Random Matrix Theories in Quantum Physics: Common Concepts

Abstract

We review the development of random-matrix theory (RMT) during the last decade. We emphasize both the theoretical aspects, and the application of the theory to a number of fields. These comprise chaotic and disordered systems, the localization problem, many-body quantum systems, the Calogero-Sutherland model, chiral symmetry breaking in QCD, and quantum gravity in two dimensions. The review is preceded by a brief historical survey of the developments of RMT and of localization theory since their inception. We emphasize the concepts common to the above-mentioned fields as well as the great diversity of RMT. In view of the universality of RMT, we suggest that the current development signals the emergence of a new "statistical mechanics": Stochasticity and general symmetry requirements lead to universal laws not based on dynamical principles.

178 pages, Revtex, 45 figures, submitted to Physics Reports

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• Absence of Mobility Edge in Short-range Uncorrelated Disordered Model: Coexistence of Localized and Extended States
• Nearest-neigbor spacing distributions of the beta-Hermite ensemble of random matrices
• U(1) axial symmetry and Dirac spectra in QCD at high temperature
• Invariant Integration over the Unitary Group
• Statistics of phase space localization measures and quantum chaos in the kicked top model
• Statistical Fluctuations of Electromagnetic Transition Intensities in pf-Shell Nuclei
• Universal Correlations and Power-Law Tails in Financial Covariance Matrices
• Chaos and Thermalization in the Spin-Boson Dicke Model
• Sublocalization, superlocalization, and violation of standard single parameter scaling in the Anderson model
• Spectral Form Factor as an OTOC Averaged over the Heisenberg Group
• Generating Haar-uniform Randomness using Stochastic Quantum Walks on a Photonic Chip
• Universal entanglement of typical states in constrained systems
• A random matrix approach to the boson peak and Ioffe-Regel criterion in amorphous solids
• Exact distribution of spacing ratios for random and localized states in quantum chaotic systems
• Molecules in external fields: a semiclassical analysis
• Spin-orbit interaction in quantum dots in the presence of exchange correlations
• Supersymmetry approach to Wishart correlation matrices: Exact results
• Integrable random matrix ensembles
• Lifetime statistics in chaotic dielectric microresonators
• Scaling in reversible submonolayer deposition
• Numerical study of a three-dimensional generalized stadium billiard
• Dephasing in quantum chaotic transport: a semiclassical approach
• Correlators for the Wigner-Smith time-delay matrix of chaotic cavities
• Spin measurements for 147Sm+n resonances: Further evidence for non-statistical effects
• Anderson Localization in Disordered Vibrating Rods
• The tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
• A model for chaotic dielectric microresonators
• Variational Schrieffer-Wolff Transformations for Quantum Many-Body Dynamics
• Quantifying randomness in protein-protein interaction networks of different species: A random matrix approach
• Quantum Dots with Disorder and Interactions: A Solvable Large-g Limit
• Distribution of the ratio of two consecutive level spacings in orthogonal to unitary crossover ensembles
• Statistical distribution of the Wigner-Smith time-delay matrix moments for chaotic cavities
• Level and Eigenfunction Statistics in Billiards with Surface Scattering
• Asymptotics of skew orthogonal polynomials
• Markovianization with approximate unitary designs
• A precision test of averaging in AdS/CFT
• Scaling at the chaos threshold in an interacting quantum dot
• Random Matrices with Correlated Elements: A Model for Disorder with Interactions
• Variance of transmitted power in multichannel dissipative ergodic structures invariant under time reversal
• Nearest level spacing statistics in open chaotic systems: a generalization of the Wigner Surmise
• Photon shot noise
• A random matrix theory of decoherence
• Large $N$ expansions for the Laguerre and Jacobi $\beta$ ensembles from the loop equations
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• GOE statistics in graphene billiards with the shape of classically integrable billiards
• Extraction of Step-Repulsion Strengths from Terrace Width Distributions: Statistical and Analytic Considerations
• A Bell pair in a generic random matrix environment
• Complexes formed in collisions between ultracold alkali-metal diatomic molecules and atoms
• Magnetic Field Control of the Quantum Chaotic Dynamics of Hydrogen Analogues in an Anisotropic Crystal Field
• Determining the number of factors in a forecast model by a random matrix test: cryptocurrencies
• An exactly solvable supersymmetric spin chain of BC_N type
• Universal scaling of spectral fluctuation transitions for interacting chaotic systems
• From few- to many-body quantum systems
• Symmetry deduction from spectral fluctuations in complex quantum systems
• Generic Local Hamiltonians are Gapless
• Spectral Universality of Real Chiral Random Matrix Ensembles
• Transport Control in Low-Dimensional Spin-1/2 Heisenberg Systems
• Quantum Chaos in Compact Lattice QED
• Rotational Symmetry Breaking in Multi-Matrix Models
• Macroscopic and Microscopic (Non-)Universality of Compact Support Random Matrix Theory
• Real-time methods for spectral functions
• Effective Hamiltonian and unitarity of the S matrix
• Eigenfunction structure and scaling of two interacting particles in the one-dimensional Anderson model
• Effect of Unfolding on the Spectral Statistics of Adjacency Matrices of Complex Networks
• Universal hypotrochoidic law for random matrices with cyclic correlations
• Random Matrix Theory, Chiral Perturbation Theory, and Lattice Data
• One-parameter Superscaling at the Metal-Insulator Transition in Three Dimensions
• Non-extensive RMT Approach to Mixed Regular-Chaotic Dynamics
• Spectral duality and distribution of exponents for transfer matrices of block tridiagonal Hamiltonians
• Equivalence of replica and cavity methods for computing spectra of sparse random matrices
• Coherent and stochastic contributions of compound resonances in atomic processes: Electron recombination, photoionization and scattering
• Spectral Form Factor of a Quantum Spin Glass
• Emergence of many-body quantum chaos via spontaneous breaking of unitarity
• Integer moments of complex Wishart matrices and Hurwitz numbers
• Scaling in the eigenvalue fluctuations of the empirical correlation matrices
• Wigner-Smith time-delay matrix in chaotic cavities with non-ideal contacts
• Abelian Tensor Models on the Lattice
• Eigenvalue statistics of reduced density matrix during driving and relaxation
• The intermediate level statistics in dynamically localized chaotic eigenstates
• The approach to typicality in many-body quantum systems
• Internal chaos in an open quantum system: From Ericson to conductance fluctuations
• Quantum chaos and operator fidelity metric
• Disordered mesoscopic systems with interactions: induced two-body ensembles and the Hartree-Fock approach
• Localization threshold of Instantaneous Normal Modes from level-spacing statistics
• Quantum Chaos and Quantum Algorithms
• Character Expansions for the Orthogonal and Symplectic Groups
• The Impact of Isospin Breaking on the Distribution of Transition Probabilities
• Nonextensive and superstatistical generalizations of random-matrix theory
• Wigner--Dyson statistics for a class of integrable models
• Level spacing statistics for light in two-dimensional disordered photonic crystals
• Adding and multiplying random matrices: a generalization of Voiculescu's formulae
• Signatures of chaos and thermalization in the dynamics of many-body quantum systems
• Inozemtsev's hyperbolic spin model and its related spin chain
• Chaos in the Bose-Hubbard model and random two-body Hamiltonians
• Signatures of a critical point in the many-body localization transition
• Time-delay matrix, midgap spectral peak, and thermopower of an Andreev billiard
• Between Poisson and GUE statistics: Role of the Breit-Wigner width
• Level statistics of quantum dots coupled to reservoirs
• Mixed Correlation Functions of the Two-Matrix Model
• Exact Density of States for finite Gaussian Random Matrix Ensembles via Supersymmetry
• Experimental investigation of distributions of the off-diagonal elements of the scattering and the Wigner's $\hat{K}$ matrices for networks with broken time reversal invariance
• Semiclassical transport in nearly symmetric quantum dots I: symmetry-breaking in the dot
