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

Understand

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.