A uniform area law for the entanglement of eigenstates in the disordered XY chain

DOI10.1063/1.4938573zbMath1334.82006arXiv1505.02117OpenAlexW930948937MaRDI QIDQ3463239

Günter Stolz, Houssam M. Abdul-Rahman

Publication date: 12 January 2016

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

Full work available at URL: https://arxiv.org/abs/1505.02117

zbMATH Keywords

transversal magnetic fieldbipartite entanglement entropyeigenfunction correlatorisotropic and anisotropic \(XY\) spin chain

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (16)

Entanglement dynamics of disordered quantum XY chains ⋮ An eigensystem approach to Anderson localization ⋮ On polynomial Lieb-Robinson bounds for the XY chain in a decaying random field ⋮ Decay of determinantal and Pfaffian correlation functionals in one-dimensional lattices ⋮ Decay of complex-time determinantal and Pfaffian correlation functionals in lattices ⋮ Manifestations of dynamical localization in the disordered XXZ spin chain ⋮ How much delocalisation is needed for an enhanced area law of the entanglement entropy? ⋮ On the regime of localized excitations for disordered oscillator systems ⋮ Dynamical evolution of entanglement in disordered oscillator systems ⋮ Stability of the enhanced area law of the entanglement entropy ⋮ Aspects of the mathematical theory of disordered quantum spin chains ⋮ Entanglement of a class of non-Gaussian states in disordered harmonic oscillator systems ⋮ The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension ⋮ Many-body localization in the droplet spectrum of the random XXZ quantum spin chain ⋮ Large block properties of the entanglement entropy of free disordered fermions ⋮ Entanglement bounds in the XXZ quantum spin chain

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