Ensemble-averaged quantum metric tensors of random matrix models show finite geodesic distance to the chaotic phase and a 1/r divergence of fidelity susceptibility near integrability.
Quantum chaos and level dynamics
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We review application of level dynamics to spectra of quantally chaotic systems. We show that statistical mechanics approach gives us predictions about level statistics intermediate between integrable and chaotic dynamics. Then we discuss in detail different statistical measures involving level dynamics such as level avoided-crossing distributions, slope and curvature of level distributions showing both the postulate of unversality and its limitations. We mention shortly the experimental confirmations of these theories. We concentrate in some detail on measures imported from quantum information approach such as the fidelity susceptibility and more generally geometric tensor matrix elements. The possible open problems are suggested.
citation-role summary
background 1
citation-polarity summary
fields
quant-ph 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Geometry of quantum states and chaos-integrability transition
Ensemble-averaged quantum metric tensors of random matrix models show finite geodesic distance to the chaotic phase and a 1/r divergence of fidelity susceptibility near integrability.