Quantum ergodicity and localization in conservative systems: the Wigner band random matrix model.

DOI10.1016/S0375-9601(96)00784-0zbMath1037.82525arXivcond-mat/9607018MaRDI QIDQ1968080

Felix M. Izrailev, Giulio Casati, Italo Guarneri, Boris V. Chirikov

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9607018

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items

Relativistic quantum chaos, Density of states for random band matrices in two dimensions, Statistical distribution of components of energy eigenfunctions: from nearly-integrable to chaotic, Diluted banded random matrices: scaling behavior of eigenfunction and spectral properties, The quantum mechanics of chaotic billiards., Eigenstate thermalization: Deutsch’s approach and beyond, Coalescing points for eigenvalues of banded matrices depending on parameters with application to banded random matrix functions, Quantum chaos and thermalization in isolated systems of interacting particles, Localization and ergodicity in nonperturbative regions of energy eigenfunctions: from nearly integrable to chaotic, The density of states of 1D random band matrices via a supersymmetric transfer operator, A Renormalized-Hamiltonian-Flow Approach to Eigenenergies and Eigenfunctions*, Quantum-classical correspondence for local density of states and eigenfunctions of a chaotic periodic billiard, Eigenvector localization for random band matrices with power law band width, Typical relaxation of perturbed quantum many-body systems

Cites Work

• Characteristic vectors of bordered matrices with infinite dimensions. II
• Quantum chaos: Unexpected complexity
• How Many “Arrows of Time” Do We Really Need to Comprehend Statistical Laws?
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