中国物理学会期刊网
Chin. Phys. Lett.  2018, Vol.35 Issue (1): 13701-  DOI:10.1088/0256-307X/35/1/013701
Probe Knots and Hopf Insulators with Ultracold Atoms
1Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA2Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park, MD 20742-4111, USA3Center for Quantum Information, IIIS, Tsinghua University, Beijing 1000844Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA>

Abstract

Knots and links are fascinating and intricate topological objects. Their influence spans from DNA and molecular chemistry to vortices in superfluid helium, defects in liquid crystals and cosmic strings in the early universe. Here we find that knotted structures also exist in a peculiar class of three-dimensional topological insulators—the Hopf insulators. In particular, we demonstrate that the momentum-space spin textures of Hopf insulators are twisted in a nontrivial way, which implies the presence of various knot and link structures. We further illustrate that the knots and nontrivial spin textures can be probed via standard time-of-flight images in cold atoms as preimage contours of spin orientations in stereographic coordinates. The extracted Hopf invariants, knots, and links are validated to be robust to typical experimental imperfections. Our work establishes the existence of knotted structures in Hopf insulators, which may have potential applications in spintronics and quantum information processing.
收稿日期:2017-11-23

基金资助

D.L.D., S.T.W. and L.M.D. are supported by the ARL, the IARPA LogiQ program, and the AFOSR MURI program, and supported by Tsinghua University for their visits. K.S. acknowledges the support from NSF under Grant No. PHY1402971. D.L.D. is also supported by JQI-NSF-PFC and LPS-MPO-CMTC at the final stage of this paper.

引用本文

[英文]
Dong-Ling Deng, Sheng-Tao Wang, Kai Sun, L.-M. Duan. Probe Knots and Hopf Insulators with Ultracold Atoms[J]. CPL, 2018, 35(1): 13701-.
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