Entanglement Spectrum and Entanglement Thermodynamics of Quantum Hall Bilayers at nu=1

TL;DR

This paper investigates the entanglement spectra of bilayer quantum Hall systems at nu=1, revealing phase transitions and thermodynamic analogies that deepen understanding of quantum entanglement in these systems.

Contribution

It demonstrates the similarity between entanglement and energy spectra in the coherent phase and introduces an effective temperature framework for entanglement thermodynamics.

Findings

Entanglement spectra resemble energy spectra in the coherent phase.

Transition to incoherent phase is observable via entanglement levels.

Entanglement entropy relations mirror thermodynamic principles.

Abstract

We study the entanglement spectra of bilayer quantum Hall systems at total filling factor nu=1. In the interlayer-coherent phase at layer separations smaller than a critical value, the entanglement spectra show a striking similarity to the energy spectra of the corresponding monolayer systems around half filling. The transition to the incoherent phase can be followed in terms of low-lying entanglement levels. Finally, we describe the connection between those two types of spectra in terms of an effective temperature leading to relations for the entanglement entropy which are in full analogy to canonical thermodynamics.