Synthetic Landau Levels and Spinor Vortex Matter on a Haldane Spherical Surface with a Magnetic Monopole

Xiang-Fa Zhou, Congjun Wu, Guang-Can Guo, Ruquan Wang, Han Pu, and Zheng-Wei Zhou
Phys. Rev. Lett. 120, 130402 – Published 29 March 2018
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Abstract

We present a flexible scheme to realize exact flat Landau levels on curved spherical geometry in a system of spinful cold atoms. This is achieved by applying the Floquet engineering of a magnetic quadrupole field to create a synthetic monopole field in real space. The system can be exactly mapped to the electron-monopole system on a sphere, thus realizing Haldane’s spherical geometry for fractional quantum Hall physics. This method works for either bosons or fermions. We investigate the ground-state vortex pattern for an s-wave interacting atomic condensate by mapping this system to the classical Thompson’s problem. The distortion and stability of the vortex pattern are further studied in the presence of dipolar interaction. Our scheme is compatible with the current experimental setup, and may serve as a promising route of investigating quantum Hall physics and exotic spinor vortex matter on curved space.

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  • Received 7 November 2017

DOI:https://doi.org/10.1103/PhysRevLett.120.130402

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Xiang-Fa Zhou1,2, Congjun Wu3, Guang-Can Guo1,2, Ruquan Wang4,5, Han Pu6,7,*, and Zheng-Wei Zhou1,2,†

  • 1Key Laboratory of Quantum Information, Chinese Academy of Sciences, University of Science and Technology of China, Hefei 230026, China
  • 2Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
  • 3Department of Physics, University of California, San Diego, San Diego, California 92093, USA
  • 4Institute of Physics, Chinese Academy of Sciences, Beijing 100080, People’s Republic of China
  • 5Collaborative Innovation Center of Quantum Matter, Beijing, China
  • 6Department of Physics and Astronomy, and Rice Center for Quantum Materials, Rice University, Houston, Texas 77251, USA
  • 7Center for Cold Atom Physics, Chinese Academy of Sciences, Wuhan 430071, People’s Republic of China

  • *hpu@rice.edu
  • zwzhou@ustc.edu.cn

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Issue

Vol. 120, Iss. 13 — 30 March 2018

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