Detecting Non-Bloch Topological Invariants in Quantum Dynamics

被引:42
|
作者
Wang, Kunkun [1 ,4 ]
Li, Tianyu [2 ,3 ]
Xiao, Lei [1 ]
Han, Yiwen [2 ,3 ]
Yi, Wei [2 ,3 ]
Xue, Peng [1 ]
机构
[1] Beijing Computat Sci Res Ctr, Beijing 100084, Peoples R China
[2] Univ Sci & Technol China, CAS Key Lab Quantum Informat, Hefei 230026, Peoples R China
[3] CAS Ctr Excellence Quantum Informat & Quantum Phy, Hefei 230026, Peoples R China
[4] Anhui Univ, Sch Phys & Optoelect Engn, Hefei 230601, Peoples R China
基金
中国博士后科学基金; 中国国家自然科学基金;
关键词
All Open Access; Green;
D O I
10.1103/PhysRevLett.127.270602
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Non-Bloch topological invariants preserve the bulk-boundary correspondence in non-Hermitian topological systems, and are a key concept in the contemporary study of non-Hermitian topology. Here we report the dynamic detection of non-Bloch topological invariants in single-photon quantum walks, revealed through the biorthogonal chiral displacement, and crosschecked with the dynamic spin textures in the generalized quasimomentum-time domain following a quantum quench. Both detection schemes are robust against symmetry-preserving disorders, and yield consistent results with theoretical predictions. Our experiments are performed far away from any boundaries, and therefore underline non-Bloch topological invariants as intrinsic properties of the system that persist in the thermodynamic limit. Our work sheds new light on the experimental investigation of non-Hermitian topology.
引用
收藏
页数:7
相关论文
共 50 条
  • [31] Probing non-Hermitian skin effect and non-Bloch phase transitions
    Longhi, Stefano
    PHYSICAL REVIEW RESEARCH, 2019, 1 (02):
  • [32] Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
    Kawabata, Kohei
    Okuma, Nobuyuki
    Sato, Masatoshi
    PHYSICAL REVIEW B, 2020, 101 (19)
  • [33] Observation of Non-Bloch Parity-Time Symmetry and Exceptional Points
    Xiao, Lei
    Deng, Tianshu
    Wang, Kunkun
    Wang, Zhong
    Yi, Wei
    Xue, Peng
    PHYSICAL REVIEW LETTERS, 2021, 126 (23)
  • [34] Simple formulas of directional amplification from non-Bloch band theory
    Xue, Wen-Tan
    Li, Ming-Rui
    Hu, Yu-Min
    Song, Fei
    Wang, Zhong
    PHYSICAL REVIEW B, 2021, 103 (24)
  • [35] NON-BLOCH ELECTRON-STATES IN PERFECT CUBIC-CRYSTALS
    MODRAK, P
    OLSZEWSKI, S
    PHYSICAL REVIEW B, 1976, 14 (06): : 2387 - 2397
  • [36] Non-Bloch transients in solids: Free induction decay and transient nutations
    Shakhmuratov, RN
    Gelardi, FM
    Cannas, M
    PHYSICAL REVIEW LETTERS, 1997, 79 (16) : 2963 - 2966
  • [37] Detecting topological invariants of quasicrystals in optical lattices
    Liu, Sheng
    Hou, Qizhe
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2017, 50 (24)
  • [38] Quantum topological invariants, gravitational instantons and the topological embedding
    Anselmi, D
    CLASSICAL AND QUANTUM GRAVITY, 1997, 14 (08) : 2031 - 2047
  • [39] Non-Bloch band theory in bosonic Bogoliubov-de Gennes systems
    Yokomizo, Kazuki
    Murakami, Shuichi
    PHYSICAL REVIEW B, 2021, 103 (16)
  • [40] Quantum mechanical symmetries and topological invariants
    Samani, KA
    Mostafazadeh, A
    NUCLEAR PHYSICS B, 2001, 595 (1-2) : 467 - 492