Stability of a Szegő-type asymptotics
arXiv:2104.12765 · doi:10.1063/5.0135006
Abstract
We consider a multi-dimensional continuum Schrödinger operator which is given by a perturbation of the negative Laplacian by a compactly supported bounded potential. We show that, for a fairly large class of test functions, the second-order Szegő-type asymptotics for the spatially truncated Fermi projection of is independent of the potential and, thus, identical to the known asymptotics of the Laplacian.
arXiv commentVersion as to appear in the special issue of J Math Phys dedicated to Abel Klein
References in corpus (15)
- Area laws for the entanglement entropy - a review
- Quantum entanglement in condensed matter systems
- Violation of the entropic area law for Fermions
- Scaling of Rényi entanglement entropies of the free Fermi-gas ground state: a rigorous proof
- On the Area Law for Disordered Free Fermions
- Entanglement entropy and Berezin-Toeplitz operators
- Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains
- Large Block Properties of the Entanglement Entropy of Disordered Fermions
- How much delocalisation is needed for an enhanced area law of the entanglement entropy?
- The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension
- 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
- Full Szegő-type trace asymptotics for ergodic operators on large boxes
- Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function
- On the stability of the area law for the entanglement entropy of the Landau Hamiltonian