JT gravity in a box is quantized exactly by recasting its dynamics as Pöschl-Teller scattering, producing closed-form wavefunctions and correlators with finite-cutoff corrections beyond T Tbar.
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A bound on chaos
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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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Bootstrap on Mellin amplitudes computes the first stringy correction to the five-point 20' correlator in N=4 SYM up to one undetermined coefficient, with flat-space limit checks and byproduct four-point results.
A randomized quench protocol enables the first fully analog measurement of infinite-temperature OTOCs on Rydberg atom arrays, revealing information propagation lightcones.
Develops a constrained particle-on-group formulation of super-JT gravity that yields super-Schwarzian actions, physical supercharges, and explicit N=2/N=4 three-point functions plus zero-energy OTOCs.
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.
LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.
Tensor network simulations of the Ising model on hyperbolic lattices with coordination number 7 reveal power-law boundary spin correlations in the disordered phase and logarithmic boundary entanglement entropy at criticality, consistent with holography.
Modular flow in SYK models coupled to a bath reveals singularities allowing reconstruction of bulk flow past the horizon in two-sided AdS2 black holes.
The free particle, harmonic oscillator, and inverted oscillator are unified as parabolic, elliptic, and hyperbolic realizations of the same conformal module, with explicit mappings between their states, coherent states, and scattering data via metaplectic rotations and Mellin transforms.
Fractional operator powers generate non-positivity constraints that determine the SYK bilinear spectrum and converge to exact eigenvalues under truncation.
In open quantum systems, environmental coupling turns deterministic Krylov phase-space trajectories into stochastic ones by adding diffusion, destroying the hyperbolic mechanism for exponential complexity growth beyond a controlled scale.
Pole-skipping data encodes enough information to reconstruct the full metric of 3D rotating black holes and the radial functions of 4D separable rotating black holes, with Einstein equations becoming algebraic constraints on that data.
Unitary designs emerge from the temporal ensemble of two chaotic Hamiltonian evolutions separated by a random Pauli operation, based on the universal Pauli spectrum.
The large-N SYK thermal two-point function exhibits complex-time singularities—an effective-temperature pole and a subleading bouncing-geodesic-like singularity—that persist from infinite to zero temperature.
High-energy CFT and black-hole interval counts are conjectured to obey the FHK extreme-value law; the resulting O(1) erratic fluctuations limit semiclassical AdS precision to e^{-S0}.
Krylov complexity grows quadratically in pure Lifshitz backgrounds and its late-time exponent is controlled by the hyperscaling violation parameter, with a special oscillatory regime.
Orbifolds of N=4 SYM produce SCFTs whose dilatation operator in a subsector is realized by a tunable spin chain whose eigenvalue statistics exhibit chaos for specific marginal couplings.
Finite-temperature quasinormal modes in SYK connect infinite-T Christmas-tree spectra to JT gravity and show monotonic relaxation-rate growth only at strong coupling.
Five-loop perturbative computation of DSSYK Krylov complexity equaling wormhole length in sine-dilaton gravity, with cumulants and all-order large-time resummation.
Photon rings around black holes saturate the quantum chaos bound via Lyapunov exponents of null geodesics and OTOCs in the near-ring region.
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 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.
Numerical analysis shows that spectral statistics of a BPS-projected operator in an interpolating N=2 SYK model transition from random-matrix to Poisson behavior as the model moves from chaotic to integrable.
Exact Krylov correlators in sl(2,R) models are proportional to radial momenta in BTZ black holes, extending the complexity-momentum correspondence to include fluctuations.
citing papers explorer
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Quantum JT Gravity in a box as a P\"oschl-Teller Scattering Problem
JT gravity in a box is quantized exactly by recasting its dynamics as Pöschl-Teller scattering, producing closed-form wavefunctions and correlators with finite-cutoff corrections beyond T Tbar.
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$20'$ Five-Point Function of $\mathcal{N}=4$ SYM and Stringy Corrections
Bootstrap on Mellin amplitudes computes the first stringy correction to the five-point 20' correlator in N=4 SYM up to one undetermined coefficient, with flat-space limit checks and byproduct four-point results.
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Information Propagation in Rydberg Arrays via Analog OTOC Calculations
A randomized quench protocol enables the first fully analog measurement of infinite-temperature OTOCs on Rydberg atom arrays, revealing information propagation lightcones.
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Constrained particle on a group: from propagators to correlators
Develops a constrained particle-on-group formulation of super-JT gravity that yields super-Schwarzian actions, physical supercharges, and explicit N=2/N=4 three-point functions plus zero-energy OTOCs.
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Quantum scars from holographic boson stars
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.
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Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas
LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.
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Quantum Ising Model on $(2+1)-$Dimensional Anti$-$de Sitter Space using Tensor Networks
Tensor network simulations of the Ising model on hyperbolic lattices with coordination number 7 reveal power-law boundary spin correlations in the disordered phase and logarithmic boundary entanglement entropy at criticality, consistent with holography.
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Probing Evaporating Black Holes with Modular Flow in SYK
Modular flow in SYK models coupled to a bath reveals singularities allowing reconstruction of bulk flow past the horizon in two-sided AdS2 black holes.
