Review of thek-body embedded ensembles of Gaussian random matrices

DOI10.1088/0305-4470/36/12/340zbMath1041.82005arXivcond-mat/0207656OpenAlexW3105382751MaRDI QIDQ4443917

Luis Benet, Hans A. Weidenmüller

Publication date: 19 January 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0207656

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Probability distributions: general theory (60E05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Quantum equilibrium statistical mechanics (general) (82B10) Random matrices (algebraic aspects) (15B52)

Related Items

Random matrix theory for transition strength densities in finite quantum systems: results from embedded unitary ensembles ⋮ Large \(N\) expansion of the moments and free energy of Sachdev-Ye-Kitaev model, and the enumeration of intersection graphs ⋮ Exact moments of the Sachdev-Ye-Kitaev model up to order \(1/N^2\) ⋮ Quantum efficiencies in finite disordered networks connected by many‐body interactions ⋮ Spectral properties of embedded Gaussian unitary ensemble of random matrices with Wigner's \(\mathrm{SU}(4)\) symmetry ⋮ A smooth transition towards a Tracy–Widom distribution for the largest eigenvalue of interacting k-body fermionic embedded Gaussian ensembles ⋮ Diluted banded random matrices: scaling behavior of eigenfunction and spectral properties ⋮ Complete random matrix classification of SYK models with \( \mathcal{N} = 0, 1\) and 2 supersymmetry ⋮ Spectral fluctuations in the Sachdev-Ye-Kitaev model ⋮ GENERALIZED RANDOM MATRIX THEORY: A MATHEMATICAL PROBE FOR COMPLEXITY ⋮ SU ( N ) Wigner–Racah algebra for the matrix of second moments of embedded Gaussian unitary ensemble of random matrices ⋮ KAPPA-DEFORMED RANDOM-MATRIX THEORY BASED ON KANIADAKIS STATISTICS ⋮ Black holes, complexity and quantum chaos ⋮ Particle diagrams and statistics of many-body random potentials ⋮ Colloquium: Random matrices and chaos in nuclear spectra ⋮ Random matrix model of adiabatic quantum computing ⋮ Spectral statistics of chaotic many-body systems ⋮ Wavefunction structure in quantum many-fermion systems with k-body interactions: conditional q-normal form of strength functions ⋮ Embedded Gaussian unitary ensembles with U(Ω)⊗SU(r) embedding generated by random two-body interactions with SU(r) symmetry