Year: 2021
Type: article
Abstract: 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 ${\mathbb{Z}}_{3}$ 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 ${\mathbb{Z}}_{3}$ 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.
Authors: Shun-Yao Zhang, Dong-Ling Deng
Institutions: Tsinghua University, Shanghai Qi Zhi Institute
Language: Latvian
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G1941418377, G3214299851
OpenAlex ID: W3137833765