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The Free Particle--Oscillator--Inverted Oscillator Triangle: Conformal Bridges, Metaplectic Rotations and $\mathfrak{osp}(1|2)$ Structure
The free particle, harmonic oscillator, and inverted oscillator are unified as parabolic, elliptic, and hyperbolic realizations of the same conformal module, with explicit mappings between their states, coherent states, and scattering data via metaplectic rotations and Mellin transforms.
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Quantum mechanical bootstrap without inequalities: SYK bilinear spectrum
Fractional operator powers generate non-positivity constraints that determine the SYK bilinear spectrum and converge to exact eigenvalues under truncation.
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Stochastic Krylov Dynamics: Revisiting Operator Growth in Open Quantum Systems
In open quantum systems, environmental coupling turns deterministic Krylov phase-space trajectories into stochastic ones by adding diffusion, destroying the hyperbolic mechanism for exponential complexity growth beyond a controlled scale.
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Probing bulk geometry via pole skipping: from static to rotating spacetimes
Pole-skipping data encodes enough information to reconstruct the full metric of 3D rotating black holes and the radial functions of 4D separable rotating black holes, with Einstein equations becoming algebraic constraints on that data.
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Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation
Unitary designs emerge from the temporal ensemble of two chaotic Hamiltonian evolutions separated by a random Pauli operation, based on the universal Pauli spectrum.
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Thermal two-point functions in SYK and complex-time singularities
The large-N SYK thermal two-point function exhibits complex-time singularities—an effective-temperature pole and a subleading bouncing-geodesic-like singularity—that persist from infinite to zero temperature.
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Black Holes and Random Variables
High-energy CFT and black-hole interval counts are conjectured to obey the FHK extreme-value law; the resulting O(1) erratic fluctuations limit semiclassical AdS precision to e^{-S0}.
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Holographic Krylov Complexity with Lifshitz Scaling and Hyperscaling Violation
Krylov complexity grows quadratically in pure Lifshitz backgrounds and its late-time exponent is controlled by the hyperscaling violation parameter, with a special oscillatory regime.
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Controlled Chaos in 4D SCFTs
Orbifolds of N=4 SYM produce SCFTs whose dilatation operator in a subsector is realized by a tunable spin chain whose eigenvalue statistics exhibit chaos for specific marginal couplings.
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On the temperature dependence of quasinormal modes in SYK and holography
Finite-temperature quasinormal modes in SYK connect infinite-T Christmas-tree spectra to JT gravity and show monotonic relaxation-rate growth only at strong coupling.
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Higher-loop wormhole length in sine-dilaton gravity from DSSYK Krylov complexity
Five-loop perturbative computation of DSSYK Krylov complexity equaling wormhole length in sine-dilaton gravity, with cumulants and all-order large-time resummation.
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Black Hole Photon Rings Saturate the Quantum Chaos Bound
Photon rings around black holes saturate the quantum chaos bound via Lyapunov exponents of null geodesics and OTOCs in the near-ring region.
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Pseudorandom Dynamics in the SYK Model and Cryptographic Censorship in JT Gravity
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.
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Scale-Invariant Open Quantum Systems
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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Chaos-Integrability Transition in the BPS Subspace of the $\mathcal{N}=2$ SYK Model
Numerical analysis shows that spectral statistics of a BPS-projected operator in an interpolating N=2 SYK model transition from random-matrix to Poisson behavior as the model moves from chaotic to integrable.
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Krylov Correlators in $\mathfrak{sl}(2,\mathbb R)$ Models: Exact Results and Holographic Complexity
Exact Krylov correlators in sl(2,R) models are proportional to radial momenta in BTZ black holes, extending the complexity-momentum correspondence to include fluctuations.
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No chaos required: traversable wormhole signals survive 98% coupling deletion
The traversable wormhole transmission signal in coupled SYK models persists with less than 1.1% variation after 98% random coupling deletion, showing it is controlled by inter-system coupling alone.
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Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$
In TTbar-deformed anomalous CFT2 the chaos bound stays saturated while butterfly velocity depends nontrivially on deformation strength and anomaly, with a Hagedorn regime where the chaotic response turns complex.
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Spectral Form Factor of Gapped Random Matrix Systems
In gapped random matrix systems with parametrically many degenerate ground states, the spectral form factor at low temperatures is dominated by the disconnected contribution at all times, while the connected form factor depends only on the non-degenerate eigenvalues.
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The Maximal Entanglement Limit in Statistical and High Energy Physics
Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.
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Searching for emergent spacetime in spin glasses
Spectral functions of SYK, p-spin, and SU(M) Heisenberg models show exponential tails in spin-glass phases and quasiparticle families in spin-liquid phases, with a proof that exponential decay blocks detection of bulk causal structure.
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Bootstrapping transport in the Drude-Kadanoff-Martin model
Derives lower bound on collective mean free path ℓ = √(τ D) in Drude-Kadanoff-Martin model from Green's function bounds, implying Mott-Ioffe-Regel limit for lattice models.