• RTNI - A symbolic integrator for Haar-random tensor networks
• Resonance width distribution in RMT: Weak coupling regime beyond Porter-Thomas
• Anti-correlation for Conductance Fluctuations in Chaotic Quantum Dots
• Disorder perturbed Flat Bands II: a search for criticality
• Family of solvable generalized random-matrix ensembles with unitary symmetry
• Universal Emergence of PageRank
• Classicality with(out) decoherence: Concepts, relation to Markovianity, and a random matrix theory approach
• Scaling of island size and capture zone distributions in submonolayer growth
• A Solvable Regime of Disorder and Interactions in Ballistic Nanostructures, Part I: Consequences for Coulomb Blockade
• Avoided level crossing statistics in open chaotic billiards
• Spectral correlations of the massive QCD Dirac operator at finite temperature
• Distribution of Off-Diagonal Cross Sections in Quantum Chaotic Scattering: Exact Results and Data Comparison
• A nonrelativistic limit for AdS perturbations
• Anderson Transitions: Criticality, Symmetries, and Topologies
• Quantum resonant systems, integrable and chaotic
• Large N expansion of the 2-matrix model, multicut case
• New universality classes of the non-Hermitian Dirac operator in QCD-like theories
• Mesoscopic competition of superconductivity and ferromagnetism: conductance peak statistics in metallic grains
• Quantization of a billiard model for interacting particles
• The Scale of Inflation in the Landscape
• Massive chiral random matrix ensembles at beta = 1 & 4 : QCD Dirac operator spectra
• Completing the picture for the smallest eigenvalue of real Wishart matrices
• Spectral analysis of Gene co-expression network of Zebrafish
• A Wigner Surmise for Hermitian and Non-Hermitian Chiral Random Matrices
• Efficient quantum transport in disordered interacting many-body networks
• Deformed Gaussian Orthogonal Ensemble description of Small-World networks
• Spectral analysis of finite-time correlation matrices near equilibrium phase transitions
• Crossover from Conserving to Lossy Transport in Circular Random Matrix Ensembles
• The Glass-like Structure of Globular Proteins and the Boson Peak
• Synchronizabilities of Networks: A New index
• Fluctuations of wave functions about their classical average
• Collective Chaos Induced by Structures of Complex Networks
• Eigenvalue Dynamics of a Central Wishart Matrix with Application to MIMO Systems
• Optimal route to quantum chaos in the Bose-Hubbard model
• Power spectrum and form factor in random diagonal matrices and integrable billiards
• Probing the metallic energy spectrum beyond the Thouless energy scale using the singular value decomposition
• Wave chaos in the elastic disc
• The k-Point Random Matrix Kernels Obtained from One-Point Supermatrix Models
• Statistical and dynamical properties of the quantum triangle map
• Quantum chaos in ultracold collisions between Yb(${}^1$S${}_0$) and Yb(${}^3$P${}_2$)
• Quantum chaos in nanoelectromechanical systems
• Emerging spectra of singular correlation matrices under small power-map deformations
• Ordered level spacing probability densities
• Universal Dephasing Mechanism of Many-Body Quantum Chaos
• Crossover in the scaling of island size and capture zone distributions
• Tight-binding billiards
• Fock-space delocalization and the emergence of the Porter-Thomas distribution from dual-unitary dynamics
• Microscopic universality of complex matrix model correlation functions at weak non-Hermiticity
• Linear conductance in Coulomb-blockade quantum dots in the presence of interactions and spin
• First Principles Numerical Demonstration of Emergent Decoherent Histories
• On Random Matrix Averages Involving Half-Integer Powers of GOE Characteristic Polynomials
• Surprising relations between parametric level correlations and fidelity decay
• Random matrix analysis for gene interaction networks in cancer cells
• Krylov Complexity in Mixed Phase Space
• Towards a common thread in Complexity: an accuracy-based approach
• Random-matrix behavior of quantum nonintegrable many-body systems with Dyson's three symmetries
• Universal spectral statistics in Wigner-Dyson, chiral and Andreev star graphs I: construction and numerical results
• Fingerprints of spin-orbital polarons and of their disorder in the photoemission spectra of doped Mott insulators with orbital degeneracy
• Spacing distribution in the 2D Coulomb gas: Surmise and symmetry classes of non-Hermitian random matrices at non-integer $\beta$
• Supersymmetric Virial Expansion for Time-Reversal Invariant Disordered Systems
• Quantum efficiencies in finite disordered networks connected by many-body interactions
• Long-range level correlations in quantum systems with finite Hilbert space dimension
• Random matrix theory within superstatistics
• Spectral statistics of the k-body random-interaction model
• Effects of Topology in the Dirac Spectrum of Staggered Fermions
• Anderson localization in QCD-like theories
• Calabi-Yau CFTs and Random Matrices
• Universal scaling of spin mixing dynamics in a strongly interacting one-dimensional Fermi gas
• BROTOCs and Quantum Information Scrambling at Finite Temperature
• Orthogonality Catastrophe in Parametric Random Matrices
• Non-extensive Random Matrix Theory - A Bridge Connecting Chaotic and Regular Dynamics
• Evolutionary correlation, regime switching, spectral dynamics and optimal trading strategies for cryptocurrencies and equities
• Odd-flavored QCD_3 and Random Matrix Theory
• Quantum work for sudden quenches in Gaussian random Hamiltonians
• Hessian eigenvalue distribution in a random Gaussian landscape
• Influence of Random Bulk Inhomogeneities on Quasi-Optical Cavity Resonator Spectrum
• Ergodicity of the ${\Delta }_3$ statistic and purity of neutron resonance data
• Universal Spectral Correlations in Orthogonal-Unitary and Symplectic-Unitary Crossover Ensembles of Random Matrices
• Polyakov loops and spectral properties of the staggered Dirac operator
• Invariant integration over the orthogonal group
• Propagating wave correlations in complex systems
• Spins coupled to a Spin Bath: From Integrability to Chaos
• Quest for Rare Events in three-dimensional Mesoscopic Disordered Metals
• Spectral fluctuations of tridiagonal random matrices from the beta-Hermite ensemble
• Spectral properties of Dissipative Chaotic Quantum Maps
• Probing the edge between integrability and quantum chaos in interacting few-atom systems
• Spectral correlation functions of the sum of two independent complex Wishart matrices with unequal covariances
• Spectral Domain of Large Nonsymmetric Correlated Wishart Matrices
• $Q$-Laguerre spectral density and quantum chaos in the Wishart-Sachdev-Ye-Kitaev model
• Assortative and disassortative mixing investigated using the spectra of graphs
• Eigenvalue Statistics for Generalized Symmetric and Hermitian Matrices
• Probing quantum chaos in multipartite systems
• Quantum-to-classical crossover for Andreev billiards in a magnetic field
• The chaotic emergence of thermalization in highly excited string decays
• Weak localization of the open kicked rotator
• Comparison of the superbosonization formula and the generalized Hubbard-Stratonovich transformation
• Quasiclassical fluctuations of the superconductor proximity gap in a chaotic system
• Random matrix analysis of deep neural network weight matrices
• Eigenvector statistics of the product of Ginibre matrices
• Transport studies in three-terminal microwave graphs with orthogonal, unitary, and symplectic symmetry
• Random matrix approach to scalar fields on fuzzy spaces
• How T-invariance violation leads to an enhanced backscattering with increasing openness of a wave-chaotic system
• A maximum likelihood method to correct for missed levels based on the ${\Delta }_3(L)$ statistic
• Self-averaging in many-body quantum systems out of equilibrium: Time dependence of distributions
• Sachdev-Ye-Kitaev circuits for braiding and charging Majorana zero modes
• Hilbert-space geometry of random-matrix eigenstates
• Correlated Disorder in the SYK${}_2$ model
• Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature
• Fractional-Power-Law Level-Statistics due to Dynamical Tunneling
• Gross, intermediate and fine structure of nuclear giant resonances: Evidence for doorway states
• Coulomb blockade conductance peak fluctuations in quantum dots and the independent particle model
• Emergence of equilibrium thermodynamic properties in quantum pure states. I. Theory
• Chaos due to symmetry-breaking in deformed Poisson ensemble
• Multiplicative free Convolution and Information-Plus-Noise Type Matrices
• Chaos in a deformed Dicke model
• How many particles make up a chaotic many-body quantum system?
