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Observation of Topological Links Associated with Hopf Insulators in a Solid-State Quantum Simulator

TitleObservation of Topological Links Associated with Hopf Insulators in a Solid-State Quantum Simulator
Publication TypeJournal Article
Year of Publication2017
AuthorsX.. - X. Yuan, L.. He, S.. - T. Wang, D.. - L. Deng, F.. Wang, W.. - Q. Lian, X. Wang, C.. - H. Zhang, H.. - L. Zhang, X.. - Y. Chang, and L.. - M. Duan
JournalCHINESE PHYSICS LETTERS
Volume34
Pagination060302
Date PublishedJUN
Type of ArticleArticle
ISSN0256-307X
Abstract

Hopf insulators are intriguing three-dimensional topological insulators characterized by an integer topological invariant. They originate from the mathematical theory of Hopf fibration and epitomize the deep connection between knot theory and topological phases of matter, which distinguishes them from other classes of topological insulators. Here, we implement a model Hamiltonian for Hopf insulators in a solid-state quantum simulator and report the first experimental observation of their topological properties, including nontrivial topological links associated with the Hopf fibration and the integer-valued topological invariant obtained from a direct tomographic measurement. Our observation of topological links and Hopf fibration in a quantum simulator opens the door to probe rich topological properties of Hopf insulators in experiments. The quantum simulation and probing methods are also applicable to the study of other intricate three-dimensional topological model Hamiltonians.}, %%Address = {TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND

DOI10.1088/0256-307X/34/6/060302