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Entanglement spreading and emergent locality in Brownian SYK chains
In a Brownian SYK chain at strong coupling, information from an injected qudit spreads inside a sharp light-cone at the butterfly velocity because the governing dynamics reduce to FKPP domain walls.
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Random matrix theory signatures in free field theory
In finite-volume massive free scalar field theory after local quench, spacing ratios of two-point function extrema follow GOE statistics and an extrema-based form factor shows RMT dip-ramp-plateau.
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Towards a microscopic description of de Sitter dynamics
An SYK-based quantum system reproduces semiclassical correlators of quantum fields in rigid de Sitter space and non-trivial OTOC features including a doubled Lyapunov exponent.
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Einstein Rings in Holography
A formula maps QFT response functions under periodic sources to Einstein ring images of dual AdS black holes, with the ring radius set by the QFT total energy for Schwarzschild-AdS4.
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Cosmological brick walls & quantum chaotic dynamics of de Sitter horizons
Brick-wall spectra in de Sitter space show long-range chaotic signatures via spectral form factor and Krylov complexity even when conventional level repulsion is absent.
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Probing weak chaos in $\mathcal N=4$ super Yang-Mills and long-range spin chains
Finite-loop truncations of the planar dilatation operator in N=4 SYM exhibit GOE-like level statistics at large coupling for two- and four-loops (but not three), with eigenvector and Krylov diagnostics indicating weak integrability breaking and multifractality.
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Spacetime from Operator Algebras
Reconstructs spacetime metric, curvature, and Einstein equations from matter field operator algebras in the G to 0 limit without using Bekenstein-Hawking area law, then models finite-N discrete spectra via random matrix completion of enlarged type III algebras.
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BPS Non-Renormalization in the BMN Matrix Model
Conjugation deformations preserve normalizability in the BMN matrix model, implying BPS states do not lift and their unsigned number is invariant except at the free and BFSS points.
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Krylov Complexity in Periodically Driven CFTs and Critical Fermions
Arnoldi coefficients approach unity exponentially in heating phases of driven CFTs but oscillate in non-heating phases; lattice realizations show distinct spectral and graph signatures despite similar CFT Krylov growth.
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Yang-Mills Flux Tube in AdS II: Effective String Theory
Two-loop effective string theory observables for Yang-Mills flux tubes in large-radius AdS are computed via transcendentality ansatz bootstrap, with Padé resummation used to probe interpolation toward small-radius weak-coupling AdS.
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Probing the Chaos to Integrability Transition in Double-Scaled SYK
A first-order phase transition in the Berkooz-Brukner-Jia-Mamroud interpolating model causes chord number, Krylov complexity, and operator size to switch discontinuously from chaotic (linear/exponential) to quasi-integrable (quadratic) growth.
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OTOC and Quamtum Chaos of Interacting Scalar Fields
Discretized λφ⁴ theory yields thermal OTOC with exponential growth and Lyapunov exponent scaling as T^{1/4}, showing quantum chaos signatures at low perturbative orders in the oscillator chain.
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Universal bound on the Lyapunov spectrum of quantum master equations
A new proof, via Lyapunov exponents, of the known universal bound Γ_max ≤ c_d Σ Γ_i for relaxation rates of quantum master equations, where c_d depends on the positivity class of the semigroup.
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Observational Tests of Regular Black Holes with Scalar Hair and their Stability
Regular black holes with phantom scalar hair are constrained by Solar System and EHT observations, with exact relations linking photon sphere Lyapunov exponent to shadow size and impact parameter.
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Complexity of Quadratic Quantum Chaos
Hard-core boson two-body models with random interactions exhibit chaotic spectral statistics, operator growth, and eigenstate properties approaching those of random matrices and the SYK model.
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Finite cutoff JT gravity: Baby universes, Matrix dual, and (Krylov) Complexity
Finite cutoff in JT gravity causes faster ERB-length saturation, deformation-dependent baby-universe emission only under Lorentzian evolution, and possible one-cut universality corrections in the matrix dual.
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Real-Time Quantum Dynamics on the Fuzzy Sphere: Chaos and Entanglement
In this fuzzy-sphere matrix model the largest Lyapunov exponent drops to zero at finite temperature, respecting the Maldacena-Shenker-Stanford bound while entanglement shows fast scrambling.
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Chaotic behaviors of particles around the black hole with an anisotropic matter immersed in a magnetic field
Exact black hole solution with anisotropic matter and magnetic field shows the matter parameter reduces local chaos (Lyapunov exponent) while the magnetic field drives qualitative shifts in global chaos (Poincaré sections).
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Holographic Brownian dynamics of a heavy particle in a boosted thermal plasma background
Holographic calculation of longitudinal and transverse diffusion coefficients for Brownian motion in a boosted AdS black brane, with verification of the fluctuation-dissipation theorem and expression of the coefficients via butterfly velocity.
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Effect of non-conformal deformation on the gapped quasi-normal modes and the holographic implications
Non-conformal deformation via Einstein-dilaton gravity increases the radius of convergence of the derivative expansion for gapped quasinormal modes of a scalar operator in the holographic dual.