Interacting bosons in topological optical flux lattices

A. Sterdyniak, B. Andrei Bernevig, Nigel R. Cooper, N. Regnault

Research output: Contribution to journalArticle

22 Scopus citations

Abstract

An interesting route to the realization of topological Chern bands in ultracold atomic gases is through the use of optical flux lattices. These models differ from the tight-binding real-space lattice models of Chern insulators that are conventionally studied in solid-state contexts. Instead, they involve the coherent coupling of internal atomic (spin) states, and can be viewed as tight-binding models in reciprocal space. By changing the form of the coupling and the number N of internal spin states, they give rise to Chern bands with controllable Chern number and with nearly flat energy dispersion. We investigate in detail how interactions between bosons occupying these bands can lead to the emergence of fractional quantum Hall states, such as the Laughlin and Moore-Read states. In order to test the experimental realization of these phases, we study their stability with respect to band dispersion and band mixing. We also probe interesting topological phases that emerge in these systems when the Chern number is greater than 1.

Original languageEnglish (US)
Article number035115
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume91
Issue number3
DOIs
StatePublished - Jan 13 2015

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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