A bound on chaos

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 ${\lambda }_L\le 2\pi k_{B}T/\hslash$. We give a precise mathematical argument, based on plausible physical assumptions, establishing this conjecture.

16+6 pages, 2 figures

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• Holographic Complexity of Quantum Black Holes
• Chaos in a classical limit of the Sachdev-Ye-Kitaev model
• Operator relaxation and the optimal depth of classical shadows
• Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos
• Traversable wormhole and Hawking-Page transition in coupled complex SYK models
• Comments on the Random Thirring Model
• Characterizing complexity of many-body quantum dynamics by higher-order eigenstate thermalization
• Degenerate Operators and the $1/c$ Expansion: Lorentzian Resummations, High Order Computations, and Super-Virasoro Blocks
• Simulating quantum field theory in curved spacetime with quantum many-body systems
• Holographic Einstein Ring of a Charged AdS Black Hole
• Universal Bounds on Transport in Holographic Systems with Broken Translations
• Signature of quantum chaos in operator entanglement in 2d CFTs
• Strengthening weak measurements of qubit out-of-time-order correlators
• A new class of SYK-like models with maximal chaos
• Many Body Quantum Chaos and Dual Unitarity Round-a-Face
• Many-body quantum chaos in stroboscopically-driven cold atoms
• Quantum Information Scrambling in Quantum Many-body Scarred Systems
• On operator growth and emergent Poincaré symmetries
• Quantum aspects of chaos and complexity from bouncing cosmology: A study with two-mode single field squeezed state formalism
• Towards a Finite-$N$ Hologram
• Quench, thermalization and residual entropy across a non-Fermi liquid to Fermi liquid transition
• Quantum operator growth bounds for kicked tops and semiclassical spin chains
• Spacetime and Universal Soft Modes --- Black Holes and Beyond
• Quantum chaos, pole-skipping and hydrodynamics in a holographic system with chiral anomaly
• The Reservoir Learning Power across Quantum Many-Boby Localization Transition
• Charge transport in graphene-based mesoscopic realizations of Sachdev-Ye-Kitaev models
• Why do Things Fall?
• Signature of Chaos and Delocalization in a Periodically Driven Many Body System : An Out-of-Time-Order Correlation Study
• Horizon induces instability locally and creates quantum thermality
• Black Holes and Conformal Regge Bootstrap
• Wormholes from heavy operator statistics in AdS/CFT
• Ensemble from Coarse Graining: Reconstructing the Interior of an Evaporating Black Hole
• Dynamics of Fluctuations in Quantum Simple Exclusion Processes
• Quantum scrambling and the growth of mutual information
• Near horizon local instability and quantum thermality
• Interacting bosons in a triple well: Preface of many-body quantum chaos
• On the Virasoro six-point identity block and chaos
• Random Boundary Geometry and Gravity Dual of $T\bar{T}$ Deformation
• From bulk loops to boundary large-N expansion
• Chaos and pole skipping in CFT${}_2$
• Isospectral twirling and quantum chaos
• Krylov complexity as an order parameter for quantum chaotic-integrable transitions
• Low-rank Sachdev-Ye-Kitaev models
• Intrinsic superconducting instabilities of a solvable model for an incoherent metal
• Fast scrambling without appealing to holographic duality
• Scrambling Ability of Quantum Neural Networks Architectures
• Quantum criticality and duality in the SYK/AdS${}_2$ chain
• Many-body quantum dynamics slows down at low density
• A relation between Krylov and Nielsen complexity
• Pole skipping away from maximal chaos
• Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
• Quantum State Complexity in Computationally Tractable Quantum Circuits
• Bound on quantum scrambling with all-to-all interactions
• Random Matrix Theory of the Isospectral twirling
• Krylov construction and complexity for driven quantum systems
• Thoughts on Holographic Complexity and its Basis-dependence
• Minimal Length Effects on Chaotic Motion of Particles around Black Hole Horizon
• Resistivity bound for hydrodynamic bad metals
• Scale Anomalies, States, and Rates in Conformal Field Theory
• Chaos of Wilson Loop from String Motion near Black Hole Horizon
• Phase transition and chaos in charged SYK model
• Strong unitary and overlap uncertainty relations: theory and experiment
• Recovery of Damaged Information and the Out-of-Time-Ordered Correlators
• Chaos and entanglement spreading in a non-commutative gauge theory
• Operator growth and Krylov Complexity in Bose-Hubbard Model
• Lieb Robinson bounds and out of time order correlators in a long range spin chain
• Delocalizing Entanglement of Anisotropic Black Branes
• Dirac Fast Scramblers
• Many-body Chaos in Thermalised Fluids
• A Separation of Out-of-time-ordered Correlation and Entanglement
• Entanglement of Local Operators and the Butterfly Effect
• Non-quasiparticle transport and resistivity saturation: A view from the large-N limit
• Emergent space-time and the supersymmetric index
• Quantum Information Scrambling: From Holography to Quantum Simulators
• Dispersion Formulas in QFTs, CFTs, and Holography
• Supersymmetric SYK Model with Global Symmetry
• Constraints on Higher Spin CFT${}_2$
• Chaos and quantum scars in a coupled top model
• Signatures of Chaos in Non-integrable Models of Quantum Field Theory
• Pole skipping and chaos in anisotropic plasma: a holographic study
• Out-of-time-order fluctuation-dissipation theorem
• Coarse-grained dynamics of operator and state entanglement
• Unscrambling Quantum Information with Clifford decoders
• Measurement-induced phase transition in a classical, chaotic many-body system
• Spectral decoupling in many-body quantum chaos
• String-theoretic breakdown of effective field theory near black hole horizons
• Chaos in coupled Kerr-nonlinear parametric oscillators
• Looking for a bulk point
• Typical growth behavior of the out-of-time-ordered commutator in many-body localized systems
• Out-of-time-ordered correlators in short-range and long-range hard-core boson models and in the Luttinger-liquid model
• Thermalization and Possible Signatures of Quantum Chaos in Complex Crystalline Materials
• Krylov Complexity in Lifshitz-type Scalar Field Theories
• Finite speed of quantum information in models of interacting bosons at finite density
• On thermalization in the SYK and supersymmetric SYK models
• Deformations of the Almheiri-Polchinski model
• TASI Lectures on the Emergence of the Bulk in AdS/CFT
• The Speed of Quantum Information Spreading in Chaotic Systems
• Thermal Diffusion and Quantum Chaos in Neutral Magnetized Plasma
• Induction of chaotic fluctuations in particle dynamics in a uniformly accelerated frame
• From integrability to chaos in quantum Liouvillians
• Hierarchy of Information Scrambling, Thermalization, and Hydrodynamic Flow in Graphene
• Entanglement and chaos in warped conformal field theories
• Thermalization after holographic bilocal quench
• Alpha states demystified: Towards microscopic models of AdS${}_2$ holography
• Scrambling of Algebras in Open Quantum Systems
• The breakdown of magneto-hydrodynamics near AdS${}_2$ fixed point and energy diffusion bound
• Classical Glasses, Black Holes, and Strange Quantum Liquids
• Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains
• Stabilizer entropy in non-integrable quantum evolutions
• Quantum chaos, thermalization and entanglement generation in real-time simulations of the BFSS matrix model
• Chaos in a many-string scattering amplitude
• When things stop falling, chaos is suppressed
• Higher Spin ANEC and the Space of CFTs
• Firewalls vs. Scrambling
• Signatures of quantum chaos transition in short spin chains
• More on the New Large $D$ Limit of Matrix Models
• Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
• Chaos and pole-skipping in a simply spinning plasma
• Spectrum of End of the World Branes in Holographic BCFTs
• The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions
• $\mathcal{N}=2$ Minimal Models: A Holographic Needle in a Symmetric Orbifold Haystack
• Universal Constraints on Energy Flow and SYK Thermalization
• OTOC, complexity and entropy in bi-partite systems
• Quantum quench and thermalization of one-dimensional Fermi gas via phase space hydrodynamics
• Scattering effect on entanglement propagation in RCFTs
• Regenesis and quantum traversable wormholes
• Universality in Chaos: Lyapunov Spectrum and Random Matrix Theory
• Decoherence scaling transition in the dynamics of quantum information scrambling
• Fokker-Planck equation for black holes in thermal potential
• On the universality of AdS${}_2$ diffusion bounds and the breakdown of linearized hydrodynamics
• Information scrambling at finite temperature in local quantum systems
