Disentangling Entanglement Spectra of Fractional Quantum Hall States on Torus Geometries

TL;DR

This paper investigates the entanglement spectrum of Laughlin states on a torus, revealing a tower structure generated by edge modes, which aids in understanding the spectrum's features across different geometries.

Contribution

It uncovers a universal tower structure in the entanglement spectrum of fractional quantum Hall states on the torus, linking it to edge mode excitations.

Findings

Entanglement spectrum forms towers generated by chiral edge modes.

Structure persists across all torus circumferences.

Perturbation around the thin torus limit reveals spectral features.

Abstract

We analyze the entanglement spectrum of Laughlin states on the torus and show that it is arranged in towers, each of which is generated by modes of two spatially separated chiral edges. This structure is present for all torus circumferences, which allows for a microscopic identification of the prominent features of the spectrum by perturbing around the thin torus limit.