Journal
SCIENCE
Volume 357, Issue 6350, Pages 484-+Publisher
AMER ASSOC ADVANCEMENT SCIENCE
DOI: 10.1126/science.aam8990
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Funding
- Max Planck Society (MPG)
- European Union (UQUAM)
- Harvard-Massachusetts Institute of Technology Center for Ultracold Atoms (CUA), NSF [DMR-1308435]
- Moore Foundation
- Air Force Office of Scientific Research (AFOSR) Quantum Simulation MURI
- AFOSR MURI Photonic Quantum Matter
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1308435] Funding Source: National Science Foundation
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Topological phases, like the Haldane phase in spin-1 chains, defy characterization through local order parameters. Instead, nonlocal string order parameters can be employed to reveal their hidden order. Similar dilutedmagnetic correlations appear in doped one-dimensional lattice systems owing to the phenomenon of spin-charge separation. Here we report on the direct observation of such hidden magnetic correlations via quantum gas microscopy of hole-doped ultracold Fermi-Hubbard chains. The measurement of nonlocal spin-density correlation functions reveals a hidden finite-range antiferromagnetic order, a direct consequence of spin-charge separation. Our technique, which measures nonlocal order directly, can be readily extended to higher dimensions to study the complex interplay between magnetic order and density fluctuations.
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