2017/10/31 by Zongping Gong, Masahito Ueda · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Fermion #Physics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Spectrum (functional analysis) #Topological Materials and Phenomena #Topological entropy in physics #Topological quantum number #Topology (electrical circuits) #cond-mat.quant-gas #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physrevlett.121.250601
published as Phys. Rev. Lett. 121, 250601 (2018) · 6+15 pages, 3+12 figures, 1+1 tables
arxiv created 2018/06/15 · openalex publication_date 2018/12/19 · arxiv updated 2018/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We unveil the stable (d+1)-dimensional topological structures underlying the quench dynamics for all of the Altland-Zirnbauer classes in d=1 dimension, and we propose to detect such dynamical topology from the time evolution of entanglement spectra. Focusing on systems in classes BDI and D, we find crossings in single-particle entanglement spectra for quantum quenches between different symmetry-protected topological phases. The entanglement-spectrum crossings are shown to be stable against symmetry-preserving disorder and faithfully reflect both Z (class BDI) and Z2 (class D) topological characterizations. As a by-product, we unravel the topological origin of the global degeneracies temporarily emerging in the many-body entanglement spectrum in the quench dynamics of the transverse-field Ising model. These findings can experimentally be tested in ultracold atoms and trapped ions with the help of cutting-edge tomography for quantum many-body states. Our work paves the way towards a systematic understanding of the role of topology in quench dynamics.