• Scrambling and operator entanglement in local non-Hermitian quantum systems
• Analyzing intramolecular vibrational energy redistribution via the overlap intensity-level velocity correlator
• Universal Braess paradox in open quantum dots
• A universal bound on Quantum Chaos from Random Matrix Theory
• Energy level splitting for weakly interacting bosons in a harmonic trap
• Lyapunov exponents of quantum trajectories beyond continuous measurements
• Level Spacing Distribution of Critical Random Matrix Ensembles
• Universal intensity statistics of multifractal resonance states
• From Chaos to Disorder in Quasi-1D Billiards with Corrugated Surfaces
• Semiclassical universality of parametric spectral correlations
• Quantum Computing Universal Thermalization Dynamics in a (2+1)D Lattice Gauge Theory
• Norm-dependent Random Matrix Ensembles in External Field and Supersymmetry
• Fluctuations in an established transmission in the presence of a complex environment
• Emergence of symmetry from random n-body interactions
• Full density matrix dynamics for large quantum systems: Interactions, Decoherence and Inelastic effects
• Second and Third Order Observables of the Two-Matrix Model
• Spin chains from super-models
• On the Corporate Votes and their relation with Daisy Models
• Using the ${\Delta }_3$ statistic to test for missed levels in mixed sequence neutron resonance data
• Plastic flow of persistent currents in two dimensional strongly interacting systems
• Magnetolocalization in disordered quantum wires
• Long-range correlations in rectangular cavities containing point-like perturbations
• Beyond the Wigner Distribution: Schr{ö}dinger Equations and Terrace Width Distributions
• Randomized Benchmarking in the Analogue Setting
• From Ergodicity to Many-Body Localization in a One-Dimensional Interacting Non-Hermitian Stark System
• Experimental test of the Rosenzweig-Porter model for the transition from Poisson to Gaussian unitary ensemble statistics
• On the large N limit of matrix integrals over the orthogonal group
• Nature of order from random two-body interactions
• Krylov complexity of deformed conformal field theories
• N-point functions in rolling tachyon background
• Stochastic field theory for a Dirac particle propagating in gauge field disorder
• 1/f noise in the Two-Body Random Ensemble
• Dynamics of spectral correlations in the entanglement Hamiltonian of the Aubry-André-Harper model
• Particle Diagrams and Statistics of Many-Body Random Potentials
• Matrix Elements of Random Operators and Discrete Symmetry Breaking in Nuclei
• Statistical properties of spectra in harmonically trapped spin-orbit coupled systems
• Universal spectral statistics of Andreev billiards: semiclassical approach
• Geometric characterization of nodal domains: the area-to-perimeter ratio
• Deviations from Poisson statistics in the spectra of free rectangular thin plates
• Finite Dimensional Statistical Inference
• Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
• Two dimensional kicked quantum Ising model: dynamical phase transitions
• Superposition and higher-order spacing ratios in random matrix theory with application to complex systems
• Level statistics of the one-dimensional ionic Hubbard model
• GUE-chGUE Transition preserving Chirality at finite Matrix Size
• Calculating Floquet states of large quantum systems: A parallelization strategy and its cluster implementation
• Cross-section Fluctuations in Open Microwave Billiards and Quantum Graphs: The Counting-of-Maxima Method Revisited
• Prediction of quantum many-body chaos in protactinium atom
• Brickwall One-Loop Determinant: Spectral Statistics & Krylov Complexity
• Level density for deformations of the Gaussian orthogonal ensemble
• Integrability as an attractor of adiabatic flows
• Approximation formula for complex spacing ratios in the Ginibre ensemble
• Random matrix approach to multivariate categorical data analysis
• Parametric Spectral Statistics in Unitary Random Matrix Ensembles: From Distribution Functions to Intra-Level Correlations
• Coulomb Excitation of Double Giant Dipole Resonances
• Towards a complete mass spectrum of type-IIB flux vacua at large complex structure
• Dissipative Quantum Chaos unveiled by Stochastic Quantum Trajectories
• On the sampling complexity of open quantum systems
• Random cyclic matrices
• Generalization of the Poisson kernel to the superconducting random-matrix ensembles
• The two-body random spin ensemble and a new type of quantum phase transition
• Conductance Peak Density in Nanowires
• Breakdown of the Quantum Distinction of Regular and Chaotic Classical Dynamics in Dissipative Systems
• A Unified Algebraic Approach to Few and Many-Body Correlated Systems
• On Lebesgue Integral Quadrature
• Tower of quantum scars in a partially many-body localized system
• Dynamical typicality of embedded quantum systems
• Entropy and Temperature in finite isolated quantum systems
• Kappa-deformed random-matrix theory based on Kaniadakis statistics
• Disorder information from conductance: a quantum inverse problem
• Burgers-like equation for spontaneous breakdown of the chiral symmetry in QCD
• Glassy Random Matrix Models
• Quantum Chaos for point scatterers on flat tori
• Uniform response theory of non-Hermitian systems: Non-Hermitian physics beyond the exceptional point
• Elastic enhancement factor as a quantum chaos probe
• Analysis of vibrational normal modes for Coulomb clusters
• On the spectral unfolding of chaotic and mixed systems
• Spectral density of a Wishart model for nonsymmetric Correlation Matrices
• Quantum Chaos in the Extended Dicke Model
• Universality of Probability Distributions Among Two-Dimensional Turbulent Flows
• Quantum dot to disordered wire crossover: A complete solution in all length scales for systems with unitary symmetry
• Interplay between the mesoscopic Stoner and Kondo effects in quantum dots
• Level Curvature distribution in a model of two uncoupled chaotic subsystems
• Correlated random band matrices: localization-delocalization transitions
• Spectral densities of Wishart-Levy free stable random matrices: Analytical results and Monte Carlo validation
• Dynamical Signatures of Chaos to Integrability Crossover in $2\times 2$ Generalized Random Matrix Ensembles
• A concise expression for the ODE's of orthogonal polynomials
• Ground State Properties of Many-Body Systems in the Two-Body Random Ensemble and Random Matrix Theory
• Chaotic quantum dots with strongly correlated electrons
• Influence of symmetry breaking on the fluctuation properties of spectra
• Fano interference and cross-section fluctuations in molecular photodissociation
• Pizzetti formulae for Stiefel manifolds and applications
• Scattering a pulse from a chaotic cavity: Transitioning from algebraic to exponential decay
• Character expansion method for supergroups and extended superversions of the Leutwyler-Smilga and Berezin-Karpelevich integrals
• Lyapunov exponents and Kolmogorov-Sinai entropy for a high-dimensional convex billiard
• Enhancement of persistent currents due to confinement in metallic samples
• Matrix oscillator and Calogero-type models
