Many-body topological invariants from randomized measurements in synthetic quantum matter.

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 measureme

SUBMITTER: Elben A 

PROVIDER: S-EPMC7148113 | biostudies-literature | 2020 Apr

REPOSITORIES: biostudies-literature