastien Caux and Jorn Mossel, “Remarks on the notion of quantum integrability,” Journal of Statistical Mechanics: Theory and Experiment 2011, 02023 (2011), arXiv:1012.”
- Nonequilibrium dynamical mean-field theory and its applications (2013, background): “(Possible criteria for defining integrability in quantum systems have been discussed in Caux and Mossel, 2011.)”
- Colloquium: Nonequilibrium dynamics of closed interacting quantum systems (2010, background): “(Caux and Mossel, 2011) for a more detailed discussion), i.e. scattering is purely elastic and there is no production of particles or dissipation associated to it (Mussardo, 2009; Sutherland, 2004).”