• Dynamical fidelity of a solid-state quantum computation
• Relaxation of Terrace-width Distributions: Physical Information from Fokker-Planck Time
• Semiclassical Prediction of Large Spectral Fluctuations in Interacting Kicked Spin Chains
• Analysis of nucleus-nucleus collisions at high energies and Random Matrix Theory
• Matrix Models
• Distribution of the Smallest Eigenvalue in Complex and Real Correlated Wishart Ensembles
• Loop equations and topological recursion for the arbitrary-$\beta$ two-matrix model
• On the similarity between Nakagami-m Fading distribution and the Gaussian ensembles of random matrix theory
• Collective behavior in the North Rhine-Westphalia motorway network
• Structure of trajectories of complex matrix eigenvalues in the Hermitian-non-Hermitian transition
• Random Matrix Crossovers and Quantum Critical Crossovers for Interacting Electrons in Quantum Dots
• Fluctuations and scaling of inverse participation ratios in random binary resonant composites
• Statistical properties of the localization measure in a finite-dimensional model of the quantum kicked rotator
• New Critical Matrix Models and Generalized Universality
• Sensitivity of the spectral form factor to short-range level statistics
• Random matrix theory for the robustness, quantization, and end-to-end correlation of zero-bias conductance peaks in a class D ensemble
• The Loschmidt Spectral Form Factor
• Permutation symmetry in large N Matrix Quantum Mechanics and Partition Algebras
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Estimating ergodization time of a chaotic many-particle system from a time reversal of equilibrium noise
• Rigidity and Normal Modes in Random Matrix Spectra
• Quantum-classical correspondence of strongly chaotic many-body spin models
• Entanglement phase diagrams from partial transpose moments
• Quantum chaos in interacting Bose-Bose mixtures
• Eigenfunction statistics of Laguerre Brownian ensemble
• Many-Body Localization: Transitions in Spin Models
• Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits
• Dynamical thermalization in Bose-Hubbard systems
• The Correlated Jacobi and the Correlated Cauchy-Lorentz ensembles
• Handbook Article on Applications of Random Matrix Theory to QCD
• Level statistics for nearly integrable systems
• Exact non-Hermitian mobility edges and robust flat bands in two-dimensional Lieb lattices with imaginary quasiperiodic potentials
• Commutative law for products of infinitely large isotropic random matrices
• The Rosenzweig Porter model revisited for the three Wigner Dyson symmetry classes
• Universal eigenvector correlations in quaternionic Ginibre ensembles
• Two simple systems with cold atoms: quantum chaos tests and nonequilibrium dynamics
• Restricted Thermalization for Two Interacting Atoms in a Multimode Harmonic Waveguide
• Time scales in nuclear giant resonances
• On invariant 2x2 β-ensembles of random matrices
• Spectral Crossovers and Universality in Quantum Spin-chains Coupled to Random Fields
• Properties of the eigenmodes and quantum-chaotic scattering in a superconducting microwave Dirac billiard with threefold rotational symmetry
• Diagrammatic Analysis of the Unitary Group for Double Barrier Ballistic Cavities: Equivalence with Circuit Theory
• Large scale behavior of the energy spectra of the quantum random antiferromagnetic Ising chain with mixed transverse and longitudinal fields
• A spectral duality in graphs and microwave networks
• Universal spectral statistics in Wigner-Dyson, chiral and Andreev star graphs II: semiclassical approach
• A geometrical triumvirate of real random matrices
• On the scaling approach to electron-electron interactions in a chaotic quantum dot
• Level statistics and eigenfunctions of pseudointegrable systems: dependence on energy and genus number
• Collective and chaotic motion in self-bound many-body systems
• Permutation invariant Gaussian 2-matrix models
• Cross-Section Fluctuations in Chaotic Scattering Systems
• Classical route to ergodicity and scarring in collective quantum systems
• Power-law decay of the fraction of the mixed eigenstates in kicked top model with mixed-type classical phase space
• Statistics of level spacing of geometric resonances in random binary composites
• Saturation of number variance in embedded random matrix ensembles
• Two transitions in complex eigenvalue statistics: Hermiticity and integrability breaking
• Wormhole calculus without averaging from $O(N{)}^{q-1}$ tensor model
• Analysis of world terror networks from the reduced Google matrix of Wikipedia
• Statistical Properties of Fano Resonances in Atomic and Molecular Photoabsorption
• Finite-Range Coulomb Gas Models of Banded Random Matrices and Quantum Kicked Rotors
• Microwave graphs analogs for the voltage drop in three-terminal devices with orthogonal, unitary and symplectic symmetry
• Finite-Range Coulomb Gas Models II: Applications to Quantum Kicked Rotors and Banded Random Matrices
• Constructing Analytically Tractable Ensembles of Non-Stationary Covariances with an Application to Financial Data
• Quantum Cellular Automata Pseudo-Random Maps
• Porter-Thomas fluctuations in complex quantum systems
• Loschmidt echoes in two-body random matrix ensembles
• Escaping many-body localization in an exact eigenstate
• Fermi's golden rule, the origin and breakdown of Markovian master equations, and the relationship between oscillator baths and the random matrix model
• Interaction Matrix Element Fluctuations in Ballistic Quantum Dots: Random Wave Model
• Replica Symmetry Breaking for the Integrable Two-Site Sachdev-Ye-Kitaev Model
• Spectral properties of cylindrical quasi-optical cavity resonator with random-inhomogeneous side boundary: correlation between dephasing and dissipation
• Transition from pure-state to mixed-state entanglement by random scattering
• Correlation functions and correlation widths in Quantum-Chaotic Scattering for mesoscopic systems and nuclei
• Many-body systems with random spatially local interactions
• A simple approach to the chaos-order contributions in nuclear spectra
• Experimental study of closed and open microwave waveguide graphs with preserved and partially violated time-reversal invariance
• Power spectrum of the circular unitary ensemble
• Spectral statistics of multi-parametric Gaussian ensembles with chiral symmetry
• Bouncing ball orbits and symmetry breaking effects in a three-dimensional chaotic billiard
• Nonlinear Random Matrix Statistics, symmetric functions and hyperdeterminants
• Thouless energy in QCD and effects of diffusion modes on level correlations of Dirac operator
• Fermionic Quantum Gravity
• Experimental investigation of the fluctuations in nonchaotic scattering in microwave billiards
• Topology and chiral random matrix theory at nonzero imaginary chemical potential
• Universal parametric correlations in the classical limit of quantum transport
• Decomposing the Spectral Form Factor
• Parametric spectral correlations in disordered and chaotic structures
• Experimental signatures of Hilbert-space ergodicity: Universal bitstring distributions and applications in noise learning
