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An external homogeneous magnetic\nfield displaces the trap center in a direction and magnitude proportional to\nthe field. By reversing the quadrupole polarity between experimental shots and\ncomparing the resulting cloud positions, we extract a differential displacement\nsignal that is free from common-mode effects such as gravity and weak magnetic-\nfield inhomogeneities. The signal is directionally proportional to the external\nfield and requires only absorption imaging, without spectroscopic interrogation.\nAssuming micron-scale position resolution, the technique enables field resolution at the milli-Gauss level. It offers a practical tool for field compensation in\nmagnetically sensitive experimental stages, bridging operational regimes from\nEarth-level fields to atomic magnetometry. A straightforward extension to full\nthree-dimensional sensing is possible with only a minimal addition to standard\ncold-atom infrastructure."}}]},{"typeName":"subject","multiple":true,"typeClass":"controlledVocabulary","value":["Physics"]},{"typeName":"keyword","multiple":true,"typeClass":"compound","value":[{"keywordValue":{"typeName":"keywordValue","multiple":false,"typeClass":"primitive","value":"cold atoms"}},{"keywordValue":{"typeName":"keywordValue","multiple":false,"typeClass":"primitive","value":"quantum sensing"}},{"keywordValue":{"typeName":"keywordValue","multiple":false,"typeClass":"primitive","value":"magnetic sensing"}},{"keywordValue":{"typeName":"keywordValue","multiple":false,"typeClass":"primitive","value":"differential metrology"}}]},{"typeName":"publication","multiple":true,"typeClass":"compound","value":[{"publicationCitation":{"typeName":"publicationCitation","multiple":false,"typeClass":"primitive","value":"Á. 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