2021/03/24 by Shun-Yao Zhang, Dong-Ling Deng
Mathematics · Physics and Astronomy · #Algorithm #Mathematical physics #Mathematics #Physics #Quantum #Quantum and electron transport phenomena #Quantum computer #Quantum many-body systems #Quantum mechanics #Quasiparticle #Scrambling #Superconductivity #Topological Materials and Phenomena #cond-mat.stat-mech #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevb.103.195156
published as Phys. Rev. B 103, 195156 (2021) · 5 pages, 4 figures, plus Supplementary Materials
arxiv created 2021/03/24 · openalex created_date 2021/03/29 · openalex publication_date 2021/05/27 · arxiv updated 2021/06/02 · openalex updated_date 2026/08/05
Parafermions are exotic quasiparticles with non-Abelian fractional statistics that could be exploited to realize universal topological quantum computing. Here, we study the scrambling of quantum information in one-dimensional parafermionic chains, with a focus on ℤ3 parafermions in particular. We use the generalized out-of-time-ordered correlators (OTOCs) as a measure of the information scrambling and introduce an efficient method based on matrix product operators to compute them. With this method, we compute the OTOCs for ℤ3 parafermions chains up to 200 sites for the entire early growth region. We find that, in stark contrast to the dynamics of conventional fermions or bosons, the information scrambling light cones for parafermions can be both symmetric and asymmetric, even for inversion-invariant Hamiltonians involving only hopping terms. In addition, we find a deformed light cone structure with a sharp peak at the boundary of the parafermion chains in the topological regime, which gives unambiguous evidence of the strong zero modes at infinite temperature.