• Benchmarking Information Scrambling
• SYK Correlators for All Energies
• Quantum butterfly effect in polarized Floquet systems
• Strongly measuring qubit quasiprobabilities behind out-of-time-ordered correlators
• Butterflies with rotation and charge
• Interplay between the Lyapunov exponents and phase transitions of charged AdS black holes
• Homoclinic orbit and the violation of the chaos bound around a black hole with anisotropic matter fields
• Reversing Unknown Qubit-Unitary Operation, Deterministically and Exactly
• Carrollian and Non-relativistic Jackiw-Teitelboim Supergravity
• Chaos and Complexity for Inverted Harmonic Oscillators
• Nonlinear dynamics and quantum chaos of a family of kicked $p$-spin models
• Scrambling and Lyapunov Exponent in Unitary Networks with Tunable Interactions
• Complex Sachdev-Ye-Kitaev model in the double scaling limit
• Matrix product states approaches to operator spreading in ergodic quantum systems
• Randomness and Chaos in Qubit Models
• Effective dimension, level statistics, and integrability of Sachdev-Ye-Kitaev-like models
• Mixed State Entanglement for Holographic Axion Model
• Topologically induced prescrambling and dynamical detection of topological phase transitions at infinite temperature
• Universal scrambling in gapless quantum spin chains
• Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
• Full Eigenstate Thermalization via Free Cumulants in Quantum Lattice Systems
• Information loss, mixing and emergent type III${}_1$ factors
• Quantum bounds and fluctuation-dissipation relations
• Hidden conformal symmetry on the black hole photon sphere
• A Simple Worldsheet Black Hole
• On Information Loss in AdS${}_3$/CFT${}_2$
• Holographic cameras: an eye for the bulk
• SYK Superconductivity: Quantum Kuramoto and Generalized Richardson Models
• Operator growth bounds from graph theory
• On the interior geometry of a typical black hole microstate
• Out-of-Time-Ordered Crystals and Fragmentation
• Pole-skipping points in 2D gravity and SYK model
• Thermalization of many many-body interacting SYK models
• Reanalyzing an Evaporating Black Hole
• Chaos in the three-site Bose-Hubbard model -- classical vs quantum
• Universality and its limits in non-Hermitian many-body quantum chaos using the Sachdev-Ye-Kitaev model
• Thickening and sickening the SYK model
• Topological lower bound on quantum chaos by entanglement growth
• The Cosmological OTOC: Formulating new cosmological micro-canonical correlation functions for random chaotic fluctuations in Out-of-Equilibrium Quantum Statistical Field Theory
• Scrambling and quantum chaos indicators from long-time properties of operator distributions
• Spectral Form Factor as an OTOC Averaged over the Heisenberg Group
• Retrieving information from a black hole using quantum machine learning
• Correlators of double scaled SYK at one-loop
• Holographic Quantum Scars
• Toward simulating Superstring/M-theory on a quantum computer
• Out-of-time-ordered correlator in non-Hermitian quantum systems
• Scrambling and decoding the charged quantum information
• Pole-skipping of gravitational waves in the backgrounds of four-dimensional massive black holes
• Quasi-Topological Ricci Polynomial Gravities
• Supersymmetry in the nonsupersymmetric Sachdev-Ye-Kitaev model
• Thermalization and chaos in QED${}_3$
• Model-Dependence of Minimal-Twist OPEs in $d>2$ Holographic CFTs
• Barrier from chaos: operator entanglement dynamics of the reduced density matrix
• Entanglement transitions as a probe of quasiparticles and quantum thermalization
• Decay of a Thermofield-Double State in Chaotic Quantum Systems
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• Non-integrability and Chaos with Unquenched Flavor
• Chaos and Thermalization in the Spin-Boson Dicke Model
• Exploring the BTZ bulk with boundary conformal blocks
• Exact Universal Chaos, Speed Limit, Acceleration, Planckian Transport Coefficient, "Collapse" to equilibrium, and Other Bounds in Thermal Quantum Systems
• Unruh detectors and quantum chaos in JT gravity
• Statistics of phase space localization measures and quantum chaos in the kicked top model
• Finite-time Landauer principle beyond weak coupling
• Spectral form factor in a minimal bosonic model of many-body quantum chaos
• The Squeezed OTOC and Cosmology
• Detection of out-of-time-order correlators and information scrambling in cold atoms: Ladder-XX model
• Geometrizing quantum dynamics of a Bose-Einstein condensate
• Multiboundary wormholes and OPE statistics
• Two-step phantom relaxation of out-of-time-ordered correlations in random circuits
• Bekenstein-Hod Universal Bound on Information Emission Rate Is Obeyed by LIGO-Virgo Binary Black Hole Remnants
• Lattice Simulations of 10d Yang-Mills toroidally compactified to 1d, 2d and 4d
• Rotating Black Holes in AdS, Extremality and Chaos
• Chaos in CFT dual to rotating BTZ
• Sachdev-Ye-Kitaev model on a noisy quantum computer
• Chaos and random matrices in supersymmetric SYK
• The chiral SYK model
• Logarithmic spreading of out-of-time-ordered correlators without many-body localization
• Non-Lorentzian Chaos and Cosmological Holography
• Artificial Neural Network Based Computation for Out-of-Time-Ordered Correlators
• Black Hole Interior in Unitary Gauge Construction
• Quantum Circuit Complexity of Primordial Perturbations
• Dynamics of quantum information scrambling under decoherence effects measured via active spins clusters
• Weyl corrections to diffusion and chaos in holography
• A Traversable Wormhole Teleportation Protocol in the SYK Model
• Synthetic Fuzzballs: A Linear Ramp from Black Hole Normal Modes
• Non-local reparametrization action in coupled Sachdev-Ye-Kitaev models
• The tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
• Quantum Scrambling and State Dependence of the Butterfly Velocity
• Quantum Out-of-Equilibrium Cosmology
• Probing typical black hole microstates
• Non-singular black holes interiors need physics beyond the standard model
• Black holes, quantum chaos, and the Riemann hypothesis
• Many-Body Localization in a finite-range Sachdev-Ye-Kitaev model
• Emergent decoherence induced by quantum chaos in a many-body system: A Loschmidt echo observation through NMR
• AdS/CFT prescription for angle-deficit space and winding geodesics
• Permutation Orbifolds and Chaos
• Swampland Conditions for Higher Derivative Couplings from CFT
• From ETH to algebraic relaxation of OTOCs in systems with conserved quantities
• Boomerang RG flows with intermediate conformal invariance
• Krylov Complexity and Dynamical Phase Transition in the quenched LMG model
• Irreversible dynamics in quantum many-body systems
• Angular momentum and chaos bound of charged particles around Einstein-Euler-Heisenberg AdS black holes
• Rotating 5D Black Holes: Interactions and deformations near extremality
• On the replica structure of Sachdev-Ye-Kitaev model
• Scrambling versus relaxation in Fermi and non-Fermi liquids
• Optimal Frobenius light cone in spin chains with power-law interactions
• Black Hole S-matrix for a scalar field
• Conformality of $1/N$ corrections in SYK-like models
• Chaos in a $Q\bar{Q}$ system at finite temperature and baryon density
• Spectral Representation of Thermal OTO Correlators
• Out-of-Time-Order correlators in driven conformal field theories
• Entanglement entropy converges to classical entropy around periodic orbits
• Magic Resources of the Heisenberg Picture
• On Melonic Supertensor Models
• Scrambling time from local perturbations of the rotating BTZ black hole
• Arresting classical many-body chaos by kinetic constraints
• Krylov Delocalization/Localization across Ergodicity Breaking
• The bound on chaos for closed strings in Anti-de Sitter black hole backgrounds
• Chaos in the Quantum Field Theory $S$-matrix
• The Entanglement Wedge of Unknown Couplings
• Slow scrambling in extremal BTZ and microstate geometries
• Information Scrambling and Entanglement Dynamics of Complex Brownian Sachdev-Ye-Kitaev Models
• A 3d disordered superconformal fixed point
• Evolution of Entanglement Entropy in Orbifold CFTs
• Measuring out-of-time-ordered correlation functions without reversing time evolution
• Quantifying non-stabilizerness via information scrambling
• Non-perturbative dynamics of the operator size distribution in the Sachdev-Ye-Kitaev model
• From non-equilibrium Green's functions to quantum master equations for the density matrix and out-of-time-order correlators: steady state and adiabatic dynamics
• Quantum Nature of Black Holes: Fast Scrambling versus Echoes
• Collective diffusion and quantum chaos in holography
• Butterfly Velocity Bound and Reverse Isoperimetric Inequality
• Out-of-time-ordered correlators and the Loschmidt echo in the quantum kicked top: How low can we go?
