Direct Measurement of Topological Numbers with Spins in Diamond
At a Glance
Section titled āAt a Glanceā| Metadata | Details |
|---|---|
| Publication Date | 2016-08-04 |
| Journal | Physical Review Letters |
| Authors | Fei Kong, Chenyong Ju, Ying Liu, Chao Lei, Mengqi Wang |
| Institutions | CAS Key Laboratory of Urban Pollutant Conversion, University of Science and Technology of China |
| Citations | 41 |
Abstract
Section titled āAbstractāTopological numbers can characterize the transition between different topological phases, which are not described by Landauās paradigm of symmetry breaking. Since the discovery of the quantum Hall effect, more topological phases have been theoretically predicted and experimentally verified. However, it is still an experimental challenge to directly measure the topological numbers of various predicted topological phases. In this Letter, we demonstrate quantum simulation of topological phase transition of a quantum wire (QW), by precisely modulating the Hamiltonian of a single nitrogen-vacancy (NV) center in diamond. Deploying a quantum algorithm of finding eigenvalues, we reliably extract both the dispersion relations and topological numbers. This method can be further generalized to simulate more complicated topological systems.
Tech Support
Section titled āTech SupportāOriginal Source
Section titled āOriginal SourceāReferences
Section titled āReferencesā- 1998 - Topological Quantum Numbers in Nonrelativistic Physics [Crossref]