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28 March 2024
 
  » arxiv » 2002.0098

 Article overview


Lifetime of almost strong edge-mode operators in one dimensional, interacting, symmetry protected topological phases
Daniel J. Yates ; Alexander G. Abanov ; Aditi Mitra ;
Date 1 Feb 2020
AbstractAlmost strong edge-mode operators arising at the boundaries of certain interacting 1D symmetry protected topological phases with (Z_2) symmetry have infinite temperature lifetimes that are non-perturbatively long in the integrability breaking terms, making them promising as bits for quantum information processing. We extract the lifetime of these edge-mode operators for small system sizes as well as in the thermodynamic limit. For the latter, a Lanczos scheme is employed to map the operator dynamics to a one dimensional tight-binding model of a single particle in Krylov space. We find this model to be that of a spatially inhomogeneous Su-Schrieffer-Heeger model with a hopping amplitude and dimerization respectively increasing and decreasing away from the boundary. Thus the short time dynamics of the almost strong mode is that of the edge-mode of the Su-Schrieffer-Heeger model, while the long time dynamics involves decay due to tunneling out of that mode, followed by chaotic operator spreading. We also show that competing scattering processes can lead to interference effects that can significantly enhance the lifetime.
Source arXiv, 2002.0098
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