Multi-scale analysis for random quantum systems with interaction

DOI10.1007/978-1-4614-8226-0zbMath1280.81003OpenAlexW105952436MaRDI QIDQ354259

Victor Chulaevskij, Yu. M. Sukhov

Publication date: 18 July 2013

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

Full work available at URL: https://doi.org/10.1007/978-1-4614-8226-0

zbMATH Keywords

Anderson modelrandom environmentvariable energy multi-scale analysismulti-scale analysisdynamical localizationmulti-particle localizationdecay of Green's functionsdisordered quantum systemeigenvalue concentration boundsexponential and dynamical localizationfractional moment methodrandom-matrix modelssingle particle localizationStollmann's boundWegner-type bounds

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Quantum chaos (81Q50) Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Processes in random environments (60K37) Random linear operators (47B80) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Lattice dynamics; integrable lattice equations (37K60) Green's functions for elliptic equations (35J08)

Related Items (11)

Efficient localization bounds in a continuous \(N\)-particle Anderson model with long-range interaction ⋮ Exponential scaling limit of the single-particle Anderson model via adaptive feedback scaling ⋮ Localization and IDS regularity in the disordered Hubbard model within Hartree-Fock theory ⋮ Low-energy Fock-space localization for attractive hard-core particles in disorder ⋮ Universal regularity of higher-dimensional disorder and density of states under non-local interactions. I: Infinite smoothness and localization ⋮ Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials ⋮ Anderson localization for two interacting quasiperiodic particles ⋮ An eigensystem approach to Anderson localization for multi-particle systems ⋮ A quantum Mermin-Wagner theorem for a generalized Hubbard model ⋮ Direct scaling analysis of fermionic multiparticle correlated Anderson models with infinite-range interaction ⋮ Multiparticle localization for disordered systems on continuous space via the fractional moment method

This page was built for publication: Multi-scale analysis for random quantum systems with interaction