{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:29:20Z","timestamp":1760146160194,"version":"build-2065373602"},"reference-count":29,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2024,10,10]],"date-time":"2024-10-10T00:00:00Z","timestamp":1728518400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Space Application System of China Manned Space Program","award":["(2020)14)","2021ZD0300902"],"award-info":[{"award-number":["(2020)14)","2021ZD0300902"]}]},{"name":"Innovation Program for Quantum Science and Technology","award":["(2020)14)","2021ZD0300902"],"award-info":[{"award-number":["(2020)14)","2021ZD0300902"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Density\u2013density correlation analysis is a convenient diagnostic tool to reveal the hidden order in the strongly correlated phases of ultracold atoms. We report on a study of the density\u2013density correlations of ultracold bosonic atoms which were initially prepared in a Mott insulator (MI) state in one-dimensional optical lattices. For the atomic gases released from the deep optical lattice, we extracted the normalized density\u2013density correlation function from the atomic density distributions of freely expanded atomic clouds. Periodic bunching peaks were observed in the density\u2013density correlation spectra, as in the case of higher-dimensional lattices. Treating the bosonic gas within each lattice well as a subcondensate without quantum tunneling, we simulated the post-expansion density distribution along the direction of the 1D lattice, and the calculated density\u2013density correlation spectra agreed with our experimental observations.<\/jats:p>","DOI":"10.3390\/e26100854","type":"journal-article","created":{"date-parts":[[2024,10,10]],"date-time":"2024-10-10T07:53:05Z","timestamp":1728546785000},"page":"854","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Density\u2013Density Correlation Spectra of Ultracold Bosonic Gas Released from a Deep 1D Optical Lattice"],"prefix":"10.3390","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-3929-3719","authenticated-orcid":false,"given":"Yunzhi","family":"Tan","sequence":"first","affiliation":[{"name":"Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiang","family":"Zhu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bing","family":"Wang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jingran","family":"Shi","sequence":"additional","affiliation":[{"name":"Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0573-0120","authenticated-orcid":false,"given":"Dezhi","family":"Xiong","sequence":"additional","affiliation":[{"name":"Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Baolong","family":"Lyu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China"},{"name":"Hefei National Laboratory, Hefei 230088, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,10,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"013603","DOI":"10.1103\/PhysRevA.70.013603","article-title":"Probing many-body states of ultracold atoms via noise correlations","volume":"70","author":"Altman","year":"2004","journal-title":"Phys. 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