Quantum Anomalous Hall Effect with Cold Atoms Trapped in a Square Lattice

Details Quantum Anomalous Hall Effect with Cold Atoms Trapped in a Square Lattice Quantum Anomalous Hall Effect with Cold Atoms Trapped in a Square Lattice

2010-03-13

arxiv.org/abs/1003.2736v1

Phys. Rev. A 81, 033622 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 figures, to appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.81.033622

We propose an experimental scheme to realize and detect the quantum anomalous Hall effect in an anisotropic square optical lattice which can be generated from available experimental set-ups of double-well lattices with minor modifications. A periodic gauge potential induced by atom-light interaction is introduced to give a Peierls phase for the nearest-neighbor site hopping. The quantized anomalous Hall conductivity is investigated by calculating the Chern number as well as the chiral gapless edge states of our system. Furthermore, we show in detail the feasability for its experimental detection through light Bragg scattering of the edge and bulk states with which one can determine the topological phase transition from usual insulating phase to quantum anomalous Hall phase.

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