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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

The fundamental localization phases in quasiperiodic systems: a unified framework and exact results

Xin-Chi Zhou, Bing-Chen Yao, Yongjian Wang, Yucheng Wang, Yudong Wei, Qi Zhou, and Xiong-Jun Liu

Science Bulletin 71 1654 (2026)

Reentrant topological phases and entanglement scalings in moiré-modulated extended Su-Schrieffer-Heeger model

Guo-Qing Zhang, L. F. Quezada, and Shi-Hai Dong

Sci. China Phys. Mech. Astron. 69 230314 (2026)

Even–odd classification of reentrant topology in a Su–Schrieffer–Heeger chain with integer-power quasiperiodic hopping

Yusheng Niu, Hui Liu, and Zhihao Xu

Physica A: Statistical Mechanics and its Applications 700 131949 (2026)

Distinct reentrant transitions in a quasiperiodic Raman lattice

Xingbo Wei, Zhentian Xie, Tong Liu, Gao Xianlong, and Yunbo Zhang

Phys. Rev. Research 8 L022044 (2026)

Observing Quantum Correlation Dynamics in Tunable Superconducting Bose-Hubbard Simulators

Z. T. Wang, Si-Yun Zhou, Yun-Hao Shi, Kaixuan Huang, Z. H. Yang, Jingning Zhang, Kui Zhao, Yueshan Xu, Hao Li, S. K. Zhao, Yulong Feng, Guangming Xue, Yu Liu, Wei-Guo Ma, Cai-Ping Fang, Hao-Tian Liu, Yong-Yi Wang, Kai Xu, Haifeng Yu, Heng Fan, and S. P. Zhao

Phys. Rev. Lett. 137 050603 (2026)

Topological enhancement and reentrant topological transitions in a mosaic trimer lattice

Xiatao Wang, Li Wang, and Shu Chen

Phys. Rev. B 114 014204 (2026)

Enhanced density fluctuations near a disordered chiral topological transition

Hai-Tao Ding, Sen Mu, Leong-Chuan Kwek, Gabriel Lemarié, and Jiangbin Gong

Phys. Rev. B 114 134204 (2026)

Topological metal-insulator transitions in one-dimensional non-Hermitian quasicrystals: Beyond PT symmetry

Guangjie Zhang, Bing Shao, Longwen Zhou, Jiangbin Gong, and Weiwei Zhu

Phys. Rev. B 114 305407 (2026)

Anomalous non-Hermitian topological Anderson insulator

Mina Ren, Xi Shi, Haitao Jiang, Feng Liu, Hong Chen, and Yong Sun

Phys. Rev. B 113 064202 (2026)

Discrete time crystals enabled by Floquet strong Hilbert space fragmentation

Ling-Zhi Tang, Xiao Li, Z. D. Wang, and Dan-Wei Zhang

Phys. Rev. B 113 214303 (2026)

Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal

Qi-Bo Zeng and Rong Lü

Phys. Rev. B 113 224203 (2026)

Multiple reentrant topological windows induced by generalized Bernoulli disorder

Ruijiang Ji, Yunbo Zhang, Shu Chen, and Zhihao Xu

Phys. Rev. A 113 063502 (2026)

Average topological phase in a disordered Rydberg atom array

Zongpei Yue, Yu-Feng Mao, Xinhui Liang, Zhen-Xing Hua, Peiyun Ge, Yu-Xin Chao, Kai Li, Chen Jia, Meng Khoon Tey, Yong Xu, and Li You

Nat. Phys. 22 844 (2026)

Entanglement entropy as a probe of topological phase transitions

Manish Kumar, Bharadwaj Vedula, Suhas Gangadharaiah, and Auditya Sharma

J. Phys.: Condens. Matter 38 145601 (2026)

Reentrant localization transition in a dimerized quasiperiodic dipolar chain

Thomas F Allard and Guillaume Weick

J. Phys.: Condens. Matter 38 225401 (2026)

Recent progress on disorder-induced topological phases

Dan-Wei Zhang and Ling-Zhi Tang

J. Phys.: Condens. Matter 38 253003 (2026)

Critical properties in the non-Hermitian Aubry-André-Stark model

Ji-Long Dong, En-Wen Liang, Shi-Yang Liu, Guo-Qing Zhang, Ling-Zhi Tang, and Dan-Wei Zhang

Phys. Rev. B 111 174209 (2025)

Emergent topological re-entrant phase transition in a generalized quasiperiodic modulated Su-Schrieffer-Heeger model

Xiao-Ming Wang, Shan-Zhong Li, and Zhi Li

Phys. Rev. A 111 022214 (2025)

Protecting quantum information via many-body dynamical localization

Ling-Zhi Tang, Dan-Wei Zhang, Hai-Feng Yu, and Z. D. Wang

Phys. Rev. A 111 L040401 (2025)

Cosmic-ray-induced correlated errors in superconducting qubit array

Xuegang Li, Junhua Wang, Yao-Yao Jiang, Guang-Ming Xue, Xiaoxia Cai, Jun Zhou, Ming Gong, Zhao-Feng Liu, Shuang-Yu Zheng, Deng-Ke Ma, Mo Chen, Wei-Jie Sun, Shuang Yang, Fei Yan, Yi-Rong Jin, S. P. Zhao, Xue-Feng Ding, and Hai-Feng Yu

Nat Commun 16 4677 (2025)

Reentrant topological phases and spin density wave induced by 1D moiré potentials

Guo-Qing Zhang, Ling-Zhi Tang, L. F. Quezada, Shi-Hai Dong, and Dan-Wei Zhang

Commun Phys 8 275 (2025)

Fibonacci-modulation-induced multiple topological Anderson insulators

Ruijiang Ji and Zhihao Xu

Commun Phys 8 336 (2025)

Multisite gates for state preparation in quantum simulation of the Bose-Hubbard model

Pranjal Praneel, Thomas G. Kiely, Erich J. Mueller, and Andre G. Petukhov

Phys. Rev. A 110 062615 (2024)

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