4.8 Article

String patterns in the doped Hubbard model

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SCIENCE
卷 365, 期 6450, 页码 251-+

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AMER ASSOC ADVANCEMENT SCIENCE
DOI: 10.1126/science.aav3587

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资金

  1. AFOSR [FA9550-14-10035, FA9550-16-10323]
  2. DoD NDSEG
  3. Gordon and Betty Moore Foundation EPIQS program [6791]
  4. NSF GRFP [PHY-1506203, PHY-1734011, DMR-1308435]
  5. ONR [N00014-18-1-2863]
  6. SNSF
  7. Studienstiftung des deutschen Volkes
  8. Technical University of Munich-Institute for Advanced Study - German Excellence Initiative
  9. European Union [291763]
  10. Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy through DFG [EXC-2111-390814868, KN1254/1-1]
  11. DFG [TRR80]

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Understanding strongly correlated quantum many-body states is one of the most difficult challenges in modern physics. For example, there remain fundamental open questions on the phase diagram of the Hubbard model, which describes strongly correlated electrons in solids. In this work, we realize the Hubbard Hamiltonian and search for specific patterns within the individual images of many realizations of strongly correlated ultracold fermions in an optical lattice. Upon doping a cold-atom antiferromagnet, we find consistency with geometric strings, entities that may explain the relationship between hole motion and spin order, in both pattern-based and conventional observables. Our results demonstrate the potential for pattern recognition to provide key insights into cold-atom quantum many-body systems.

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