• Unveiling Order from Chaos by approximate 2-localization of random matrices
• Scattering from Spatially Localized Chaotic and Disordered Systems
• Two-level correlation function of critical random-matrix ensembles
• Random matrix analysis of the monopole strength distribution in ${}^{208}$Pb
• Quantum Chaos and Circuit Parameter Optimization
• Level-spectra Statistics in Planar Fractal Tight-Binding Models
• Complex Systems: From Nuclear Physics to Financial Markets
• Anomalous quantum chaotic behavior in nanoelectromechanical structures
• Skew-orthogonal polynomials, differential systems and random matrix theory
• Semiclassical cross section correlations
• Exact numerical methods for a many-body Wannier Stark system
• Random insights into the complexity of two-dimensional tensor network calculations
• Quantum correlations from Brownian diffusion of chaotic level-spacings
• The asymmetric ABAB matrix model
• Random Matrix Ensembles For Many-Body Quantum Systems
• Entropy of Operator-valued Random Variables: A Variational Principle for Large N Matrix Models
• Quantum mechanics with a time-dependent random unitary Hamiltonian: A perturbative study of the nonlinear Keldysh sigma-model
• Serial Correlation, Periodicity and Scaling of Eigenmodes in an Emerging Market
• Symmetry classes, many-body zero modes, and supersymmetry in the complex Sachdev-Ye-Kitaev model
• Finite-Range Coulomb Gas Models I: Some Analytical Results
• Nonergodic Behavior of Interacting Bosons in Harmonic Traps
• Single-Particle Universality of the Many-Body Spectral Form Factor
• Non-exponential decays and nonextensivity
• Universal S-matrix correlations for complex scattering of many-body wavepackets: theory, simulation and experiment
• Conductance scaling at the band center of wide wires with pure non--diagonal disorder
• Spectral Structure and Many-Body Dynamics of Ultracold Bosons in a Double-Well
• Statistical and dynamical aspects of quantum chaos in a kicked Bose-Hubbard dimer
• Macroscopic quantum superpositions in highly-excited strongly-interacting many-body systems
• A singular-potential random matrix model arising in mean-field glassy systems
• Quantum Charge Transport and Conformational Dynamics of Macromolecules
• Supersymmetry and Nuclear Pairing
• Random matrix models for phase diagrams
• Wigner-Smith matrix, exponential functional of the matrix Brownian motion and matrix Dufresne identity
• Collective versus Single--Particle Motion in Quantum Many--Body Systems: Spreading and its Semiclassical Interpretation
• The integrated density of states of the random graph Laplacian
• Distribution of the Wigner-Smith time-delay matrix for chaotic cavities with absorption and coupled Coulomb gases
• Interaction of Regular and Chaotic States
• Spectral statistics of the quenched normal modes of a network-forming molecular liquid
• Effects of Fermi energy, dot size and leads width on weak localization in chaotic quantum dots
• Chaos in fermionic many-body systems and the metal-insulator transition
• Nearest-Neighbor Distributions and Tunneling Splittings in Interacting Many-Body Two-Level Boson Systems
• Multi-trace Correlators in the SYK Model and Non-geometric Wormholes
• Test for a universal behavior of Dirac eigenvalues in the complex Langevin method
• Random-Matrix Ensembles for Semi-Separable Systems
• A Universal Interacting Crossover Regime in Two-Dimensional Quantum Dots
• $1/f^{\alpha }$ noise and integrable systems
• Delocalization of tightly bound excitons in disordered systems
• Quantum stress in chaotic billiards
• A smooth transition towards a Tracy-Widom distribution for the largest eigenvalue of interacting $k$-body fermionic Embedded Gaussian Ensembles
• Superstatistical random-matrix-theory approach to transition intensities in mixed systems
• On the Efetov-Wegner terms by diagonalizing a Hermitian supermatrix
• Spacing ratio statistics of multiplex directed networks
• Mean-field criticality explained by random matrices theory
• Development of effective stochastic potential method using random matrix theory for efficient conformational sampling of semiconductor nanoparticles at non-zero temperatures
• Photonuclear Reactions induced by Intense Short Laser Pulses
• Stochastic mean-field dynamics for fermions in the weak coupling limit
• Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Determinants with Parametric Dependence
• Random Matrix Theory and Analysis of Nucleus-Nucleus Collision at High Energies
• Statistical analysis of chiral structured ensembles: role of matrix constraints
• Ground-state energy distribution of disordered many-body quantum systems
• Level-spacing distributions of the Gaussian unitary random matrix ensemble
• Scaling of the Reduced Energy Spectrum of Random Matrix Ensemble
• Random Matrix Theory and QCD at nonzero chemical potential
• Pseudo-random operators of the circular ensembles
• Winding Number Statistics of a Parametric Chiral Unitary Random Matrix Ensemble
• On the multifractal dimensions and statistical properties of critical ensembles characterized by the three classical Wigner-Dyson symmetry classes
• Density of proper delay times in chaotic and integrable quantum billiards
• Total Reaction Cross Section in an Isospin-Dependent Quantum Molecular Dynamics (IDQMD) Model
• Integration over matrix spaces with unique invariant measures
• Saturation of the width of the strength function
• Comparative Microscopic Study of Entropies and their Production
• Quantum Chaos in Random Ising Networks
• Color confinement, chiral symmetry breaking, and catalytic effect induced by monopole and instanton creations
• Invariant and Group Theoretical Integrations over the U(n) Group
• Random matrix model of Kolmogorov-Zakharov turbulence
• Statistics of Wave Functions in Disordered Systems with Applications to Coulomb Blockade Peak Spacing
• Statistical Properties of Charmonium Spectrum and a New Mechanism of J/ψSuppression
• Rotationally invariant ensembles of integrable matrices
• Particle diagrams and embedded many-body random matrix theory
• Parametric level statistics in random matrix theory: Exact solution
• Spectral-fluctuations test of the quark-model baryon spectrum
• Power law eigenvalue density, scaling and critical random matrix ensembles
• Territorial behaviour of buzzards versus random matrix spacing distributions
• Reaction matrix for Dirichlet billiards with attached waveguides
• Universal principles of moiré band structures
• Extended states with Poisson spectral statistics
• Open quantum systems and Random Matrix Theory
• Level Repulsion in Constrained Gaussian Random-Matrix Ensembles
• Ergodicity of Random-Matrix Theories: The Unitary Case
• One plus two-body random matrix ensembles with parity: Density of states and parity ratios
• Approximate treatment of noncommutative curvature in quartic matrix model
• Electronic localization at mesoscopic length scales: different definitions of localization and contact effects in a heuristic DNA model
• Unconventional edge states in a two-leg ladder
• Does localization occur in a hierarchical random-matrix model for many-body states?