• Dynamical Scaling Laws of Out-of-Time-Ordered Correlators
• Degenerate operators in JT and Liouville (super)gravity
• Holographic excited states in AdS Black Holes
• Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals
• Chaotic Motion near Black Hole and Cosmological Horizons
• Exact Embeddings of JT Gravity in Strings and M-theory
• Quantum critical scaling and holographic bound for transport coefficients near Lifshitz points
• Photon emission from an excited string
• New Properties of Large-$c$ Conformal Blocks from Recursion Relation
• Soft graviton exchange and the information paradox
• Super-exponential scrambling of Out-of-time-ordered correlators
• Quantum chaos driven by long-range waveguide-mediated interactions
• Holographic Butterfly Effect and Diffusion in Quantum Critical Region
• Maximal Chaos from Strings, Branes and Schwarzian Action
• Chaos and operator growth in 2d CFT
• Cluster State Generation with Spin-Orbit Coupled Fermionic Atoms in Optical Lattices
• Chaos of QCD string from holography
• Multifractality in quasienergy space of coherent states as a signature of quantum chaos
• Fast scrambling in holographic Einstein-Podolsky-Rosen pair
• Quantum criticality in Ising chains with random hyperuniform couplings
• Eigenstate entanglement between quantum chaotic subsystems: universal transitions and power laws in the entanglement spectrum
• Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions
• Unitary Networks from the Exact Renormalization of Wave Functionals
• Holographic Probes of Inner Horizons
• Experimental observation of time singularity in classical-to-quantum chaos transition
• Mini-BFSS in Silico
• Out-of-Time-Ordered Correlators in $(T^2{)}^n/{\mathbb{Z}}_n$
• Chaos, Diffusivity, and Spreading of Entanglement in Magnetic Branes, and the Strengthening of the Internal Interaction
• Abelian Tensor Models on the Lattice
• Unitarity breaking in self-averaging spectral form factors
• Operator front broadening in chaotic and integrable quantum chains
• Refined quantum Lyapunov exponents from replica out-of-time-order correlators
• Entanglement formation in continuous-variable random quantum networks
• Quantum chaos without false positives
• The dilaton gravity hologram of double-scaled SYK
• Light rings of five-dimensional geometries
• On the geometry outside of acoustic black holes in $2+1$-dimensional spacetime
• Maximal quantum chaos of the critical Fermi surface
• Hayden-Preskill decoding from noisy Hawking radiation
• Holographic study of entanglement and complexity for mixed states
• Out-of-time-ordered correlation functions in open systems: A Feynman-Vernon influence functional approach
• Out-of-time-order correlator in the quantum Rabi model
• Information Scrambling with Conservation Laws
• Superluminal chaos after a quantum quench
• Anisotropic and frame dependent chaos of suspended strings from a dynamical holographic QCD model with magnetic field
• Generalized conformal structure, dilaton gravity and SYK
• Operational Metric for Quantum Chaos and the Corresponding Spatiotemporal Entanglement Structure
• Chaos and Complexity from Quantum Neural Network: A study with Diffusion Metric in Machine Learning
• Pole skipping in holographic theories with gauge and fermionic fields
• Quantum bounds on the generalized Lyapunov exponents
• Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model
• Extracting Lyapunov exponents from the echo dynamics of Bose-Einstein condensates on a lattice
• The Gravity Dual of Real-Time CFT at Finite Temperature
• Operator growth in random quantum circuits with symmetry
• Subleading Bounds on Chaos
• Butterflies from Information Metric
• Quasi-integrable systems are slow to thermalize but may be good scramblers
• Near horizon symmetries, emergence of Goldstone modes and thermality
• Spectral Form Factor in Non-Gaussian Random Matrix Theories
• Dynamical thermalization in isolated quantum dots and black holes
• Pole-Skipping in Rotating BTZ Black Holes
• Thermalization of non-Fermi-liquid electron-phonon systems: Hydrodynamic relaxation of the Yukawa-Sachdev-Ye-Kitaev model
• $2\to 2N$ scattering: Eikonalisation and the Page curve
• Tripartite information of highly entangled states
• Replica symmetry breaking in random matrix model: a toy model of wormhole networks
• Interferometric-Spectroscopy With Quantum-Light; Revealing Out-of-Time-Ordering Correlators
• Surprises in the Deep Hilbert Space of all-to-all systems: From super-exponential scrambling to slow entanglement growth
• T-linear resistivity, optical conductivity and Planckian transport for a holographic local quantum critical metal in a periodic potential
• Overcounting of interior excitations: A resolution to the bags of gold paradox in AdS
• Extracting classical Lyapunov exponent from one-dimensional quantum mechanics
• Extended Eigenstate Thermalization and the role of FZZT branes in the Schwarzian theory
• Complexity of quantum motion and quantum-classical correspondence: A phase-space approach
• Statistical and dynamical properties of the quantum triangle map
• Scrambling and Many-Body Localization in the XXZ-Chain
• Information scrambling at an impurity quantum critical point
• AdS/CFT Unitarity at Higher Loops: High-Energy String Scattering
• Quantum to classical crossover in many-body chaos and scrambling from relaxation in a glass
• Shear transport far from equilibrium via holography
• Heavy-Heavy-Light-Light correlators in Liouville theory
• The Timescales of Quantum Breaking
• An obstacle to sub-AdS holography for SYK-like models
• Emergence of correlations in the process of thermalization of interacting bosons
• Operator Growth from Global Out-of-time-order Correlators
• Robustness of quantum chaos and anomalous relaxation in open quantum circuits
• Designs via Free Probability
• Diffusion for Holographic Lattices
• Thermalisation in a Bose-Hubbard dimer with modulated tunneling
• Krylov complexity for non-local spin chains
• The Most Irrational Rational Theories
• A Note on Sachdev-Ye-Kitaev Like Model without Random Coupling
• Quantum scrambling of observable algebras
• Proposal for measuring out-of-time-ordered correlators at finite temperature with coupled spin chains
• Nonrelativistic Corners of $\mathcal{N}=4$ Supersymmetric Yang--Mills Theory
• Emergent Symmetry in Brownian SYK Models and Charge Dependent Scrambling
• Thermalization and its Breakdown for a Large Nonlinear Spin
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Chaotic dynamics of string around charged black brane with hyperscaling violation
• Krylov Complexity in Mixed Phase Space
• Large $N$ expansion of the moments and free energy of Sachdev-Ye-Kitaev model, and the enumeration of intersection graphs
• Dynamical route to ergodicity and quantum scarring in kicked coupled top
• Memory effects from holonomies
• Quantum many-body dynamics on the star graph
• Chaos on the hypercube
• Phase diagram of a two-site coupled complex Sachdev-Ye-Kitaev model
• Optimal uncertainty relations in a modified Heisenberg algebra
• State estimation with quantum extreme learning machines beyond the scrambling time
• Transient chaos analysis of string scattering
• Construction of bulk solutions for towers of pole-skipping points
• Black Hole and de Sitter Microstructures from a Semiclassical Perspective
• Thermalization, Viscosity and the Averaged Null Energy Condition
• Mellin amplitudes for 1$d$ CFT
• Saturation of Thermal Complexity of Purification
• Mixed State Entanglement and Thermal Phase Transitions
• Universal Error Bound for Constrained Quantum Dynamics
• Driving superconducting qubits into chaos
• Quantum chaos in supersymmetric quantum mechanics: an exact diagonalization study
• The growth of operator entropy in operator growth
• The shared universality of charged black holes and the many many-body SYK model
• Bound on Lyapunov exponent in Einstein-Maxwell-Dilaton-Axion black holes
• A bound on energy dependence of chaos
• Disordered vector models: from higher spins to incipient strings
• Fast Scrambling due to Rotating Shockwaves in BTZ
• BROTOCs and Quantum Information Scrambling at Finite Temperature
• On (Scalar QED) Gravitational Positivity Bounds
• Spectral statistics of a minimal quantum glass model
• Microcanonical windows on quantum operators
• Out-of-time-order correlators and Lyapunov exponents in sparse SYK
• Probing the edge between integrability and quantum chaos in interacting few-atom systems
• Eigenstate correlations, the eigenstate thermalization hypothesis, and quantum information dynamics in chaotic many-body quantum systems
• Perturbative calculations of entanglement entropy
• Bound on Lyapunov exponent in Kerr-Newman-de Sitter black holes by a charged particle
• Holographic complexity for black branes with momentum relaxation
• Variational Preparation of the Sachdev-Ye-Kitaev Thermofield Double
• Quasinormal Modes and Universality of the Penrose Limit of Black Hole Photon Rings
• Closed Strings and Weak Gravity from Higher-Spin Causality
• Similarity between the kinematic viscosity of quark-gluon plasma and liquids at the viscosity minimum
• Phenomenological implications of asymmetric $Ad{S}_5$ shockwave collision studies for heavy ion physics
• Dynamics of spinning particles in Reissner-Nordström black hole exterior
• The smallest matrix black hole model in the classical limit
• Chaos and High Temperature Pure State Thermalization
• Constraints on hydrodynamics from many-body quantum chaos
• Aspects of AdS${}_2$ holography with non-constant dilaton
• Entanglement entropy and out-of-time-order correlator in the long-range Aubry-André-Harper model
• Butterfly Effect and Spatial Structure of Information Spreading in a Chaotic Cellular Automaton
