2021/10/31 by Maurizio Fagotti
Physics and Astronomy · #Conjecture #Invariant (physics) #Limit (mathematics) #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Quantum many-body systems #Spin (aerodynamics) #Theoretical and Computational Physics #Topological Materials and Phenomena #cond-mat.stat-mech #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevlett.128.110602
published as Phys. Rev. Lett. 128, 110602 (2022) · 6 pages, 3 figures; v4: minor refinement
arxiv created 2022/03/17 · openalex publication_date 2022/03/17 · arxiv updated 2022/03/18 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/22
We investigate the effect of a single spin flip preceding a global quench between translationally invariant local Hamiltonians in spin-\tfrac12 chains. The effect of the localised perturbation does not fade away however large the distance from the perturbation is. In particular, translational invariance is not restored and the infinite time limit depends on whether the spin was flipped or not. We argue that this phenomenon is more general than the particular example considered and we conjecture that it is triggered by topological properties, specifically, the existence of "semilocal charges".