Resonances in a single-lead reflection from a disordered medium: \(\sigma\)-model approach
DOI10.1016/j.aop.2023.169568arXiv2211.03376MaRDI QIDQ6143411
Yan. V. Fyodorov, Mikhail A. Skvortsov, Konstantin S. Tikhonov
Publication date: 5 January 2024
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.03376
Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Pole and zero placement problems (93B55) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Symmetry breaking in quantum theory (81R40) Antennas, waveguides in optics and electromagnetic theory (78A50) Supersymmetry and quantum mechanics (81Q60) Perturbations in context of PDEs (35B20) Resonance in context of PDEs (35B34) Other generalizations (nonlinear potential theory, etc.) (31C45) Nonlinear resonances for nonlinear problems in mechanics (70K30) Statistical mechanics, structure of matter (82-XX)
Cites Work
- Unnamed Item
- Resonances for large one-dimensional ``ergodic systems
- Effective non-Hermitian Hamiltonians for studying resonance statistics in open disordered systems
- Distribution of resonances for open quantum maps
- Wannier-Stark resonances in optical and semiconductor superlattices
- Universality for 1d random band matrices: sigma-model approximation
- Universality for 1d random band matrices
- Rank one non-Hermitian perturbations of Hermitian \(\beta \)-ensembles of random matrices
- Fractal Weyl law for open quantum chaotic maps
- Supersymmetry in Disorder and Chaos
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance
- Multiple scattering in the presence of absorption: a theoretical treatment for quasi one-dimensional systems
- Scaling properties of band random matrices
- Scaling properties of localization in random band matrices: A σ-model approach
- Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities
- RANDOM BAND MATRICES
- Mathematical Theory of Scattering Resonances
- Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
- Statistics of resonances and delay times in random media: beyond random matrix theory
- Lower Limit for the Energy Derivative of the Scattering Phase Shift
- Dynamics of a rank-one perturbation of a Hermitian matrix
This page was built for publication: Resonances in a single-lead reflection from a disordered medium: \(\sigma\)-model approach
