Experimental observation of dynamical bulk-surface correspondence for topological phases

Ya Wang, Wentao Ji, Zihua Chai, Yuhang Guo, Mengqi Wang, Xiangyu Ye, Pei Yu, Long Zhang, Xi Qin, Pengfei Wang, Fazhan Shi, Xing Rong, Dawei Lu, Xiong-Jun Liu, Jiangfeng Du

Published 2019-04-19Version 1

We experimentally demonstrate a dynamical classification approach for investigation of topological quantum phases using a solid-state spin system through nitrogen-vacancy (NV) center in diamond. Similar to the bulkboundary correspondence in real space at equilibrium, we observe a dynamical bulk-surface correspondence in the momentum space from a dynamical quench process. An emergent dynamical topological invariant is precisely measured in experiment by imaging the dynamical spin-textures on the recently defined band-inversion surfaces, with high topological numbers being implemented. Importantly, the dynamical classification approach is shown to be independent of quench ways and robust to the decoherence effects, offering a novel and practical strategy for dynamical topology characterization, especially for high dimensional gapped topological phases.