Localization for random unitary operators

DOI10.1007/s11005-005-0044-4zbMath1101.82014arXivmath-ph/0504075OpenAlexW3101330666MaRDI QIDQ2433143

Alain Joye, Günter Stolz, Eman Hamza

Publication date: 27 October 2006

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0504075

zbMATH Keywords

orthogonal polynomialslocalizationrandom unitary operator

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random linear operators (47B80)

Related Items (11)

Lyapunov exponents for unitary Anderson models ⋮ Spectral stability of unitary network models ⋮ Dynamical localization for unitary Anderson models ⋮ Exponentially decaying velocity bounds of quantum walks in periodic fields ⋮ Localization properties of the Chalker-Coddington model ⋮ Lyapunov behavior and dynamical localization for quasi-periodic CMV matrices ⋮ Singular Integrals, Rank One Perturbations and Clark Model in General Situation ⋮ Spectral transition for random quantum walks on trees ⋮ Generalized Kotani's trick for unitary operators ⋮ Dynamical localization for \(d\)-dimensional random quantum walks ⋮ Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent

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