• Out-of-time-ordered correlators of the Hubbard model: SYK strange metal in the spin freezing crossover region
• Barren plateaus from learning scramblers with local cost functions
• Extremal Chaos
• Sachdev-Ye-Kitaev circuits for braiding and charging Majorana zero modes
• Schwinger-Keldysh path integral for the quantum harmonic oscillator
• Exact universal bounds on quantum dynamics and fast scrambling
• Quantum chaos and phase transition in the Yukawa-SYK model
• Scrambling via Braiding of Nonabelions
• Quantifying scrambling in quantum neural networks
• Speeding up the spread of quantum information in chaotic systems
• Probing Out-of-Time-Order Correlators
• Similar early growth of out-of-time-ordered correlators in quantum chaotic and integrable Ising chains
• On Universality of Holographic Results for (2+1)-Dimensional CFTs on Curved Spacetimes
• Localization of Extended Quantum Objects
• Unveiling operator growth in SYK quench dynamics
• Invariant Perfect Tensors
• Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
• Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect
• Supersymmetry method for interacting chaotic and disordered systems: the SYK model
• Chaos exponents of SYK traversable wormholes
• Microstates of a $2d$ Black Hole in string theory
• Scrambling dynamics and many-body chaos in a random dipolar spin model
• Quantum randomness in the Sky
• Four point functions in CFT's with slightly broken higher spin symmetry
• $Q$-Laguerre spectral density and quantum chaos in the Wishart-Sachdev-Ye-Kitaev model
• Correlated Disorder in the SYK${}_2$ model
• A Species or Weak-Gravity Bound for Large $N$ Gauge Theories Coupled to Gravity
• Local Poincaré Algebra from Quantum Chaos
• $Z_2$ fractionalized phases of a solvable, disordered, $t$-$J$ model
• Constraining Weil-Petersson volumes by universal random matrix correlations in low-dimensional quantum gravity
• Emergent Universal Quench Dynamics in Randomly Interacting Spin Models
• Conformal Regge Theory at Finite Boost
• Quantum Causal Influence
• Probing quantum chaos in multipartite systems
• Chaos and fast scrambling delays of dyonic Kerr-Sen-AdS${}_4$ black hole and its ultra-spinning version
• Krylov complexity of deformed conformal field theories
• Lyapunov exponents of quantum trajectories beyond continuous measurements
• A universal bound on Quantum Chaos from Random Matrix Theory
• Complexity and order in approximate quantum error-correcting codes
• Entanglement wedge reconstruction and correlation measures in mixed states: modular flows versus quantum recovery channels
• Dynamical transition from localized to uniform scrambling in locally hyperbolic systems
• Connecting quasinormal modes and heat kernels in 1-loop determinants
• De Finetti theorems and entanglement in large-N theories and gravity
• Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite $N$
• Exact relaxation dynamics and quantum information scrambling in multiply quenched harmonic chains
• Matrix Quantum Mechanics from Qubits
• Nonuniqueness of scattering amplitudes at special points
• Shockwaves in black hole microstate geometries
• Quantum simulation of operator spreading in the chaotic Ising model
• Entanglement Wedge Minimum Cross-section in Holographic Massive Gravity Theory
• Scrambling in quantum cellular automata
• Quantum chaos associated with emergent ergosurface in transition layer between type-I and type-II Weyl semimetals
• Quantum information scrambling in the presence of weak and strong thermalization
• Many-body chaos near a thermal phase transition
• Late Time Quantum Chaos of pure states in the SYK model
• Energy-Resolved Information Scrambling in Energy-Space Lattices
• Quantum Chaos and Coherence: Random Parametric Quantum Channels
• Chiral Algebras of Two-Dimensional SYK Models
• Local quenches and quantum chaos from higher spin perturbations
• Signatures of quantum chaos in an out-of-time-order tensor
• Tensor Models for Black Hole Probes
• Operator growth bounds in a cartoon matrix model
• Holographic QCD and magnetic fields
• Controlling chaos in the quantum regime using adaptive measurements
• Effective Field Theory Islands from Perturbative and Nonperturbative Four-Graviton Amplitudes
• Homoclinic orbits in Kerr-Newman black holes
• Chaotic diffusion of complex trajectory and its quantum signature
• Shock waves, black hole interiors and holographic RG flows
• Speed limits to the growth of Krylov complexity in open quantum systems
• Planckian properties of 2D semiconductor systems
• Universal flow equations and chaos bound saturation in 2d dilaton gravity
• A Tale of Two Butterflies: An Exact Equivalence in Higher-Derivative Gravity
• The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation
• The principle of majorization: application to random quantum circuits
• Macroscopic Length Correlations in Non-Equilibrium Systems and Their Possible Realizatons
• Scrambling with conservation law
• Sampling and scrambling on a chain of superconducting qubits
• Dynamic Properties of Two-Dimensional Latticed Holographic System
• Brickwall One-Loop Determinant: Spectral Statistics & Krylov Complexity
• Entanglement asymmetry dynamics in random quantum circuits
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• Non-Stabilizerness of Sachdev-Ye-Kitaev Model
• Dissipative Quantum Chaos unveiled by Stochastic Quantum Trajectories
• Classical and Quantum Chaos in Chirally-Driven, Dissipative Bose-Hubbard Systems
• Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena
• Supersymmetric Many-Body Systems from Partial Symmetries: Integrability, Localization and Scrambling
• Properties of condensed matter from fundamental physical constants
• Chaos in Three-dimensional Higher Spin Gravity
• Loschmidt echo in many-spin systems: a quest for intrinsic decoherence and emergent irreversibility
• Fingerprint of chaos and quantum scars in kicked Dicke model: An out-of-time-order correlator study
• Quantum information scrambling in non-Markovian open quantum systems
• Linear growth of the entanglement entropy for quadratic Hamiltonians and arbitrary initial states
• Out of Time Order Correlations in the Quasi-Periodic Aubry-André model
• Effective description of sub-maximal chaos: stringy effects for SYK scrambling
• Witnessing quantum chaos using observational entropy
• Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians
• Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model
• Causality bounds chaos in geodesic motions
• Hydrodynamic theory of scrambling in chaotic long-range interacting systems
• Aspects of univalence in holographic axion models
• Metal-insulator transition in a random Hubbard model
• Chaos and multifold complexity for an inverted harmonic oscillator
• Spatio-temporal spread of perturbations in power-law models at low temperatures: Exact results for OTOC
• Classification of the quantum chaos in colored Sachdev-Ye-Kitaev models
• Reparametrization modes in 2d CFT and the effective theory of stress tensor exchanges
• Generalized black hole entropy in two dimensions
• Exactly solvable many-body dynamics from space-time duality
• Coarse-grained Entanglement and Operator Growth in Anomalous Dynamics
• Boundary Chaos
• Low temperature quantum bounds on simple models
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Scattering strings off quantum extremal surfaces
• Slow scrambling in sonic black holes
• Soft modes in $\mathcal{N}=2$ SYK model
• Holography Abhors Visible Trapped Surfaces
• Chaos Bound and its violation in Black p-brane
• Fast Scrambling of Mutual Information in Kerr-AdS${}_4$
• Information propagation in one-dimensional XY-$\Gamma$ chains
• Stochastic Operator Variance: an observable to diagnose noise and scrambling
• Boundary Chaos: Exact Entanglement Dynamics
• Quantum information scrambling and quantum chaos in little string theory
• Generalized Free Cumulants for Quantum Chaotic Systems
• Operator Size Distribution in Large $N$ Quantum Mechanics of Majorana Fermions
• Strongly coupled phonon fluid and Goldstone modes in an anharmonic quantum solid: transport and chaos
• Using Disorder to Identify Bogoliubov Fermi-Surface States
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Decoherence and Microscopic Diffusion at SYK
• Quantum information probes of charge fractionalization in large-$N$ gauge theories
• Quantum Chaos in the Extended Dicke Model
• Primordial Gravitational Wave Circuit Complexity
• Operator dynamics in Floquet many-body systems
• Chaotic dynamics of a suspended string in a gravitational background with magnetic field
• Thermalization of Yang-Mills theory in a $(3+1)$ dimensional small lattice system
• M2-brane Dynamics in the Classical Limit of the BMN Matrix Model
• Geometrical interpretation of the argument of weak values of general observables in N-level quantum systems
• Schwarzian correction to quantum correlation in SYK model
• The QCD $\beta$-function On The String Worldsheet
• Chaos, Dirac observables and constraint quantization
• Classical simulation of quantum circuits by dynamical localization: analytic results for Pauli-observable scrambling in time-dependent disorder
• Holographic Butterfly Velocities in Brane Geometry and Einstein-Gauss-Bonnet Gravity with Matters
• Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
• Real-time dynamics of matrix quantum mechanics beyond the classical approximation
• Mixing and localisation in random time-periodic quantum circuits of Clifford unitaries
• Wormholes from Averaging over States
• Spread complexity and quantum chaos for periodically driven spin chains
• The black hole information puzzle and the quantum de Finetti theorem
• Schwarzian functional integrals calculus
• An Inelastic Bound on Chaos
