{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1363670320791227520.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1126/science.aag3349"}},{"identifier":{"@type":"URI","@value":"https://www.science.org/doi/pdf/10.1126/science.aag3349"}}],"dc:title":[{"@value":"Observation of spatial charge and spin correlations in the 2D Fermi-Hubbard model"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p>Strong electron correlations lie at the origin of high-temperature superconductivity. Its essence is believed to be captured by the Fermi-Hubbard model of repulsively interacting fermions on a lattice. Here we report on the site-resolved observation of charge and spin correlations in the two-dimensional (2D) Fermi-Hubbard model realized with ultracold atoms. Antiferromagnetic spin correlations are maximal at half-filling and weaken monotonically upon doping. At large doping, nearest-neighbor correlations between singly charged sites are negative, revealing the formation of a correlation hole, the suppressed probability of finding two fermions near each other. As the doping is reduced, the correlations become positive, signaling strong bunching of doublons and holes, in agreement with numerical calculations. The dynamics of the doublon-hole correlations should play an important role for transport in the Fermi-Hubbard model.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1383670320791227525","@type":"Researcher","foaf:name":[{"@value":"Lawrence W. Cheuk"}],"jpcoar:affiliationName":[{"@value":"Department of Physics, MIT-Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, Massachusetts Institute of Technology (MIT), Cambridge, MA 02139, USA."}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320791227522","@type":"Researcher","foaf:name":[{"@value":"Matthew A. Nichols"}],"jpcoar:affiliationName":[{"@value":"Department of Physics, MIT-Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, Massachusetts Institute of Technology (MIT), Cambridge, MA 02139, USA."}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320791227523","@type":"Researcher","foaf:name":[{"@value":"Katherine R. Lawrence"}],"jpcoar:affiliationName":[{"@value":"Department of Physics, MIT-Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, Massachusetts Institute of Technology (MIT), Cambridge, MA 02139, USA."}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320791227524","@type":"Researcher","foaf:name":[{"@value":"Melih Okan"}],"jpcoar:affiliationName":[{"@value":"Department of Physics, MIT-Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, Massachusetts Institute of Technology (MIT), Cambridge, MA 02139, USA."}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320791227520","@type":"Researcher","foaf:name":[{"@value":"Hao Zhang"}],"jpcoar:affiliationName":[{"@value":"Department of Physics, MIT-Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, Massachusetts Institute of Technology (MIT), Cambridge, MA 02139, USA."}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320791227528","@type":"Researcher","foaf:name":[{"@value":"Ehsan Khatami"}],"jpcoar:affiliationName":[{"@value":"Department of Physics and Astronomy, San José State University, San José, CA 95192, USA."}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320791227527","@type":"Researcher","foaf:name":[{"@value":"Nandini Trivedi"}],"jpcoar:affiliationName":[{"@value":"Department of Physics, The Ohio State University, Columbus, OH 43210, USA."}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320791227529","@type":"Researcher","foaf:name":[{"@value":"Thereza Paiva"}],"jpcoar:affiliationName":[{"@value":"Instituto de Fisica, Universidade Federal do Rio de Janeiro, Caixa Postal 68.528, 21941-972 Rio de Janeiro, RJ, Brazil."}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320791227526","@type":"Researcher","foaf:name":[{"@value":"Marcos Rigol"}],"jpcoar:affiliationName":[{"@value":"Department of Physics, The Pennsylvania State University, University Park, PA 16802, USA."}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320791227521","@type":"Researcher","foaf:name":[{"@value":"Martin W. Zwierlein"}],"jpcoar:affiliationName":[{"@value":"Department of Physics, MIT-Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, Massachusetts Institute of Technology (MIT), Cambridge, MA 02139, USA."}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"00368075"},{"@type":"EISSN","@value":"10959203"}],"prism:publicationName":[{"@value":"Science"}],"dc:publisher":[{"@value":"American Association for the Advancement of Science (AAAS)"}],"prism:publicationDate":"2016-09-16","prism:volume":"353","prism:number":"6305","prism:startingPage":"1260","prism:endingPage":"1264"},"reviewed":"false","url":[{"@id":"https://www.science.org/doi/pdf/10.1126/science.aag3349"}],"createdAt":"2016-09-15","modifiedAt":"2024-01-15","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1050567903432023040","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Schemes for nondestructive quantum gas microscopy of single atoms in an optical lattice"}]},{"@id":"https://cir.nii.ac.jp/crid/1360004234989122816","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Entanglement and corner Hamiltonian spectra of integrable open spin chains"}]},{"@id":"https://cir.nii.ac.jp/crid/1360013168725029120","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Universal thermodynamics of an \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:math>\n Fermi-Hubbard model"}]},{"@id":"https://cir.nii.ac.jp/crid/1360283692793831808","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Symmetry-protected topological phase transition in one-dimensional Kondo lattice and its 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correlations in an ultracold SU(N) Hubbard model"}]},{"@id":"https://cir.nii.ac.jp/crid/1360861705565681664","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Universal description of dissipative Tomonaga-Luttinger liquids with \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>\n spin symmetry: Exact spectrum and critical exponents"}]},{"@id":"https://cir.nii.ac.jp/crid/1360865815698114816","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Extraction of important degrees of freedom in quantum dynamics using singular value decomposition: Application to linear optical spectrum in two-dimensional Mott insulators"}]},{"@id":"https://cir.nii.ac.jp/crid/1360869856029360000","@type":"Article","resourceType":"学術雑誌論文(journal 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