Many-body localization in the droplet spectrum of the random XXZ quantum spin chain

DOI10.1016/j.jfa.2017.11.001zbMath1397.82030arXiv1703.07483OpenAlexW2605906425MaRDI QIDQ1753392

Günter Stolz, Abel Klein, Alexander Elgart

Publication date: 29 May 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07483

zbMATH Keywords

thermodynamic limitrandom environmentAnderson localizationrandom operatorsWegner estimatestrong disorderexponential clusteringIsing phasedroplet spectrumeigencorrelatorsmany-body localization (MBL)XXZ chain in a random field

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Processes in random environments (60K37) Random linear operators (47B80) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (21)

Power law logarithmic bounds of moments for long range operators in arbitrary dimension ⋮ Droplet states in quantum XXZ spin systems on general graphs ⋮ Manifestations of dynamical localization in the disordered XXZ spin chain ⋮ Slow propagation in some disordered quantum spin chains ⋮ 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 ⋮ Lower bound to the entanglement entropy of the XXZ spin ring ⋮ On the localization regime of certain random operators within Hartree–Fock theory ⋮ Classical Analog of Quantum Light Cones in 1D and 2D Dipole Systems ⋮ On the regime of localized excitations for disordered oscillator systems ⋮ Dynamical evolution of entanglement in disordered oscillator systems ⋮ Entanglement entropy bounds for droplet states of the XXZ model on the strip ⋮ Thermodynamic limit of the pieces' model ⋮ A Schrödinger operator approach to higher spin XXZ systems on general graphs ⋮ Aspects of the mathematical theory of disordered quantum spin chains ⋮ Localization in the disordered Holstein model ⋮ Entanglement entropy bounds in the higher spin XXZ chain ⋮ Towards localization in long-range continuous interactive Anderson models ⋮ Correlations in disordered quantum harmonic oscillator systems: The effects of excitations and quantum quenches ⋮ Interacting fermions with quasi-random disorder ⋮ Entanglement bounds in the XXZ quantum spin chain

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