• Out-of-Time-Order Correlators in One-Dimensional XY model
• Rescuing Complementarity With Little Drama
• Onset of Quantum Chaos in Random Field Theories
• Renyi Entropy of Interacting Thermal Bosons in Large $N$ Approximation
• Characteristic, dynamic, and near saturation regions of Out-of-time-order correlation in Floquet Ising models
• Quantum Information Theory of the Gravitational Anomaly
• Quantum Information Scrambling in Molecules
• Decoding Quantum Field Theory with Machine Learning
• Quenched many-body quantum dynamics with $k$-body interactions using $q$-Hermite polynomials
• Late-time critical behavior of local string-like observables under quantum quenches
• The quantum cat map on the modular discretization of extremal black hole horizons
• Charge transport, information scrambling and quantum operator-coherence in a many-body system with U(1) symmetry
• Purification and scrambling in a chaotic Hamiltonian dynamics with measurements
• Holographic Dual to Conical Defects III: Improved Image Method
• Weak chaos and mixed dynamics in the string S-matrix
• Quantum information spreading in random spin chains with topological order
• Krylov Complexity as a Probe for Chaos
• Out-of-time-ordered correlators and quantum walks
• Correlation Functions From Tensor Network Influence Functionals: The Case of the Spin-Boson Model
• Phase diagram of QCD chaos in linear sigma models and holography
• Circular string in a Black p-brane leading to chaos
• Out-of-time-ordered measurements as a probe of quantum dynamics
• Note on global symmetry and SYK model
• Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Estimating ergodization time of a chaotic many-particle system from a time reversal of equilibrium noise
• Stringy Effects and the Role of the Singularity in Holographic Complexity
• Holographic scalar and vector exchange in OTOCs and pole-skipping phenomena
• Relative asymptotic oscillations of the out-of-time-ordered correlator as a quantum chaos indicator
• Non-extremal superdescendants of the D1D5 CFT
• Quantum information scrambling in two-dimensional Bose-Hubbard lattices
• Microscope for Quantum Dynamics with Planck Cell Resolution
• Gapless odd-frequency superconductivity induced by the Sachdev-Ye-Kitaev model
• Near-horizon chaos beyond Einstein gravity
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
• Universal properties of many-body quantum chaos at Gross-Neveu criticality
• A Generalized Nachtmann Theorem in CFT
• Effective time reversal and echo dynamics in the transverse field Ising model
• Chaos in the Fishnet
• Dissipation induced information scrambling in a collision model
• A Bound on Thermal Relativistic Correlators at Large Spacelike Momenta
• Classical and quantum butterfly effect in nonlinear vector mechanics
• Quantum and Classical Dynamics with Random Permutation Circuits
• Sparse random matrices and Gaussian ensembles with varying randomness
• From the Black Hole Conundrum to the Structure of Quantum Gravity
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• The Inversion Formula and 6j Symbol for 3d Fermions
• Chaotic dynamics of string around the conformal black hole
• Matrix Quantum Mechanics on $S^1/{\mathbb{Z}}_2$
• Lyapunov Exponents, Phase Transitions, and Chaos Bound of ModMax AdS Black Holes
• Classical approach to equilibrium of out-of-time ordered correlators in mixed systems
• Quantum Information Capsule and Information Delocalization by Entanglement in Multiple-qubit Systems
• Thermalization in different phases of charged SYK model
• Disordered quantum critical fixed points from holography
• Photon echo and fractional excitation lensing of $S=1/2$ XY spin chain
• Quantum Correction to Chaos in Schwarzian Theory
• Local Operator Entanglement in Spin Chains
• The onset of quantum chaos in disordered CFTs
• Effect of chaos on information gain in quantum tomography
• Correlations vs connectivity in R-charge
• A Bound on Thermalization from Diffusive Fluctuations
• Many-body systems with random spatially local interactions
• Exponential speedup in measuring out-of-time-ordered correlators with a single bit of quantum information
• Bad metallic transport in geometrically frustrated models
• Modeling Position and Momentum in Finite-Dimensional Hilbert Spaces via Generalized Pauli Operators
• Black Holes and Marchenko-Pastur Distribution
• Localized chaos due to rotating shock waves in Kerr-AdS black holes and their ultraspinning version
• Chaos-induced depletion of a Bose-Einstein condensate
• Complexity is not Enough for Randomness
• Subsystem Information Capacity in Random Circuits and Hamiltonian Dynamics
• Classical route to ergodicity and scarring in collective quantum systems
• The Cosmological Switchback Effect II
• Holographic models of non-Fermi liquid metals revisited: an effective field theory approach
• Phase transition and evidence of fast-scrambling phase in measurement-only quantum circuit
• Microcanonical Free Cumulants in lattice systems
• Geometric encoding of renormalization group $\beta -$functions in an emergent holographic dual description
• Probing Dynamical Sensitivity of a Non-KAM System Through Out-of-Time-Order Correlators
• Understanding thermalization in a non-Abelian gauge theory in terms of its soft modes
• Matching partition functions of deformed JT gravity and the cSYK model
• Space-Time Duality between Quantum Chaos and Non-Hermitian Boundary Effect
• Towards the Web of Quantum Chaos Diagnostics
• Asymmetric butterfly velocities in 2-local Hamiltonians
• Euclidean wormholes in two-dimensional CFTs from quantum chaos and number theory
• Violation and Revival of Kramers' Degeneracy in Open Quantum Systems
• Bouncing inside the horizon and scrambling delays
• Pseudoclassical dynamics of the kicked top
• Entanglement Wedge Minimum Cross-Section for Holographic Aether Gravity
• An SYK-inspired model with density-density interactions: spectral & wave function statistics, Green's function and phase diagram
• Chaos and relative entropy
• Out of time ordered effective dynamics of a quartic oscillator
• Quantum Lyapunov exponent in dissipative systems
• Quantum Chaos on Complexity Geometry
• On the universality of late-time correlators in semi-classical 2d CFTs
• Replica Symmetry Breaking for the Integrable Two-Site Sachdev-Ye-Kitaev Model
• Collisions of localized shocks and quantum circuits
• Asymmetric butterfly velocities in Hamiltonian and circuit models
• Fast Scrambling of mutual information in Kerr-AdS${}_{\text{5}}$
• Holography, quantum complexity and quantum chaos in different models
• Quantum chaos and thermalization in the two-mode Dicke model
• Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model: Dynamical Aspects
• Scrambling in Two-Dimensional Conformal Field Theories with Light and Smeared Operators
• Multi-time correlations in the positive-P, Q, and doubled phase-space representations
• Scaling at the OTOC Wavefront: free versus chaotic models
• Chiral Sachdev-Ye model: Integrability and chaos of anyons in 1+1d
• Shear hydrodynamics, momentum relaxation, and the KSS bound
• Wormholes and holographic decoherence
• Hierarchy of double-time correlations
• Realizing the Hayden-Preskill Protocol with Coupled Dicke Models
• Quantum computation toolbox for decoherence-free qubits using multi-band alkali atoms
• Long-time dynamics in quantum spin lattices: ergodicity and hydrodynamic projections at all frequencies and wavelengths
• Concentration of OTOC and Lieb-Robinson velocity in random Hamiltonians
• Exact solutions and critical chaos in dilaton gravity with a boundary
• Quantum chaos in the Dicke model and its variants
• Conformal Blocks Beyond the Semi-Classical Limit
• Quantum Chaos and Circuit Parameter Optimization
• Symmetry classes, many-body zero modes, and supersymmetry in the complex Sachdev-Ye-Kitaev model
• Long-Range Nonlocality in Six-Point String Scattering: simulation of black hole infallers
• Theory of Irreversibility in Quantum Many-Body Systems
• Planckian superconductor
• Analyticity constraints bound the decay of the spectral form factor
• Information Trapping by Topologically Protected Edge States: Scrambling and the Butterfly Velocity
• A Renormalizable SYK-type Tensor Field Theory
• A toy model for time evolving QFT on a lattice with controllable chaos
• Free Independence and the Noncrossing Partition Lattice in Dual-Unitary Quantum Circuits
• Diving inside holographic metals
• Information Scrambling and the Correspondence of Entanglement- and Operator Dynamics in Systems with Nonlocal Interactions
• Perturbing a quantum black hole
• Butterfly Effect and Holographic Mutual Information under External Field and Spatial Noncommutativity
• Information spreading and scrambling in disorder-free multiple-spin interacting models
• Quantum Complexity and Chaos in Young Black Holes
• SYK/AdS duality with Yang-Baxter deformations
• Configurational entropy and spectroscopy of pomeron resonances in dynamical AdS/QCD
• Adversarial Robustness Guarantees for Quantum Classifiers
• Out-of-Time-Ordered Correlation in Anisotropic Dicke Model
• Pseudo entropy and pseudo-Hermiticity in quantum field theories
• Mixed-state Entanglement for AdS Born-Infeld Theory
• A novel holographic quantum phase transition and butterfly velocity
• Long-time tails in the SYK chain from the effective field theory with a large number of derivatives
• Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model
• Operator Spreading in the Memory Matrix Formalism
• Conserved Quantities from Entanglement Hamiltonian
• Fidelity-dissipation relations in quantum gates
• Hayden-Preskill protocol and decoding Hawking radiation at finite temperature
• Parisi's hypercube, Fock-space frustration and near-AdS${}_2$/near-CFT${}_1$ holography
