Large block properties of the entanglement entropy of free disordered fermions

DOI10.1007/s10955-016-1656-zzbMath1361.82017arXiv1601.00294OpenAlexW3102299129WikidataQ58004510 ScholiaQ58004510MaRDI QIDQ526615

Yong-Cai Geng, Sumit K. Garg

Publication date: 15 May 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00294

zbMATH Keywords

Anderson localizationentanglement entropyfree fermions

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (12)

Stability of a Szegő-type asymptotics ⋮ On polynomial Lieb-Robinson bounds for the XY chain in a decaying random field ⋮ Full Szegő-type trace asymptotics for ergodic operators on large boxes ⋮ How much delocalisation is needed for an enhanced area law of the entanglement entropy? ⋮ Formulas of Szegő type for the periodic Schrödinger operator ⋮ Lower bound to the entanglement entropy of the XXZ spin ring ⋮ Derivation of Kubo's formula for disordered systems at zero temperature ⋮ Stability of the enhanced area law of the entanglement entropy ⋮ Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field ⋮ Aspects of the mathematical theory of disordered quantum spin chains ⋮ The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension ⋮ Bounds on the entanglement entropy of droplet states in the XXZ spin chain

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