Brody exponent β is calibrated for 2D spatial point processes with a corrected CSR baseline of 0.96±0.15 and validated β–r_excl correlation of ρ=0.988, supported by controls on primes and manufactured surfaces.
St ¨ockmann,Quantum Chaos: An Introduction, Cambridge University Press, Cambridge (1999), 10.1017/CBO9780511524622
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The paper reviews spectral properties of operators for open quantum evolution and recent theoretical and experimental work on distinguishing chaotic from integrable dissipative quantum systems.
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
Didactic derivation of Gutzwiller's trace formula from the path integral, with overview of its use in explaining random matrix theory statistics for quantum energy levels.
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