Stability of the enhanced area law of the entanglement entropy

DOI10.1007/s00023-020-00961-xzbMath1454.81070arXiv2004.02700OpenAlexW3091828636MaRDI QIDQ2216160

Yanyan Li

Publication date: 15 December 2020

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

Full work available at URL: https://arxiv.org/abs/2004.02700

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Statistical mechanics of gases (82D05) Quantum coherence, entanglement, quantum correlations (81P40) Quantum entropies (81P17) Fermionic systems in quantum theory (81V74) Entanglement measures, concurrencies, separability criteria (81P42)

Related Items (5)

Stability of a Szegő-type asymptotics ⋮ Lower bound to the entanglement entropy of the XXZ spin ring ⋮ Entanglement entropy bounds for droplet states of the XXZ model on the strip ⋮ Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field ⋮ Entanglement entropy bounds in the higher spin XXZ chain

Cites Work

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• Limiting absorption principle for Schrödinger operators with oscillating potentials
• Large block properties of the entanglement entropy of free disordered fermions
• Random matrix theory and entanglement in quantum spin chains
• The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension
• Kato smoothness and functions of perturbed self-adjoint operators
• Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains
• Entanglement entropy and Berezin-Toeplitz operators
• How much delocalisation is needed for an enhanced area law of the entanglement entropy?
• Trace class conditions for functions of Schrödinger operators
• Schatten class conditions for functions of Schrödinger operators
• Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states
• Formulas of Szegő type for the periodic Schrödinger operator
• BCS-like modewise entanglement of fermion Gaussian states
• Outgoing solutions of \((-\Delta + q - k^ 2)u=f\) in an exterior domain
• A Special Case of a Conjecture by Widom with Implications to Fermionic Entanglement Entropy
• Schrödinger semigroups
• Lower entropy bounds and particle number fluctuations in a Fermi sea
• Szego limit theorem for operators with discontinuous symbols and applications to entanglement entropy
• A uniform area law for the entanglement of eigenstates in the disordered XY chain
• Supercritical entanglement in local systems: Counterexample to the area law for quantum matter
• Pseudo-differential operators with discontinuous symbols: Widom’s Conjecture
• Black Holes and Entropy
• Localization properties of the disordered XY spin chain

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