Quantum bound to chaos and the semiclassical limit

DOI10.1007/s10955-018-2052-7zbMath1394.81132arXiv1612.01278OpenAlexW2560572549WikidataQ129848550 ScholiaQ129848550MaRDI QIDQ723361

Jorge Kurchan

Publication date: 31 July 2018

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01278

zbMATH Keywords

chaossemiclassicalLoschmidt echoquantum bounds

Mathematics Subject Classification ID

Quantum chaos (81Q50) Transport processes in time-dependent statistical mechanics (82C70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (6)

Exact universal chaos, speed limit, acceleration, Planckian transport coefficient, ``collapse to equilibrium, and other bounds in thermal quantum systems ⋮ Spectral form factor as an OTOC averaged over the Heisenberg group ⋮ Out-of-time-order operators and the butterfly effect ⋮ BMS Goldstone modes near the horizon of a Kerr black hole are thermal ⋮ Regularization dependence of the OTOC. Which Lyapunov spectrum is the physical one? ⋮ Semiclassical roots of universality in many-body quantum chaos

Cites Work

• Black holes and the butterfly effect
• The spectrum in the Sachdev-Ye-Kitaev model
• A bound on chaos
• Butterflies from information metric
• Distribution of characteristic exponents in the thermodynamic limit
• Statistical-mechanical formulation of Lyapunov exponents

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