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    "title": "Mazurenko and colleagues: finite-size antiferromagnetism in a cold-atom Hubbard simulator",
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      "statement": "# Mazurenko and colleagues: finite-size antiferromagnetism in a cold-atom Hubbard simulator\n\nMazurenko and colleagues arranged cold fermionic atoms in a square optical lattice and measured antiferromagnetic spin correlations across a finite region of roughly eighty sites. A quantum gas microscope resolved individual sites, while comparisons with numerical models helped estimate temperature and interpret the correlations. The experiment created a useful low-temperature Hubbard-model simulator. It did not establish finite-temperature long-range order in an infinite two-dimensional system or solve the full doped-Hubbard phase diagram.\n\n## Scientific scope\n\nThe reported long-range order is finite-size order, not finite-temperature spontaneous breaking of continuous spin symmetry in the infinite two-dimensional system or a violation of Mermin–Wagner. Temperature and hole-doping calibration use theoretical numerical inputs; the 15 percent crossover is not a universal thermodynamic critical doping. No d-wave superconductivity, pseudogap phase, resolved incommensurate order or general solution of the doped Hubbard model is demonstrated. The measured staggered component has zero mean across shots even when its rms fluctuations and correlations are substantial.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nAnton Mazurenko; Christie S. Chiu; Geoffrey Ji; Maxwell F. Parsons; Márton Kanász-Nagy; Richard Schmidt; Fabian Grusdt; Eugene Demler; Daniel Greif; Markus Greiner\n\nSource-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.\n\n\n\n## Original sources\n\n- [A cold-atom Fermi–Hubbard antiferromagnet (Nature545462–466 plusMethods/ExtendedData, NSFpubliccopy)](https://par.nsf.gov/servlets/purl/10059594)\n",
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    "what_changed": "Mazurenko and colleagues arranged cold fermionic atoms in a square optical lattice and measured antiferromagnetic spin correlations across a finite region of roughly eighty sites. A quantum gas microscope resolved individual sites, while comparisons with numerical models helped estimate temperature and interpret the correlations. The experiment created a useful low-temperature Hubbard-model simulator. It did not establish finite-temperature long-range order in an infinite two-dimensional system or solve the full doped-Hubbard phase diagram.",
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