Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states

DOI10.1016/j.jfa.2017.04.005zbMath1377.47012arXiv1605.04429OpenAlexW2963638936MaRDI QIDQ2357088

Hajo Leschke, Alexander V. Sobolev, Wolfgang L. Spitzer

Publication date: 19 June 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04429

zbMATH Keywords

entanglement entropyasymptotic trace formulasnon-smooth functions of Wiener-Hopf operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Applications of operator theory in the physical sciences (47N50) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Asymptotics of solutions to integral equations (45M05) Statistical mechanics of gases (82D05)

Related Items (15)

Stability of a Szegő-type asymptotics ⋮ Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth versus non-smooth symbols ⋮ Asymptotic analysis of von Neumann entropy in conformal field theory ⋮ Entanglement entropy and Berezin-Toeplitz operators ⋮ How much delocalisation is needed for an enhanced area law of the entanglement entropy? ⋮ On Szegő formulas for truncated Wiener-Hopf operators ⋮ Lower bound to the entanglement entropy of the XXZ spin ring ⋮ Entanglement entropies of an interval in the free Schrödinger field theory on the half line ⋮ Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature ⋮ Operator θ$\theta$‐Hölder functions with respect to ∥·∥p$\Vert \cdot \Vert _p$, 0<p⩽∞$0&lt; p\leqslant \infty$ ⋮ 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 ⋮ Entanglement entropy bounds in the higher spin XXZ chain ⋮ Operator \(\theta\)-Hölder functions ⋮ Entanglement entropies of an interval in the free Schrödinger field theory at finite density

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a coefficient in trace formulas for Wiener-Hopf operators
• Asymptotic expansions for pseudodifferential operators on bounded domains
• Szegö's limit theorem: The higher-dimensional matrix case
• Eigenvalue distribution of time and frequency limiting
• Quantum chaos and dynamical entropy
• Dynamical entropy of space translations of CAR and CCR algebras with respect to quasi-free states
• Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains
• Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth versus non-smooth symbols
• On the Schatten-von Neumann properties of some pseudo-differential operators
• Remarks on the singular numbers of a sum of completely continuous operators
• Corrigendum: Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature (2016 J. Phys. A: Math. Theor. 49 30LT04)
• A Special Case of a Conjecture by Widom with Implications to Fermionic Entanglement Entropy
• Pseudo-differential operators with discontinuous symbols: Widom’s Conjecture
• Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results
• Functions of self-adjoint operators in ideals of compact operators

This page was built for publication: Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states