• Exact Coupling Coefficient Distribution in the Doorway Mechanism
• Higher-order gap ratios of singular values in open quantum systems
• Sachdev-Ye-Kitaev model: Non-self-averaging properties of the energy spectrum
• Dynamical Detection of Level Repulsion in the One-Particle Aubry-André Model
• Quantum phase crossover and chaos in generalized Jahn-Teller lattice model
• Spectrum statistics in the integrable Lieb-Liniger model
• Scattering Statistics in Nonlinear Wave Chaotic Systems
• An Exact Link between Nonlocal Nonstabilizerness and Operator Entanglement
• Nonhermitian Supersymmetric Partition Functions: the case of one bosonic flavor
• Spontaneous back-pain alters randomness in functional connections in large scale brain networks: A random matrix perspective
• Spectral form factor and energy correlations in banded random matrices
• Correlation and entanglement of two-component Bose-Einstein condensates in a double well
• Double scaling limit for matrix models with non analytic potentials
• Analysis of chaos and regularity in the open Dicke model
• Random matrix description of decaying quantum systems
• Exploring quantum ergodicity of unitary evolution through the Krylov approach
• Projected ensemble in a system with conserved charges with local support
• Digital Quantum Simulation, Learning of the Floquet Hamiltonian, and Quantum Chaos of the Kicked Top
• Universality of a family of Random Matrix Ensembles with logarithmic soft-confinement potentials
• Energy localization in two chaotically coupled systems
• A tale of two localizations: coexistence of flat bands and Anderson localization in a photonics-inspired amorphous system
• Monopole and instanton effects in QCD
• Spectrum of the SU(3) Dirac operator on the lattice: Transition from random matrix theory to chiral perturbation theory
• Random matrix ensembles: Wang-Landau algorithm for spectral densities
• Linear level repulsions near exceptional points of non-Hermitian systems
• Wavefunction structure in quantum many-fermion systems with $k$-body interactions: conditional $q$-normal form of strength functions
• Closed and open superconducting microwave waveguide networks as a model for quantum graphs
• The decay of photoexcited quantum systems: a description within the statistical scattering model
• Energy Transfer in Random-Matrix ensembles of Floquet Hamiltonians
• Entanglement Properties of SU(2) Gauge Theory
• Fidelity decay in interacting two-level boson systems: Freezing and revivals
• Parametric correlations versus fidelity decay: the symmetry breaking case
• Symmetry protected entanglement in random mixed states
• Quaternionic R transform and non-hermitian random matrices
• The coexistence of superconductivity and ferromagnetism in nano-scale metallic grains
• A new type of critical behaviour in random matrix models
• Gaussian ensembles distributions from mixing quantum systems
• Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
• Early-Time and Late-Time Quantum Chaos
• Heavy-tailed chiral random matrix theory
• Level Spacings in Random Matrix Theory and Coulomb Blockade Peaks in Quantum Dots
• Phenomenological model for symmetry breaking in chaotic system
• Wave packet construction in three-dimensional quantum billiards: Visualizing the closed orbit, collapse and revival of wave packets in the cubical billiard
• Spectral Statistics and Dynamical Localization: sharp transition in a generalized Sinai billiard
• Identifying quantum many-body integrability and chaos using eigenstates trace distances
• A trivial observation on time reversal in random matrix theory
• Nearest neighbour spacing distribution of basis in some intron-less and intron-containing DNA sequences
• Correlations in the cotunneling regime of a quantum dot
• Scattering and transport properties of the three classical Wigner-Dyson ensembles at the Anderson transition
• Statistics of Reflection and Transmission in the Strong Overlap Regime of Fully Chaotic Reverberation Chambers
• Perturbative Treatment of Symmetry Breaking Within Random Matrix Theory
• Analyzing symmetry breaking within a chaotic quantum system via Bayesian inference
• A Generalized Circuit for the Hamiltonian Dynamics Through the Truncated Series
• Investigating interaction-induced chaos using time-dependent density functional theory
• Level correlations of the CMB temperature angular power spectrum
• Linguistic Matrix Theory
• Hidden Modes in Open Disordered Media: Analytical, Numerical, and Experimental Results
• Coupled unidirectional chaotic microwave graphs
• Enhanced Quantum Transport in Multiplex Networks
• On Universality of Smoothed Eigenvalue Density of Large Random Matrices
• General truncated linear statistics for the top eigenvalues of random matrices
• Correlations in eigenfunctions of quantum chaotic systems with sparse Hamiltonian matrices
• Rotationally invariant family of Lévy like random matrix ensembles
• Coherent States and Geometric Phases in Calogero-Sutherland Model
• Unitary matrix integral for QCD with real quarks and the GOE-GUE crossover
• Statistics of a simple transmission mode on a lossy chaotic background
• Hammerstein equations for sparse random matrices
• Quantum Chaos Versus Classical Chaos: Why is Quantum Chaos Weaker?
• Long-time signatures of short-time dynamics in decaying quantum-chaotic systems
• Multifractal analysis of the electronic states in the Fibonacci superlattice under weak electric fields
• Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap
• Analysis of the QCD Kondo phase using random matrices
• Parametric Level Correlations in Random-Matrix Models
• Fluctuations in the Statistical Model of Relativistic Heavy Ion Collisions
• Quantum Chaos, Thermodynamics and Black Hole Microstates in the mass deformed SYK model
• Free Probability approach to spectral and operator statistics in Rosenzweig-Porter random matrix ensembles
• Consecutive level spacings in the chiral Gaussian unitary ensemble: From the hard and soft edge to the bulk
• Antiscarring from eigenstate stacking in a chaotic spinor condensate
• Correlations in optical phonon spectra of complex solids
• Effect of phase relaxation on quantum superpositions in complex collisions
• Dynamical decoherence of a qubit coupled to a quantum dot or the SYK black hole
• Information Propagation Analysis of Social Network Using the Universality of Random Matrix
• On the critical level-curvature distribution
• Envelope and phase distribution of a resonance transmission through a complex environment
• Deviations from the Porter-Thomas Distribution due to Nonstatistical $\gamma$ Decay below the ${}^{150}$Nd Neutron Separation Threshold
• Signatures of spectral crossovers in the short- and long-range spectral correlations of a disordered spin-chain with Kramers degeneracy
• Theory of Quantum Work in Metallic Grains
• Detailed balance as a quantum-group symmetry of Kraus operators
• A Diagrammatic Equation for Oriented Planar Graphs
• Structural Stability Hypothesis of Dual Unitary Quantum Chaos
• Nonequilibrium many-body quantum dynamics: from full random matrices to real systems
• Universal spectral correlations in ensembles of random normal matrices
• Critical Level-Spacing Distribution for General Boundary Conditions
• Spectral properties of disordered fully-connected graphs
• Quantum fluctuations and random matrix theory
• The transition from non-Markovian to Markovian dynamics for generic environments
• Spectral density of the non-central correlated Wishart ensembles
• A Supersymmetry approach to billiards with randomly distributed scatterers
• Characterizing quantum chaoticity of kicked spin chains
• Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Parametric Determinants in the Orthogonal Case
• Fat-tailed distribution derived from first eigenvector of symmetric random sparse matrix
• Evaluating the statistical similarity of neural network activity and connectivity via eigenvector angles
• Exact Multivariate Amplitude Distributions for Non-Stationary Gaussian or Algebraic Fluctuations of Covariances or Correlations