• Bounds for Lyapunov exponent of circular light orbits in black holes
• Evolution of circuit complexity in a harmonic chain under multiple quenches
• Statistical and dynamical aspects of quantum chaos in a kicked Bose-Hubbard dimer
• Sensitivity to the initial conditions of the Time-Dependent Density Functional Theory
• Holography for Tensor models
• A classical model for sub-Planckian thermal diffusivity in complex crystals
• Entanglement wedge method, out-of-time-ordered correlators, and pole skipping
• Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent
• Finite-size prethermalization at the chaos-to-integrable crossover
• How to Recover a Qubit That Has Fallen Into a Black Hole
• Slow scrambling and hidden integrability in a random rotor model
• Diagnosing First and Second Order Phase Transitions with Probes of Quantum Chaos
• Multi-trace Correlators in the SYK Model and Non-geometric Wormholes
• Complexity and Time
• Quantum Chaos for the Unitary Fermi Gas from the Generalized Boltzmann Equations
• Supersymmetric Landau-Ginzburg Tensor Models
• Floquet engineered inhomogeneous quantum chaos in critical systems
• Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
• Classification of Convergent OPE Channels for Lorentzian CFT Four-Point Functions
• Global Symmetry and Maximal Chaos
• Worldsheet traversable wormholes
• Butterfly Velocity in Quadratic Gravity
• Factorized lightcone expansion of conformal blocks
• Operator size growth in Lindbladian SYK
• Quantum Scars in Quantum Field Theory
• Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• Vacuum block thermalization in semi-classical 2d CFT
• Snapshotting Quantum Dynamics at Multiple Time Points
• Extended Geometric Trinity of Gravity
• Quantum Mechanics in the Infrared
• Lyapunov exponents, phase transition and chaos bound in Kerr-Newman AdS spacetime
• Onset of scrambling as a dynamical transition in tunable-range quantum circuits
• The Ergodicity Landscape of Quantum Theories
• Krylov operator complexity in holographic CFTs: Smeared boundary reconstruction and the dual proper radial momentum
• Signatures of the interplay between chaos and local criticality on the dynamics of scrambling in many-body systems
• Stochastic Sampling of Operator Growth Dynamics
• Information Scrambling in Free Fermion Systems with a Sole Interaction
• Stationary equilibrium of test particles near charged black branes with the hyperscaling violating factor
• Late time dynamics in SUSY saddle-dominated scrambling through higher-point OTOC
• Quantum chaos in the presence of non-conformality
• Quantum circuits with classically simulable operator scrambling
• Streamlined Krylov construction and classification of ergodic Floquet systems
• Relevant OTOC operators: footprints of the classical dynamics
• Signatures of fragmentation for periodically driven fermions
• D-commuting SYK model: building quantum chaos from integrable blocks
• Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD
• Operator Size for Holographic Field Theories
• Berry Curvature and Riemann Curvature in Kinematic Space with Spherical Entangling Surface
• Effects of topological and non-topological edge states on information propagation and scrambling in a Floquet spin chain
• Phase-transition-like behavior in information retrieval of a quantum scrambled random circuit system
• Dynamical Detection of Level Repulsion in the One-Particle Aubry-André Model
• The Lorenz ratio as a guide to scattering contributions to Planckian transport
• Probing chaos in the spherical p-spin glass model
• Towards quantum simulation of Sachdev-Ye-Kitaev model
• Effective Thermal Physics in Holography: A Brief Review
• Chaos bound in Bershadsky-Polyakov theory
• Quantum Chaos of the Bose-Fermi Kondo model at the intermediate temperature
• Non-Fermi liquid behavior in the Sachdev-Ye-Kitaev model for a one dimensional incoherent semimetal
• 3D $\mathcal{N}=1$ supergravity from Virasoro TQFT: Gravitational partition function and Out-of-time-order correlator
• Ringdown in the SYK model
• Temporal fluctuations of correlators in integrable and chaotic quantum systems
• Chaos in a quantum rotor model
• Maximally Chaotic Dynamical Systems and Fundamental Interactions
• Quantifying operator spreading and chaos in Krylov subspaces with quantum state reconstruction
• Primordial cosmic complexity and effects of reheating
• Hayden-Preskill Recovery in Hamiltonian Systems
• Strange metal phase of disordered magic-angle twisted bilayer graphene at low temperatures: from flatbands to weakly coupled Sachdev-Ye-Kitaev bundles
• Microscopic Models of Linear Dilaton Gravity and Their Semi-classical Approximations
• Chaos in $SU(2)$ Yang-Mills Chern-Simons Matrix Model
• Four-point function in the IOP matrix model
• Wormholes and the Thermodynamic Arrow of Time
• Dynamical indistinguishability and statistics in quantum fluids
• Charge transport properties in a novel holographic quantum phase transition model
• Chaotic Information Processing by Extremal Black Holes
• Real-time dynamics of 1D and 2D bosonic quantum matter deep in the many-body localized phase
• Error-resilient Reversal of Quantum Chaotic Dynamics Enabled by Scramblons
• Euclidean Thermodynamics and Lyapunov Exponents of Einstein-Power-Yang-Mills AdS Black Holes
• Holographic study of shear viscosity and butterfly velocity for magnetic field-driven quantum criticality
• Scheme to Detect the Strong-to-weak Symmetry Breaking via Randomized Measurements
• Scrambling in charged hairy black holes and the Kasner interior
• Control of spatiotemporal chaos by stochastic resetting
• Classical and quantum chaos of closed strings on a charged confining holographic background
• Tensor Network enhanced Dynamic Multiproduct Formulas
• Conformal quantum mechanics of causal diamonds: Time evolution, thermality, and instability via path integral functionals
• Universal Early-Time Growth in Quantum Circuit Complexity
• Simulating Floquet scrambling circuits on trapped-ion quantum computers
• Universal distributions of overlaps from generic dynamics in quantum many-body systems
• Optimally scrambling chiral spin-chain with effective black hole geometry
• An operational definition of quantum information scrambling
• Pole-skipping and chaos in D3-D7 brane systems
• Correlation functions for open strings and chaos
• Parisi's hypercube, Fock-space fluxes, and the microscopics of near-AdS${}_2$/near-CFT${}_1$ duality
• Quantum reservoir probing: an inverse paradigm of quantum reservoir computing for exploring quantum many-body physics
• Degeneracy in excited-state quantum phase transitions of two-level bosonic models and its influence on system dynamics
• Compressed quantum error mitigation
• Spectral response of disorder-free localized lattice gauge theories
• Out-of-Time Ordered Correlators in Kicked Coupled Tops: Information Scrambling in Mixed Phase Space and the Role of Conserved Quantities
• Operator spreading in quantum hardcore gases
• Fast scrambling dynamics and many-body localization transition in an all-to-all disordered quantum spin model
• More on the SW-QNM correspondence
• Spinning amplitudes from scalar amplitudes
• Wavefunction structure in quantum many-fermion systems with $k$-body interactions: conditional $q$-normal form of strength functions
• Connecting scrambling and work statistics for short-range interactions in the harmonic oscillator
• QMetrology from QCosmology: Study with Entangled Two Qubit Open Quantum System in De Sitter Space
• Hamiltonian Dynamics of a Sum of Interacting Random Matrices
• Many-body chaos in the antiferromagnetic quantum critical metal
• Early-Time and Late-Time Quantum Chaos
• True SYK or (con)sequences
• Simple rules of functional integration in the Schwarzian theory: SYK correlators
• Application of quantum scrambling in Rydberg atom on IBM quantum computer
• Particle motion and chaos
• Chaos from Equivariant Fields on Fuzzy $S^4$
• Scrambling in the Quantum Lifshitz Model
• Dynamical potentials for non-equilibrium quantum many-body phases
• Diffusion and Butterfly Velocity at Finite Density
• Holographic bulk reconstruction beyond (super)gravity
• Holographic Micro Thermofield Geometries of BTZ Black Holes
• A Quantum Correction To Chaos
• Thermalization of a Closed Sachdev-Ye-Kitaev System in the Thermodynamic Limit
• Long-ranged spectral correlations in eigenstate phases
• Random pure Gaussian states and Hawking radiation
• Tracking locality in time evolution of disordered systems
• Deterministic Chaos vs Integrable Models
• JT gravity and near-extremal thermodynamics for Kerr black holes in $Ad{S}_{4,5}$ for rotating perturbations
• Virasoro blocks and the reparametrization formalism
• Fast pseudorandom quantum state generators via inflationary quantum gates
• Quantum Chaos, Thermodynamics and Black Hole Microstates in the mass deformed SYK model
• SYK Model with global symmetries in the double scaling limit
• Out-of-time-ordered correlator in the one-dimensional Kuramoto-Sivashinsky and Kardar-Parisi-Zhang equations
• Chaotic Correlation Functions with Complex Fermions
• Quantum information diode based on a magnonic crystal
• Motions of spinning particles and chaos bound in Reissner-Nordström spacetime
• Quantum Information Capsule in Multiple-Qudit Systems and Continuous-Variable Systems
• Localizable quantum coherence
• Predicting Imperfect Echo Dynamics in Many-Body Quantum Systems
• Superconducting gap ratio from strange metal phase in the absence of quasiparticles
• Fractionalized Fermi liquids and the cuprate phase diagram
• Quantum Kolmogorov-Sinai entropy and Pesin relation
• Mimicking black hole event horizons in atomic and solid-state systems
• Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs
• Circuit Complexity From Supersymmetric Quantum Field Theory With Morse Function
• Phase space holography with no strings attached
• Free Probability approach to spectral and operator statistics in Rosenzweig-Porter random matrix ensembles
• Krylov Complexity in Lifshitz-type Dirac Field Theories
• Non-Clifford Cost of Random Unitaries
• Detecting Many-Body Scars from Fisher Zeros
• Artin Billiard Exponential Decay of Correlation Functions
• Classicalization and unitarization of wee partons in QCD and Gravity: The CGC-Black Hole correspondence
• Sign-Problem-Free Variant of Complex Sachdev-Ye-Kitaev Model
• Quasinormal Modes and the Switchback Effect in Schwarzschild-de Sitter
• Generalized dilaton gravity in 2d
• Scrambling under quench
• A Strategy for Proving the Strong Eigenstate Thermalization Hypothesis : Chaotic Systems and Holography
• Long-time Quantum Scrambling and Generalized Tensor Product Structures
• Holographic Aspects of Quasi-topological Gravity
• Krylov Complexity in the Schrödinger Field Theory
• Field theory for monitored Brownian SYK clusters
• Non-Equilibrium Many-Body Dynamics Following A Quantum Quench
• Chaos, Phase Transitions and Curvature Invariants of (rotating, warped, massive) BTZ Black Holes
• On the Nonequilibrium Dynamics of Gravitational Algebras
• SYK does not Transit Gloria Mundi just yet
• Quantum chaos in PT symmetric quantum systems
• Entanglement and Chaos in De Sitter Holography: An SYK Example
• Jackiw-Teitelboim gravity and near-extremal BTZ thermodynamics
• Thermodynamics and dynamics of coupled complex SYK models
• Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model
• Origin and Limit of the Recovery of Damaged Information by Time Reversal
• Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions
• Transient and steady-state chaos in dissipative quantum systems
• Size Winding Mechanism beyond Maximal Chaos
• Machine learning, quantum chaos, and pseudorandom evolution
• Disorder-free Sachdev-Ye-Kitaev models: Integrability and a precursor of chaos
• Generalized Gibbs Ensemble of 2D CFTs with U(1) Charge from the AGT Correspondence
• No invariant perfect qubit codes
• Quantum many-body physics from a gravitational lens
• Classical, semiclassical and quantum signatures of quantum phase transitions in a (pseudo) relativistic many-body system
• Information Dynamics in a Model with Hilbert Space Fragmentation
• Statistical complexity and the road to equilibrium in many-body chaotic quantum systems
• Short-time expansion of Heisenberg operators in open collective quantum spin systems
• Quantum instability and Ehrenfest time for an inverted harmonic oscillator
• Chaos from Massive Deformations of Yang-Mills Matrix Models
• Disordered $\mathcal{N}=(2,2)$ Supersymmetric Field Theories
• Quantum chaos in a weakly-coupled field theory with nonlocality
• Quantum Annealing with chaotic driver Hamiltonians
• Super-maximal chaos and instability
• Weighted Bures Length Uncovers Quantum State Sensitivity
• Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum
• Emergent spacetime & Quantum Entanglement in Matrix theory
• Cycle-expansion method for the Lyapunov exponent, susceptibility, and higher moments
• Decoherence of Histories: Chaotic Versus Integrable Systems
• Saturation of Chaos Bound in a Phenomenological Rotating Black Hole--Effective Matter System at Low-Temperature Limit
• Quantum memory and scrambling from the perspective of a classical neural network
• Chaotic Dynamics of the Mass Deformed ABJM Model
• Quantum quench, large N, and symmetry restoration
• Strong-coupling superconductivity near Gross-Neveu quantum criticality in Dirac systems
• Overdamped quasibound states inside a Schwarzschild black hole
• Bipartite OTOC in open quantum systems: information scrambling and irreversibility
• Random Circuits in the Black Hole Interior
• Out of Time Order Correlation of the Hubbard Model with Random Local Disorder
• Holography from Decoherence and Entanglement
• Unambiguous measurement of information scrambling in a hierarchical star-topology system
• Semiclassical correlators in Jackiw-Teitelboim gravity
• Scrambling Transition in Free Fermion Systems Induced by a Single Impurity
• Schwarzian for colored Jackiw-Teitelboim gravity
• Absence of temporal order in states with spatial correlation decay
• $\mathcal{N}=2$ SYK models with dynamical bosons and fermions
• Entanglement growth and information capacity in a quasiperiodic system with a single-particle mobility edge
• Effective Field Theory Factorization for Diffraction
• Higher point OTOCs and the bound on chaos
• Emergent geometry from stochastic dynamics, or Hawking evaporation in M(atrix) theory
• A simple model for Hawking radiation
• Constructive expansion for quartic vector fields theories. I. Low dimensions
• Chaos and the dynamics of information in dissipative electronic systems
• A note on size-momentum correspondence and chaos
• Universal Computation with Quantum Fields
• Lyapunov exponents and entanglement entropy transition on the noncommutative hyperbolic plane
• Commutators of random matrices from the unitary and orthogonal groups
• Many-body chaos and anomalous diffusion across thermal phase transitions in two dimensions
• Tensor Field Theories: Renormalization and Random Geometry
• Quantum signatures of chaos in a cavity-QED-based stimulated Raman adiabatic passage
• Reparametrization mode Ward Identities and chaos in higher-pt. correlators in CFT${}_2$
• Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation
• Spacing Statistics of Energy Spectra: Random Matrices, Black Hole Thermalization, and Echoes
• Quantum chaos and Hénon-Heiles model: Dirac's variational approach with Jackiw-Kerman function
• Simulating spin measurement with a finite heat bath model for the environment
• Uncertainty Relations in Pre- and Post-Selected Systems
• Quantum Instability
• Fast Pre-scramblers
• Loschmidt echo and scrambling of systematic errors in tomography -- a quantum signature of chaos
• Slowest and Fastest Information Scrambling in the Strongly Disordered XXZ Model
• Late time behavior of $n$-point spectral form factors in Airy and JT gravities
• Non-perturbative particle production and differential geometry
• Quantum Signatures of Chaos in Anisotropic Quantum Rabi Model
• Building Entanglement Entropy out of Correlation Functions for Interacting Fermions
• Disorder-free localisation in continuous-time quantum walks : Role of symmetries
• Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling
• Statistical Mechanics of Exponentially Many Low Lying States
• Recovery of damaged information via scrambling in indefinite casual order
• Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory
• Mutual averaged non-commutativity of quantum operator algebras
• Inverse Hamiltonian design of highly-entangled quantum systems
• Parameterized quantum comb and simpler circuits for reversing unknown qubit-unitary operations
• Quantum Liang Information Flow Probe of Causality across Critical Points
• Information scrambling in quantum walks: Discrete-time formulation of Krylov complexity
• Current Correlations and Conductivity in SYK-Like Systems: An Analytical Study
• Global Out of Time Order Correlators as a Signature of Scrambling Dynamics of Local Observables
• A recipe for local simulation of strongly-correlated fermionic matter on quantum computers: the 2D Fermi-Hubbard model
• Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos
• Benchmarking quantum chaos from geometric complexity
• Pseudochaotic Many-Body Dynamics as a Pseudorandom State Generator
• On Computational Complexity of Unitary and State Design Properties
• The Nonabelian Plasma is Chaotic
• The chiral SYK model in three-dimensional holography
• Quantum Chaos in Non-Markovian Open Quantum Systems: Interferometric OTOC, Loschmidt Echo and Commutator Operator Norm
• Macroscopic Particle Transport in Dissipative Long-Range Bosonic Systems
• Two-local modifications of SYK model with quantum chaos
• SYK model based $\beta$ regime dependent two-qubit dynamical wormhole-inspired teleportation protocol simulation
• Correspondence principle, dissipation, and Ginibre ensemble
• The thermal backreaction of a scalar field in de Sitter spacetime
• Random Permutation Circuits Beyond Qubits are Quantum Chaotic
• Quantum speed limit for the OTOC from an open systems perspective
• Ruelle-Pollicott Decay of Out-of-Time-Order Correlators in Many-Body Systems
• Chaotic Dynamics in Extremal Black Holes: A Challenge to the Chaos Bound
• Quantum simulations of complex systems
• Unequal time Commutators in Friedmann universes: Deterministic evolution of massless fields
• Directional scrambling of quantum information in helical multiferroics
• Scrambling and quantum feedback in a nanomechanical system
• The quantum $p$-spin glass model: A user manual for holographers
• Quantum Correlations in Space-Time: Foundations and Applications
• Persistent many-body quantum echoes
• Fast Scrambling under an RG-flow
• Nearly AdS${}_2$ holography in quantum CGHS model
• New Limits for Large $N$ Matrix and Tensor Models: Large $D$, Melons and Applications
• Universal non-equilibrium dynamics of pure states and density-dependent thermalization in Sachdev-Ye-Kitaev model
• Coherence-induced deep thermalization transition in random permutation quantum dynamics
• A universal constraint for relaxation rates for quantum Markov generators: complete positivity and beyond
• Open-system dynamics in local Lindbladians with chaotic spectra
• Quantum Chaos of Unitary Fermi Gases in Strong Pairing Fluctuation Region
• Quantum Trilogy: Discrete Toda, Y-System and Chaos
• Why is AI hard and Physics simple?
