2021/12/27 by Yefei Yu, Li-Wei Yu, Yu, Yefei +13 · 3 citations
Chemistry · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Molecular spectroscopy and chirality #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.2112.13785
openalex publication_date 2021/12/27 · openalex created_date 2022/10/08 · openalex updated_date 2026/07/28
Non-Hermiticity has widespread applications in quantum physics. It brings about distinct topological phases without Hermitian counterparts, and gives rise to the fundamental challenge of phase classification from both theoretical and experimental aspects. Here we report the first experimental demonstration of unsupervised learning of non-Hermitian topological phases with the nitrogen-vacancy center platform. In particular, we implement the non-Hermitian twister model, which hosts peculiar knotted topological phases, with a solid-state quantum simulator consisting of an electron spin and a nearby 13C nuclear spin in a nitrogen-vacancy center in diamond. By tuning the microwave pulses, we efficiently generate a set of experimental data without phase labels. Furthermore, based on the diffusion map method, we cluster this set of experimental raw data into three different knotted phases in an unsupervised fashion without a priori knowledge of the system, which is in sharp contrast to the previously implemented supervised learning phases of matter. Our results showcase the intriguing potential for autonomous classification of exotic unknown topological phases with experimental raw data.