• Relativistic Cooper pairing in the microscopic limit of chiral random matrix theory
• Spectral and Strength Statistics of Chiral Brownian Ensemble
• Hilbert space average of transition probabilities
• Sparse Random Block Matrices
• Markovian and non-Markovian dynamics induced by a generic environment
• Quantum Joule Expansion of One-Dimensional Systems
• A new strategy for directly calculating the minimum eigenvector of matrices without diagonalization
• Chaos enhancement in large-spin chains
• Machine learning, quantum chaos, and pseudorandom evolution
• Universal scaling of higher-order spacing ratios in Gaussian random matrices
• From Dyson Models to Many-Body Quantum Chaos
• Random Lindblad operators obeying detailed balance
• Sixfold Way of Traversable Wormholes in the Sachdev-Ye-Kitaev Model
• Time-reversal Invariance Violation and Quantum Chaos Induced by Magnetization in Ferrite-Loaded Resonators
• Delay times in chaotic quantum systems
• Thermalisation of a quantum system from first principles
• Experimental Realization of Anti-Unitary Wave-Chaotic Photonic Topological Insulator Graphs Showing Kramers Degeneracy and Symplectic Ensemble Statistics
• No-resonance conditions, random matrices, and quantum chaotic models
• Dequantization via quantum channels
• Interactions Between Different Birds of Prey as a Random Point Process
• Full counting statistics of random transition-rate matrices
• The anomalous Floquet Anderson insulator in a continuously driven optical lattice
• Superelliptical laws for complex networks
• Disorder-free Sachdev-Ye-Kitaev models: Integrability and a precursor of chaos
• Universal correlations in chaotic many-body quantum states: Fock-space formulation of Berrys random wave model
• One-dimensional ${\mathbb{Z}}_4$ topological superconductor
• Statistical analysis of the figure of merit of a two-level thermoelectric system: a random matrix approach
• Analysis of symmetry breaking in quartz blocks using superstatistical random matrix theory
• Quantum mereology and subsystems from the spectrum
• Suppressing chaos with mixed superconducting qubit devices
• Survival Probability of a Doorway State in regular and chaotic environments
• Ballistic Quantum Dots with Disorder and Interactions: A numerical study on the Robnik-Berry billiard
• A Supersymmetry Approach to Billiards with Randomly Distributed Scatterers II: Correlations
• Linear Algebra with Disordered Sparse Matrices that have Spatial Structure: Theory and Computation
• Classical trajectories in quantum transport at the band center of bipartite lattices with or without vacancies
• Chaos and rotational damping in particle-rotor model
• Fluctuations and correlations in scattering on a resonance coupled to a chaotic background
• Energy level statistics in weakly disordered systems: from quantum to diffusive regime
• One-loop effective action and the Riemann Zeros
• Scrambling of Hartree-Fock Levels as a universal Brownian-Motion Process
• One-parameter superscaling in three dimensions
• Universality in the vibrational spectra of weakly-disordered two-dimensional clusters
• Chaotic scattering through coupled cavities
• Distribution function of the local density of states of a one-channel weakly disordered ring in an external magnetic field
• Random-Matrix Approach to RPA equations. I
• Statistics of Wave Functions in Coupled Chaotic Systems
• Analysis of Inter-Domain Traffic Correlations: Random Matrix Theory Approach
• Correspondence principle, dissipation, and Ginibre ensemble
• Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos
• Correlations and fluctuations of matrix elements and cross sections
• Anomalous energy correlations and spectral form factor in the nonergodic phase of the $\beta$-ensemble
• Level dynamics and avoided level crossings in driven disordered quantum dots
• Distribution law of the Dirac eigenmodes in QCD
• Random matrix approach in search for weak signals immersed in background noise
• Patterned Random Matrices: deviations from universality
• Homolumo Gap from Dynamical Energy Levels
• Equilibration properties of small quantum systems: further examples
• Benchmarking quantum chaos from geometric complexity
• Non-Abelian holonomy of Majorana zero modes coupled to a chaotic quantum dot
• Establishing simple relationship between eigenvector and matrix elements
• Coexistence of ergodic and non-ergodic behavior and level spacing statistics in a one-dimensional model of a flat band superconductor
• Localization in the Kicked Ising Chain
• Multivariate Distributions in Non-Stationary Complex Systems I: Random Matrix Model and Formulae for Data Analysis
• Power-law banded random matrix ensemble as a model for quantum many-body Hamiltonians
• Experimental study of the distributions of off-diagonal scattering-matrix elements of quantum graphs with symplectic symmetry
• Nonrelativistic Banks-Casher relation and random matrix theory for multi-component fermionic superfluids
• Distribution of the spacing between two adjacent avoided crossings
• QCD Dirac spectrum and components of the gauge field
• Unfolding a composed ensemble of energy spectra using singular value decomposition
• Asymptotic Coincidence of the Statistics for Degenerate and Non-Degenerate Correlated Real Wishart Ensembles
• Eigenlevel statistics of the quantum adiabatic algorithm
• Statistics of local level spacings in single- and many-body quantum chaos
• Spacing Statistics of Energy Spectra: Random Matrices, Black Hole Thermalization, and Echoes
• Counting Multiple Solutions in Glassy Random Matrix Models
• Spectral statistics of interpolating random circulant matrix and its applications to random circulant graphs
• Wavefront shaping through a free-form scattering object
• Fractal Structure of Random Matrices
• Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling
• Level spacing distribution of localized phases induced by quasiperiodic potentials
• Generating Quantum Reservoir State Representations with Random Matrices
• Numerical Simulation of GUE Two-Point Correlation and Cluster Functions
• Spectral Correlations in the Crossover Transition from a Superposition of Harmonic Oscillators to the Gaussian Unitary Ensemble
• Deviations from random matrix entanglement statistics for kicked quantum chaotic spin-$1/2$ chains
• Phase transitions and random matrices
• New approach to periodic orbit theory of spectral correlations
• Random Matrix Model for Wilson Fermions on the Lattice
• Response Function of an Irregular Oscillator
• Classical Theory of Quantum Work Distribution in Chaotic Fermion Systems
• Superdiffusive quantum work and adiabatic quantum evolution in finite temperature chaotic Fermi systems
• Asymptotic properties of resolvents of large dilute Wigner matrices
• A generalized Lieb's theorem and its applications to spectrum estimates for a sum of random matrices
• Scattering approach to fidelity decay in closed systems and parametric level correlations
• Surprising Pfaffian factorizations in Random Matrix Theory with Dyson index $\beta =2$
• Transition to chaos in extended systems and their quantum impurity models
• Developments in Random Matrix Theory
• Quantum Chaos in the Yang-Mills-Higgs System at Finite Temperature
• Equilibration and Typicality in Quantum Processes
• Spectral-statistics properties of the experimental and theoretical light meson spectra
• Statistical Topology -- Distribution and Density Correlations of Winding Numbers in Chiral Systems
• Spectral-statistics properties of the experimental and theoretical light baryon and meson spectra
• Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
• Coexistence of Anderson Localization and Quantum Scarring in Two Dimensions
• Complexity of Quadratic Quantum Chaos
• Chaos and isospin symmetry breaking in rotational nuclei
• Hierarchy of timescales in a disordered spin-$1/2$ XX ladder
• From Confinement to Chaos in AdS/CFT Correspondence via Non-equilibrium Local States