• Holographic Black Hole Formation and Scrambling in Time-Ordered Correlators
• Note on the super-extended Moyal formalism and its BBGKY hierarchy
• Quantum information scrambling in adiabatically-driven critical systems
• Butterfly velocity and chaos suppression in de Sitter space
• Relaxation Fluctuations of Correlation Functions: Spin and Random Matrix Models
• Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories
• Nonuniqueness of Green's functions at special points
• Classical periodic trajectories and quantum scars in many-spin systems
• Rotating particles in AdS: Holography at weak gauge coupling and without conformal symmetry
• A polynomial time algorithm for studying physical observables in chaotic eigenstates
• Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence
• Thermalization in parametrically driven coupled oscillators
• Edge of Many-Body Quantum Chaos in Quantum Reservoir Computing
• Anatomy of information scrambling and decoherence in the integrable Sachdev-Ye-Kitaev model
• Adiabatic quantum decoherence in many non-interacting subsystems induced by the coupling with a common boson bath
• The butterfly effect in a Sachdev-Ye-Kitaev quantum dot system
• Out-of-time-order correlator computation based on discrete truncated Wigner approximation
• Experimental Measurement of Out-of-Time-Ordered Correlators at Finite Temperature
• Bound on the Lyapunov exponent in Kerr-Newman black holes via a charged particle
• Chaos in the holographic matrix models for meson and baryon
• Lyapunov exponents in a Sachdev-Ye-Kitaev-type model with population imbalance in the conformal limit and beyond
• The extended diffusive Sachdev-Ye-Kitaev model as a sort of "strange metal"
• Black Hole Entropy and the Pseudo Goldstone Bosons of Conformal Symmetry
• Energy dynamics in a class of local random matrix Hamiltonians
• Rate of cluster decomposition via Fermat-Steiner point
• Detecting few-body quantum chaos: out-of-time ordered correlators at saturation
• A route from maximal chaoticity to integrability
• Chaos and anomalous transport in a semiclassical Bose-Hubbard chain
• From Confinement to Chaos in AdS/CFT Correspondence via Non-equilibrium Local States
• Optimizing a quantum reservoir computer for time series prediction
• Mechanisms of scrambling and unscrambling of quantum information in the ground state in spin chains: domain-walls, spin-flips and scattering phase shifts
• Simulating sparse SYK model with a randomized algorithm on a trapped-ion quantum computer
• A tripartite entanglement in de Sitter spacetime
• Information scrambling of the dilute Bose gas at low temperature
• Learning out-of-time-ordered correlators with classical kernel methods
• Irreversible behaviour of a gas owing to Unruh radiation
• Markovian to non-Markovian phase transition in the operator dynamics of a mobile impurity
• Information scrambling and butterfly velocity in quantum spin glass chains
• Probabilistic deconstruction of a theory of gravity, Part II: curved space
• Arnol'd cat map lattices
• Tensor Product Structure Geometry under Unitary Channels
• Fast Scramblers, Democratic Walks and Information Fields
• Complexity, chaos and the moving D3-brane
• Hot wormholes and chaos dynamics in a two-coupled SYK model
• Signatures of quantum chaos and complexity in the Ising model on random graphs
• Information scrambling and entanglement dynamics in Floquet Time Crystals
• Sparse SYK and traversable wormholes
• Quantum Entanglement and Spectral Form Factor
• Out-of-time-ordered commutators in Dirac--Weyl systems
• Growth of a renormalized operator as a probe of chaos
• Complexity of Quadratic Quantum Chaos
• Spectral Form Factor in Sparse SYK Models
• Out-of-time-order asymptotic observables are quasi-isomorphic to time-ordered amplitudes
• Threefold Way for Typical Entanglement
• Unorientable topological gravity and orthogonal random matrix universality
• Chaos-protected locality
• Phase transition from localization to chaos in classical many-body system
• Localization of information driven by stochastic resetting
• Entropy and Black Holes in the Very Early Universe
• Haar averaged moments of correlation functions and OTOCs in Floquet systems
• Causality constraints in Quadratic Gravity
• Waveguide QED toolboxes for universal quantum matter
• Chaos in Matrix Gauge Theories with Massive Deformations
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Generalized Calogero-Sutherland models for Kondo physics in the Luttinger liquid
• Bosonic near-CFT${}_1$ models from Fock-space fluxes
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model
• The spectral curve of segmented strings
• False signals of chaos from quantum probes
• Out-of-time-order correlators of nonlocal block-spin and random observables in integrable and nonintegrable spin chains
• Analytical Lower Bound on Query Complexity for Transformations of Unknown Unitary Operations
• Non-trivial Lyapunov spectrum from fractal quantum cellular automata
• Replicas, averaging and factorization in the IIB matrix model
• Tighter thermalization bounds for perturbed quantum many-body scars
• Long-time signatures of chaos in large atom-light frequency ratios Rabi model
• Interscale entanglement production in a quantum system simulating classical chaos
• On a Matrix Ensemble for Arbitrary Complex Quantum Systems
• Higher-spin localized shocks
• Information acquisition, scrambling, and sensitivity to errors in quantum chaos
• Krylov complexity of many-body localization: Operator localization in Krylov basis
• Beyond the ensemble paradigm in low dimensional quantum gravity: Schwarzian density, quantum chaos and wormhole contributions
• A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics
• Notes on AdS-Schwarzschild eikonal phase
• Light cone OPE in a CFT with lowest twist scalar primary
• Black Hole Time Scales: Thermalization, Infall and Complexity
• On Emergent Geometry from Entanglement Entropy in Matrix theory
• A proposal to extract and enhance four-Majorana interactions in hybrid nanowires
• Yang-Mills Classical and Quantum Mechanics and Maximally Chaotic Dynamical Systems
• Existence of a supersymmetric extension of the gauged non-linear $\Sigma$-model and the transition from integrability to chaos
• Turbulent aspects of BMN membrane dynamics
• Gauging the complex SYK model
• A graph-theoretic approach to chaos and complexity in quantum systems
• A unique coupling of the massive spin-2 field to supergravity
• Diagnosing chaos with projected ensembles of process tensors
• A sharp transition in quantum chaos and thermodynamics of mass deformed SYK model
• Symmetry resolved out-of-time-order correlators of Heisenberg spin chains using projected matrix product operators
• Analogous Hawking Radiation in Butterfly Effect
• Thermalization, Ergodicity and Quantum Fisher Information
• Probing the localization effects in Krylov basis
• Comparative Study of Indicators of Chaos in the Closed and Open Dicke Model
• Quantum transitions, ergodicity, and quantum scars in the coupled top model
• Interferometric and Bipartite OTOC for Non-Markovian Open Quantum Spin-Chains and Lipkin-Meshkov-Glick Model
• The Phases of Chaos
• Can we make sense out of "Tensor Field Theory"?
• Phase Thermalization: from Fermi Liquid to Incoherent Metal
• Entanglement structure for finite system under dual-unitary dynamics
• Recent developments in the holographic description of quantum chaos
• Quasiparticle tunnelling in two coupled chiral SYK model
• Spin-liquid and spin-glass behavior in quantum spin models with all-to-all p-spin interactions
• Out-of-time ordered correlation functions for the localized $f$ electrons in the Falicov-Kimball model
• Attraction Induced by Mutual Quantum Measurements of Velocity
• Quantum chaos measures for Floquet dynamics
• Efficient computation of average subsystem Bures distance between fermionic Gaussian states
• Out-of-time-order correlators bridge classical transport and quantum dynamics
• Chaos and quantum regimes in $n$-photon driven, dissipative bosonic chains
• Holographic Interpretation of Relative State Complexity
• Krylov Winding and Emergent Coherence in Operator Growth Dynamics
• Spinning constraints on chaotic large $c$ CFTs
• High Energy Reflection Coefficients of Black Holes and Branes
• Searching for emergent spacetime in spin glasses
• Hybrid Brownian SYK-Hubbard Model: from Spectral Function to Quantum Chaos
• From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal
• Out-of-time-order correlation and detection of phase structure in Floquet transverse Ising spin system
• From eigenstate thermalization to hydrodynamic transport in correlated metals
• Black Hole Mergers as the Fastest Photon Ring Scramblers
• Boltzmann-Loschmidt dispute reloaded quantum 150 years later
• Out-of-time-order correlators for Swanson Hamiltonian with interaction terms
• Local Geometric Bounds on Generalized Entropy Evolution along Null Horizons
• Holographic Topological Semimetals
• Maximally chaotic dynamical systems of Anosov-Kolmogorov
• Mutual correlation in the shock wave geometry
• Information propagation in a non-local model with emergent locality
• AdS black holes in two-dimensional dilaton gravity and holography
• Out-of-Time-Order-Correlation in perturbed quantum wells
• Theoretical study on thermalization in isolated quantum systems
• Dissipative quantum dynamics, phase transitions and non-Hermitian random matrices
• Scrambling dynamics across a thermalization-localization quantum phase transition
• Schwinger-Keldysh path integral formalism for a Quenched Quantum Inverted Oscillator
• Maximally Chaotic Dynamical System of Infinite Dimensionality
• Butterflies dragging the jets: on the chaotic nature of holographic QCD