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  • Letter
  • Open Access

Mapping the topology-localization phase diagram with quasiperiodic disorder using a programmable superconducting simulator

Xuegang Li1,*, Huikai Xu1,*, Junhua Wang1,*, Ling-Zhi Tang2, Dan-Wei Zhang2,†, Chuhong Yang1, Tang Su1, Chenlu Wang1, Zhenyu Mi1 et al.

Weijie Sun1, Xuehui Liang1, Mo Chen1, Chengyao Li1, Yingshan Zhang1, Kehuan Linghu1, Jiaxiu Han1, Weiyang Liu1,3, Yulong Feng1, Pei Liu4, Guangming Xue1,3, Jingning Zhang1,‡, Yirong Jin1,§, Shi-Liang Zhu2,3, Haifeng Yu1,3, S. P. Zhao1,3,5, and Qi-Kun Xue1,3,4

  • 1Beijing Academy of Quantum Information Sciences, Beijing 100193, China
  • 2Key Laboratory of Atomic and Subatomic Structure and Quantum Control (Ministry of Education), School of Physics, South China Normal University, Guangzhou 510006, China
  • 3Hefei National Laboratory, Hefei 230088, China
  • 4State Key Laboratory of Low Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China
  • 5Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China

  • *These authors contributed equally to the work.
  • †Contact author: danweizhang@m.scnu.edu.cn
  • ‡Contact author: zhangjn@baqis.ac.cn
  • §Contact author: jinyr@baqis.ac.cn
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Phys. Rev. Research 6, L042038 – Published 5 November, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L042038

Abstract

We explore a topology-localization phase diagram by simulating a one-dimensional Su-Schrieffer-Heeger model with quasiperiodic disorder using a programmable superconducting simulator. We experimentally map out and identify various trivial and topological phases with extended, critical, and localized bulk states. We find that with increasing disorder strength, some extended states can be first replaced by localized states and then by critical states before the system finally becomes fully localized. The critical states exhibit typical features such as multifractality and self-similarity, which lead to surprisingly rich phases with different types of mobility edges and scaling behaviors on the phase boundaries. Our results shed light on the investigation of the topological and localization phenomena in condensed-matter physics.

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Phys. Rev. Research 6, L042038– Published 5 November, 2024
  • Received 21 February 2024
  • Revised 12 August 2024
  • Accepted 11 October 2024
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