Details

Autor(en) / Beteiligte

• Sterdyniak, Antoine
• Regnault, Nicolas
• Möller, Gunnar

Titel

Particle entanglement spectra for quantum Hall states on lattices

Ist Teil von

• Physical review. B, Condensed matter and materials physics, 2012-10, Vol.86 (16), Article 165314

Ort / Verlag

American Physical Society

Erscheinungsjahr

2012

Link zum Volltext

Quelle

PROLA

Beschreibungen/Notizen

• We use particle entanglement spectra to characterize bosonic quantum Hall states on lattices, motivated by recent studies of bosonic atoms on optical lattices. Unlike for the related problem of fractional Chern insulators, very good trial wave functions are known for fractional quantum Hall states on lattices. We focus on the entanglement spectra for the Laughlin state at v = 1/2 for the non-Abelian Moore-Read state at v = 1. We undertake a comparative study of these trial states to the corresponding ground states of repulsive two-body or three-body contact interactions on the lattice. The magnitude of the entanglement gap is studied as a function of the interaction strength on the lattice, giving insight into the nature of Landau-level mixing. In addition, we compare the performance of the entanglement gap and overlaps with trial wave functions as possible indicators for the topological order in the system. We discuss how the entanglement spectra allow to detect competing phases such as a Bose-Einstein condensate.