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Particle entanglement spectra for quantum Hall states on lattices

Sterdyniak, Antoine, Regnault, Nicolas, Möller, Gunnar (2012) Particle entanglement spectra for quantum Hall states on lattices. Physical Review B, 86 (16). p. 165314. ISSN 2469-9950. E-ISSN 2469-9969. (doi:10.1103/PhysRevB.86.165314)

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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 wavefunctions are known for fractional quantum Hall states on lattices. We focus on the entanglement spectra for the Laughlin state at nu=1/2 for the non-Abelian Moore-Read state at nu=1. We undertake a comparative study of these trial states to the corresponding groundstates 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 insights into the nature of Landau-level mixing. In addition, we compare the performance of the entanglement gap and overlaps with trial wavefunctions 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.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevB.86.165314
Uncontrolled keywords: Physics of Quantum Materials
Subjects: Q Science > QC Physics > QC173.45 Condensed Matter
Divisions: Faculties > Sciences > School of Physical Sciences
Faculties > Sciences > School of Physical Sciences > Functional Materials Group
Depositing User: Gunnar Moller
Date Deposited: 25 Sep 2017 15:11 UTC
Last Modified: 05 Jul 2019 10:07 UTC
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