A leading-order semiclassical expansion expresses the local microcanonical OTOC scrambling rate as a sum over unstable periodic orbits on the NHIM, yielding a local instability exponent Λ(J) valid before the Ehrenfest time.
Out-of-time-order correlators in quantum mechanics,
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A Periodic Orbit Trace Formula for Quantum Scrambling: The Role of the Normally Hyperbolic Invariant Manifold
A leading-order semiclassical expansion expresses the local microcanonical OTOC scrambling rate as a sum over unstable periodic orbits on the NHIM, yielding a local instability exponent Λ(J) valid before the Ehrenfest time.