• Effect of resonances on the transport properties of two-dimensional disordered systems
• Universality of S-matrix correlations for deterministic plus random Hamiltonians
• Edge of Many-Body Quantum Chaos in Quantum Reservoir Computing
• Loss of integrability in a system with two-photon interactions
• Interaction Matrix Element Fluctuations in Ballistic Quantum Dots: Dynamical Effects
• Partial thermalisation of a two-state system coupled to a finite quantum bath
• Quantum-classical transition for an analog of double-slit experiment in complex collisions: Dynamical decoherence in quantum many-body systems
• Characterization of the chaotic phase in the tilted Bose-Hubbard model
• Symmetry classification correspondence between quadratic Lindbladians and their steady states
• Ensemble-averaged mean-field many-body level density: an indicator of integrable versus chaotic single-particle dynamics
• Fourier's Law for Quasi One--Dimensional Chaotic Quantum Systems
• Spatial Form Factor for Point Patterns: Poisson Point Process, Coulomb Gas, and Vortex Statistics
• Appearance of Random Matrix Theory in Deep Learning
• Holographic nature of critical quantum states of proteins
• Relaxation Fluctuations of Correlation Functions: Spin and Random Matrix Models
• Spectral Density Scaling of Fluctuating Interfaces
• Generalised Freud's equation and level densities with polynomial potential
• Distribution of lowest eigenvalue in $k$-body bosonic random matrix ensembles
• Haldane graphene billiards versus relativistic neutrino billiards
• Screwon spectral statistics and dispersion relation in the quantum Rajeev-Ranken model
• The Wigner distribution and 2D classical maps
• Distribution of local density of states in superstatistical random matrix theory
• Slow cross-symmetry phase relaxation in complex collisions
• COVID anomaly in the correlation analysis of S&P 500 market states
• Spectral properties of unimodular lattice triangulations
• Spin-orbit scattering in superconducting nanoparticles
• Delayed Correlations in Inter-Domain Network Traffic
• Quantum chaos in a harmonic waveguide with scatterers
• One, Two, and $n$ Qubit Decoherence
• Collectivity and Periodic Orbits in a Chain of Interacting, Kicked Spins
• Semicircle Law of Vandermonde Ensemble
• Universal Broadening of Zero Modes: A General Framework and Identification
• Worldwide bilateral geopolitical interactions network inferred from national disciplinary profiles
• Onset of universality in the dynamical mixing of a pure state
• Ergodic Properties of Local Spectral Density for a Conservative System of Coupled Quantum States
• Chaotic behavior of the Compound Nucleus, open Quantum Dots and other nanostructures
• Jastrow-like ground states for quantum many-body potentials with near-neighbors interactions
• Crystalline Spectral Form Factors
• Random matrix theory analysis of a temperature-related transformation in statistics of Fano-Feshbach resonances in Thulium atoms
• Limitations of SVD-Based Diagnostics for Non-Hermitian Many-Body Localization with Time-Reversal Symmetry
• Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border
• Random Matrix Application to Correlations Among Volatility of Assets
• Random Matrices and the Free Energy of Ising-Like Models with Disorder
• Persistent currents in diffusive metallic cavities: Large values and anomalous scaling with disorder
• Classification of quantum states of light using random measurements through a multimode fiber
• Universality Emerging in a Universality: Derivation of the Ericson Transition in Stochastic Quantum Scattering and Experimental Validation
• Comparing lattice Dirac operators with Random Matrix Theory
• Dynamical Behaviour of Density Correlations Across the Chaotic Phase for Interacting Bosons
• A Random Matrix Approach to Credit Risk
• Local Spectral Density for a Periodically Driven System of Coupled Quantum States with Strong Imperfection in Unperturbed Energies
• Invariant sums of random matrices and the onset of level repulsion
• Non-Hermitian tridiagonal random matrices and returns to the origin of a random walk
• A class of 2x2 correlated random-matrix models with Brody spacing distribution
• q-Gaussian Crossover in Overlap Spectra towards 3D Edwards-Anderson Criticality
• Quantum chaos and regularity in ${\Phi }^4$ theory
• Volume-law entanglement entropy of typical pure quantum states
• Thermodynamics of protein folding: a random matrix formulation
• Enhancement in Breaking of Time-reversal Invariance in the Quantum Kicked Rotor
• How to compute Selberg-like integrals?
• Equilibration of Non-interacting Photons and Quantum Signatures of Chaos
• Supercell symmetry modified spectral statistics of Kramers-Weyl fermions
• Dissipative quantum dynamics, phase transitions and non-Hermitian random matrices
• Parametric Number Covariance in Quantum Chaotic Spectra
• A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics
• Out-of-Time-Order-Correlation in perturbed quantum wells
• The renormalization group for interacting fermions: from Fermi liquids to quantum dots
• Exact generating function of a zero-dimensional supersymmetric non-linear sigma model
• The Dynamics of Quantum Correlations of Two Qubits in a Common Environment Modeled by Large Random Matrices
• Finite-difference distributions for the Ginibre ensemble
• Quantum Lyapunov exponents and complex spacing ratios: two measures of Dissipative Quantum Chaos
• Monopoles, spectra of overlap fermions, and eta-prime meson in external magnetic fields
• Magnetotunneling spectroscopy of mesoscopic correlations in two-dimensional electron systems
• Solvable random matrix ensemble with a logarithmic weakly confining potential
• Random matrices applications to soft spectra
• The Statistics of Spectral Shifts due to Finite Rank Perturbations
• Orders of chaoticity of unitaries
• Distribution of the Dirac modes in QCD
• Surmise for random matrices' level spacing distributions beyond nearest-neighbors
• Pinpointing Triple Point of Noncommutative Matrix Model with Curvature
• Eigenvalue-flipping Algorithm for Matrix Monte Carlo
• Fidelity plateaus from correlated noise in isolated few-level quantum systems
• On the Evaluation of the Eigendecomposition of the Airy Integral Operator
• Effective Field Theories for Electrons in Crystalline Structures
• Spectral analysis for gene communities in cancer cells
• Comparative Study of Indicators of Chaos in the Closed and Open Dicke Model
• Large-N Limit as a Classical Limit: Baryon in Two-Dimensional QCD and Multi-Matrix Models
• Winding Number Statistics for Chiral Random Matrices: Universal Correlations and Statistical Moments in the Unitary Case
• The universality class of the first levels in low-dimensional gravity
• Parity Effects in Eigenvalue Correlators, Parametric and Crossover Correlators in Random Matrix Models: Application to Mesoscopic systems
• Medium/high field magnetoconductance in chaotic quantum dots
• Eigenstate Thermalization Hypothesis and Random Matrix Theory Universality in Few-Body Systems
• On the quantum behavior and clustering properties of correlated financial portfolios
• Random Matrix Analysis of Multiplex Networks
• Unsupervised Techniques to Detect Quantum Chaos
• From Random Matrices to Quasiperiodic Jacobi Matrices via Orthogonal Polynomials
• Universal transition of spectral fluctuation in particle-hole symmetric system
• A mathematical formulation of the Mahaux-Weidenmüller formula for the scattering matrix
• Persistent currents in mesoscopic cavities with surface roughness
• Diffuse field cross-correlations: scattering theory and electromagnetic experiments
• Accuracy and precision of the estimation of the number of missing levels in chaotic spectra using long-range correlations
• Emergence of world-stock-market network
• Universal Frequency Correlations and Recurrence Statistics of Complex Impedance Matrices
• Spectral statistics and energy-gap scaling in $k-$local spin Hamiltonians
• Density matrix of chaotic quantum systems
• Diffraction induced quantum chaos in a one-dimensional Bose gas