Title | Many-body topological invariants from randomized measurements in synthetic quantum matter |
Publication Type | Journal Article |
Year of Publication | 2020 |
Authors | A. Elben, J. Yu, G. Zhu, M. Hafezi, F. Pollmann, P. Zoller, and B\^ıt. Vermersch |
Journal | Science Advances |
Volume | 6 |
Abstract | Many-body topological invariants, as quantized highly nonlocal correlators of the many-body wave function, are at the heart of the theoretical description of many-body topological quantum phases, including symmetry-protected and symmetry-enriched topological phases. Here, we propose and analyze a universal toolbox of measurement protocols to reveal many-body topological invariants of phases with global symmetries, which can be implemented in state-of-the-art experiments with synthetic quantum systems, such as Rydberg atoms, trapped ions, and superconducting circuits. The protocol is based on extracting the many-body topological invariants from statistical correlations of randomized measurements, implemented with local random unitary operations followed by site-resolved projective measurements. We illustrate the technique and its application in the context of the complete classification of bosonic symmetry-protected topological phases in one dimension, considering in particular the extended Su-Schrieffer-Heeger spin model, as realized with Rydberg tweezer arrays. |
URL | https://advances.sciencemag.org/content/6/15/eaaz3666 |
DOI | 10.1126/sciadv.aaz3666 |