Real-space entanglement spectrum of quantum Hall systems

TL;DR

This paper investigates the real-space entanglement spectrum in fractional quantum Hall systems, demonstrating its local properties and scaling behavior, and analytically examines the particle entanglement spectrum of the Laughlin state.

Contribution

It introduces the analysis of the real-space entanglement spectrum's locality and scaling, and provides an analytical Schmidt decomposition of the Laughlin state at large size.

Findings

Real-space entanglement spectrum maintains locality along the spatial cut.

Evidence of a scaling property in the entanglement spectrum.

Analytical Schmidt decomposition of the Laughlin state at large size.

Abstract

We study the real-space entanglement spectrum for fractional quantum Hall systems, which maintains locality along the spatial cut, and provide evidence that it possesses a scaling property. We also consider the closely-related particle entanglement spectrum, and carry out the Schmidt decomposition of the Laughlin state analytically at large size.