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A bound on chaos

Canonical reference. 93% of citing Pith papers cite this work as background.

54 Pith papers citing it
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abstract

We conjecture a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom. Chaos can be diagnosed using an out-of-time-order correlation function closely related to the commutator of operators separated in time. We conjecture that the influence of chaos on this correlator can develop no faster than exponentially, with Lyapunov exponent $\lambda_L \le 2 \pi k_B T/\hbar$. We give a precise mathematical argument, based on plausible physical assumptions, establishing this conjecture.

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q-Askey Deformations of Double-Scaled SYK

hep-th · 2026-05-13 · unverdicted · novelty 7.0 · 2 refs

q-Askey deformations of DSSYK produce transfer matrices from basic orthogonal polynomials whose chord numbers map to ER bridge lengths and signal geometric transitions with discrete spectra in sine dilaton gravity.

Quantum scars from holographic boson stars

hep-th · 2026-05-04 · unverdicted · novelty 7.0 · 2 refs

Mini-boson stars in AdS spacetime are proposed as holographic realizations of quantum scars, exhibiting chaotic spectra with integrable subsectors, anomalously low entanglement, and robust Krylov complexity revivals.

Black Holes and Random Variables

hep-th · 2026-07-02 · unverdicted · novelty 6.0

Formulates an avatar of the Fyodorov-Hiary-Keating conjecture for black hole microstate counts, implying sharp bounds on CFT primary operator interval counts and suggesting that AdS spectra exhibit extreme value statistics of Gaussian log-correlated random matrices.

Pseudorandom Dynamics in the SYK Model and Cryptographic Censorship in JT Gravity

hep-th · 2026-05-24 · unverdicted · novelty 6.0

SYK disorder is shown to be an approximate unitary k-design for poly(N) k; under the planted-SYK hardness conjecture this yields gravitationally pseudorandom unitaries, implying cryptographic censorship in JT gravity with the regularized maximal geodesic length as distinguisher.

Scale-Invariant Open Quantum Systems

hep-ph · 2026-05-21 · unverdicted · novelty 6.0

Scale-invariant open quantum systems are universally described by unparticle baths with scaling dimension d_U, producing non-Markovian kernels, a fractional Caldeira-Leggett master equation, and phase transitions at d_U = 3/2, 2, and 5/2.

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