Tau-function theory of chaotic quantum transport with \(\beta = 1, 2, 4\)
From MaRDI portal
Publication:380336
DOI10.1007/s00220-013-1813-zzbMath1280.81056arXiv1206.4584OpenAlexW3098161899MaRDI QIDQ380336
Nicholas J. Simm, Francesco Mezzadri
Publication date: 13 November 2013
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.4584
Quantum chaos (81Q50) Transport processes in time-dependent statistical mechanics (82C70) Quantum dots, waveguides, ratchets, etc. (81Q37)
Related Items (26)
The correlated Jacobi and the correlated Cauchy-Lorentz ensembles ⋮ Painlevé V and the Hankel determinant for a singularly perturbed Jacobi weight ⋮ Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities ⋮ Moments of the position of the maximum for GUE characteristic polynomials and for log-correlated Gaussian processes ⋮ Truncated linear statistics associated with the eigenvalues of random matrices. II: Partial sums over proper time delays for chaotic quantum dots ⋮ On a distinguished family of random variables and Painlevé equations ⋮ Spectral statistics of the uni-modular ensemble ⋮ Expanding the Fourier transform of the scaled circular Jacobi \(\beta\) ensemble density ⋮ Characteristic polynomials of random truncations: Moments, duality and asymptotics ⋮ Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble ⋮ Combinatorial theory of the semiclassical evaluation of transport moments II: Algorithmic approach for moment generating functions ⋮ Recursion for the smallest eigenvalue density of \(\beta \)-Wishart-Laguerre ensemble ⋮ Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight ⋮ Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlevé XXXIV equations ⋮ Integer moments of complex Wishart matrices and Hurwitz numbers ⋮ Jacobi ensemble, Hurwitz numbers and Wilson polynomials ⋮ A matrix model with a singular weight and Painlevé III ⋮ Efficient semiclassical approach for time delays ⋮ Moments of random matrices and hypergeometric orthogonal polynomials ⋮ Large-N expansion for the time-delay matrix of ballistic chaotic cavities ⋮ Wigner–Smith time-delay matrix in chaotic cavities with non-ideal contacts ⋮ Applications in random matrix theory of a PIII′ τ-function sequence from Okamoto’s Hamiltonian formulation ⋮ Statistics of time delay and scattering correlation functions in chaotic systems. I. Random matrix theory ⋮ Distribution of the Wigner–Smith time-delay matrix for chaotic cavities with absorption and coupled Coulomb gases ⋮ Wigner–Smith matrix, exponential functional of the matrix Brownian motion and matrix Dufresne identity ⋮ Integrable aspects of universal quantum transport in chaotic cavities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Expansion of a ratio of hypergeometric functions of two variables in branching continued fractions
- On random matrices from the compact classical groups
- Aspects of uniqueness in thermoelasticity of micropolar bodies with internal state variables
- Random matrix ensembles associated to compact symmetric spaces
- Pfaff \(\tau\)-functions
- Toda versus Pfaff lattice and related polynomials.
- Time delay correlations in chaotic scattering: Random matrix approach
- Matrix integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials
- Asymptotic expansion of \(\beta \) matrix models in the one-cut regime
- On fluctuations of eigenvalues of random Hermitian matrices.
- Random matrices, Virasoro algebras, and noncommutative KP.
- Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I.
- Integrals over classical groups, random permutations, Toda and Toeplitz lattices
- On the semiclassical theory for universal transmission fluctuations in chaotic systems: the importance of unitarity
- Linear functionals of eigenvalues of random matrices
- Moments of the transmission eigenvalues, proper delay times, and random matrix theory. I
- Transport moments beyond the leading order
- Moments of the transmission eigenvalues, proper delay times and random matrix theory II
- An Entire Function Defined by a Nonlinear Recurrence Relation
- Asymptotics of the Instantons of Painlevé I
- Semiclassical prediction for shot noise in chaotic cavities
- Statistics of thermal to shot noise crossover in chaotic cavities
- Moments of the Wigner delay times
- Evenness symmetry and inter-relationships between gap probabilities in random matrix theory
- Global spectrum fluctuations for the β-Hermite and β-Laguerre ensembles via matrix models
- Full counting statistics of chaotic cavities from classical action correlations
- Multiple-antenna capacity in the low-power regime
- Conductance distributions in chaotic mesoscopic cavities
- Semiclassical expansion of parametric correlation functions of the quantum time delay
- Painlevé Classification of a Class of Differential Equations of the Second Order and Second Degree
- Quantum time delay in chaotic scattering: a semiclassical approach
- On the Eigenvalues of Random Matrices
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance
- Semiclassical theory of spectral rigidity
- Open orbits and the semiclassical dwell time
- Random-matrix description of chaotic scattering: Semiclassical approach
- Gap probabilities for edge intervals in finite Gaussian and Jacobi unitary matrix ensembles
- Chazy Classes IX–XI Of Third‐Order Differential Equations
- On Boutroux's Tritronquée Solutions of the First Painlevé Equation
- GLOBAL FLUCTUATIONS FOR LINEAR STATISTICS OF β-JACOBI ENSEMBLES
- Riemannian symmetric superspaces and their origin in random-matrix theory
- Jacobi crossover ensembles of random matrices and statistics of transmission eigenvalues
- Moments of Wishart-Laguerre and Jacobi ensembles of random matrices: application to the quantum transport problem in chaotic cavities
- Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
- Quantum conductance problems and the Jacobi ensemble
- Random matrices, vertex operators and the Virasoro algebra
- Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum.
This page was built for publication: Tau-function theory of chaotic quantum transport with \(\beta = 1, 2, 4\)
