English

Detecting Topological Phases in Cold Atoms

Mesoscale and Nanoscale Physics 2013-09-30 v2 Quantum Gases Quantum Physics

Abstract

Chern insulators are band insulators which exhibit a gap in the bulk and gapless excitations in the edge. Detection of Chern insulators is a serious challenge in cold atoms since the Hall transport measurements are technically unrealistic for neutral atoms. By establishing a natural correspondence between the time-reversal invariant topological insulator and quantum anomalous Hall system, we show for a class of Chern insulators that the topology can be determined by only measuring Bloch eigenstates at highly symmetric points of the Brillouin zone (BZ). Furthermore, we introduce two experimental schemes including the spin-resolved Bloch oscillation to carry out the measurement. These schemes are highly feasible under realistic experimental conditions. Our results may provide a powerful tool to detect topological phases in cold atoms.

Keywords

Cite

@article{arxiv.1306.5223,
  title  = {Detecting Topological Phases in Cold Atoms},
  author = {Xiong-Jun Liu and K. T. Law and T. K. Ng and Patrick A. Lee},
  journal= {arXiv preprint arXiv:1306.5223},
  year   = {2013}
}

Comments

4+pages and 4 figures; Supplementary Material is added, with new results obtained in the honeycomb lattice system

R2 v1 2026-06-22T00:38:19.611Z