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

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.

New findings in Eqs.(5)-(8) and pertaining discussion, and addendum to the title, version as published

References in corpus (7)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement spectrum in one-dimensional systems
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Paired composite fermion phase of quantum Hall bilayers at ν= 1/2 + 1/2
• Trial Wavefunctions for ν= 1/2 + 1/2 Quantum Hall Bilayers
• Evidence for a finite temperature phase transition in a bilayer quantum Hall system
• Intrinsic gap and exciton condensation in the nu_T=1 bilayer system

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