Entanglement and spectra in topological many-body localized phases

authored by: K. S.C. Decker, D. M. Kennes, J. Eisert, C. Karrasch
Abstract: Many-body localized systems in which interactions and disorder come together defy the expectations of quantum statistical mechanics: In contrast to ergodic systems, they do not thermalize when undergoing nonequilibrium dynamics. What is less clear, however, is how topological features interplay with many-body localized phases as well as the nature of the transition between a topological and a trivial state within the latter. In this paper, we numerically address these questions using a combination of extensive tensor network calculations, specifically density matrix renormalization-group-X, as well as exact diagonalization, leading to a comprehensive characterization of Hamiltonian spectra and eigenstate entanglement properties.
External Organisation(s): Technische Universität Braunschweig
RWTH Aachen University
Administrative Headquarters of the Max Planck Society
Freie Universität Berlin (FU Berlin)
Type: Article
Journal: Physical Review B
Volume: 101
ISSN: 2469-9950
Publication date: 24.01.2020
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Electronic, Optical and Magnetic Materials, Condensed Matter Physics
Electronic version(s): https://doi.org/10.1103/PhysRevB.101.014208 (Access: Unknown)

BibTeX

@article{6a519e673b894af99a737500cc75c472,
title = "Entanglement and spectra in topological many-body localized phases",
abstract = "Many-body localized systems in which interactions and disorder come together defy the expectations of quantum statistical mechanics: In contrast to ergodic systems, they do not thermalize when undergoing nonequilibrium dynamics. What is less clear, however, is how topological features interplay with many-body localized phases as well as the nature of the transition between a topological and a trivial state within the latter. In this paper, we numerically address these questions using a combination of extensive tensor network calculations, specifically density matrix renormalization-group-X, as well as exact diagonalization, leading to a comprehensive characterization of Hamiltonian spectra and eigenstate entanglement properties.",
author = "Decker, {K. S.C.} and Kennes, {D. M.} and J. Eisert and C. Karrasch",
note = "Funding information: This work has been supported by the DFG (Grants No. CRC 183, No. FOR 2724, No. EI 519/14-1, and No. EI 519/15-1) and through the Emmy Noether Program (Program No. KA 3360/2-1), the ERC (TAQ), and the Templeton Foundation. This work has also received funding from the European Union's Horizon 2020 Research and Innovation Program under Grant Agreement No. 817482 (PASQuanS).",
year = "2020",
month = jan,
day = "24",
doi = "10.1103/PhysRevB.101.014208",
language = "English",
volume = "101",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Institute of Physics",
number = "1",
}