Year: 2020
Type: article
Abstract: We analyze the entanglement entropy, in real space, for the higher-dimensional integer quantum Hall effect on ${\mathbb{C}\mathbb{P}}^{k}$ (any even dimension) for Abelian and non-Abelian magnetic background fields. In the case of $\ensuremath{\nu}=1$ we perform a semiclassical calculation which gives the entropy as proportional to the phase-space area. This exhibits a certain universality in the sense that the proportionality constant is the same for any dimension and for any background, Abelian or non-Abelian. We also point out some distinct features in the profiles of the eigenfunctions of the two-point correlator that underline the difference in the value of entropies between $\ensuremath{\nu}=1$ and higher Landau levels.
Author: Dimitra Karabali
Institution: Lehman College
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W3036405449