Lower bound to the entanglement entropy of the XXZ spin ring

DOI10.1007/s00023-023-01318-warXiv2007.00735OpenAlexW3039331282MaRDI QIDQ6054125

Publication date: 24 October 2023

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.00735

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) Equilibrium statistical mechanics (82Bxx) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx)

Related Items (2)

Entanglement entropy bounds for droplet states of the XXZ model on the strip ⋮ Entanglement entropy bounds in the higher spin XXZ chain

Cites Work

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Entanglement bounds in the XXZ quantum spin chain
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Low-energy Fock-space localization for attractive hard-core particles in disorder
The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension
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How much delocalisation is needed for an enhanced area law of the entanglement entropy?
Stability of the enhanced area law of the entanglement entropy
Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states
Formulas of Szegő type for the periodic Schrödinger operator
The Infinite XXZ Quantum Spin Chain Revisited: Structure of Low Lying Spectral Bands and Gaps
Colloquium: Area laws for the entanglement entropy
Bounds on the entanglement entropy of droplet states in the XXZ spin chain
Aspects of the mathematical theory of disordered quantum spin chains
Droplet states in quantum XXZ spin systems on general graphs
Generalized Solutions and Spectrum for Dirichlet Forms on Graphs
An area law for one-dimensional quantum systems
Droplet states in the \(XXZ\) Heisenberg chain.
The \(L^p\)-theory of the spectral shift function, the Wegner estimate, and the integrated density of states for some random operators.

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