Manifestations of dynamical localization in the disordered XXZ spin chain

DOI10.1007/s00220-018-3132-xzbMath1414.82008arXiv1708.00474OpenAlexW3101198557MaRDI QIDQ1663675

Günter Stolz, Abel Klein, Alexander Elgart

Publication date: 22 August 2018

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

Full work available at URL: https://arxiv.org/abs/1708.00474

zbMATH Keywords

spectrumlocalizationXXZ chainIsing phase

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (15)

Power law logarithmic bounds of moments for long range operators in arbitrary dimension ⋮ Slow propagation in some disordered quantum spin chains ⋮ Localization and IDS regularity in the disordered Hubbard model within Hartree-Fock theory ⋮ Lower bound to the entanglement entropy of the XXZ spin ring ⋮ On the localization regime of certain random operators within Hartree–Fock theory ⋮ 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 ⋮ A Schrödinger operator approach to higher spin XXZ systems on general graphs ⋮ Aspects of the mathematical theory of disordered quantum spin chains ⋮ Entanglement entropy bounds in the higher spin XXZ chain ⋮ Towards localization in long-range continuous interactive Anderson models ⋮ Entanglement bounds in the XXZ quantum spin chain ⋮ A Lieb–Robinson bound for quantum spin chains with strong on-site impurities ⋮ Vanishing of drude weight in interacting fermions on \(\mathbb{Z}^d\) with quasi-periodic disorder

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