Asymptotic quantum many-body localization from thermal disorder

DOI10.1007/s00220-014-2116-8zbMath1309.82010arXiv1308.6263OpenAlexW3105363476MaRDI QIDQ462883

François Huveneers, Wojciech De Roeck

Publication date: 22 October 2014

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

Full work available at URL: https://arxiv.org/abs/1308.6263

zbMATH Keywords

invariant subspacescluster expansiondecay of correlationseigenstate thermalization hypothesis (ETH)Green-Kubo conductivitylocalized phasemany body localizationmetal-insulator transitionperturbative diagonalizationpolymer representationsquantum lattice systemresonant Hamiltonianthermal disorder

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (12)

On many-body localization for quantum spin chains ⋮ Frozen dynamics of a breather induced by an adiabatic invariant ⋮ Step density profiles in localized chains ⋮ Rigorous and simple results on very slow thermalization, or quasi-localization, of the disordered quantum chain ⋮ Integrals of motion in the many-body localized phase ⋮ Asymptotic localization in the Bose-Hubbard model ⋮ Many-body localization: stability and instability ⋮ A perspective on quantum integrability in many-body-localized and Yang–Baxter systems ⋮ Equivalence of ensembles, condensation and glassy dynamics in the Bose-Hubbard Hamiltonian ⋮ Localization in the ground state of an interacting quasi-periodic fermionic chain ⋮ Localization in the discrete non-linear Schrödinger equation and geometric properties of the microcanonical surface ⋮ Symmetric tensor gauge theories on curved spaces

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