Quantum anomalous Hall phase in a one-dimensional optical lattice

We propose to simulate and detect quantum anomalous Hall phase with ultracold atoms in a one-dimensional optical lattice, with the other synthetic dimension being realized by modulating spin-orbit coupling. We show that the system manifests a topologically nontrivial phase with two chiral edge state...

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Bibliographic Details
Published in:Journal of physics. Condensed matter 2018-03, Vol.30 (12), p.124001-124001
Main Authors: Liu, Sheng, Shao, L B, Hou, Qi-Zhe, Xue, Zheng-Yuan
Format: Article
Language:English
Subjects:
cold gases in optical lattices
disorder
quantum anomalous Hall phase
quantum simulation
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Summary:We propose to simulate and detect quantum anomalous Hall phase with ultracold atoms in a one-dimensional optical lattice, with the other synthetic dimension being realized by modulating spin-orbit coupling. We show that the system manifests a topologically nontrivial phase with two chiral edge states which can be readily detected in this synthetic two-dimensional system. Moreover, it is interesting that at the phase transition point there is a flat energy band and this system can also be in a topologically nontrivial phase with two Fermi zero modes existing at the boundaries by considering the synthetic dimension as a modulated parameter. We also show how to measure these topological phases experimentally in ultracold atoms. Another model with a random Rashba and Dresselhaus spin-orbit coupling strength is also found to exhibit topological nontrivial phase, and the impact of the disorder to the system is revealed.
ISSN:0953-8984
1361-648X
DOI:10.1088/1361-648X/aaab89