Nondestructive probing of means, variances, and correlations of ultracold-atomic-system densities via qubit impurities
We show how impurity atoms can measure moments of ultracold atomic gas densities, using the example of bosons in a one-dimensional lattice. This builds on a body of work regarding the probing of systems by measuring the dephasing of an immersed qubit. We show this dephasing is captured by a function...
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| Format: | Journal article |
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American Physical Society
2016
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| _version_ | 1826288528814768128 |
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| author | Elliott, T Johnson, T |
| author_facet | Elliott, T Johnson, T |
| author_sort | Elliott, T |
| collection | OXFORD |
| description | We show how impurity atoms can measure moments of ultracold atomic gas densities, using the example of bosons in a one-dimensional lattice. This builds on a body of work regarding the probing of systems by measuring the dephasing of an immersed qubit. We show this dephasing is captured by a function resembling characteristic functions of probability theory, of which the derivatives at short times reveal moments of the system operator to which the qubit couples. For a qubit formed by an impurity atom, in a system of ultracold atoms, this operator can be the density of the system at the location of the impurity, and thus, means, variances, and correlations of the atomic densities are accessible. |
| first_indexed | 2024-03-07T02:15:04Z |
| format | Journal article |
| id | oxford-uuid:a1efc079-6291-4471-a7dd-837a4aaa3951 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:15:04Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:a1efc079-6291-4471-a7dd-837a4aaa39512022-03-27T02:16:46ZNondestructive probing of means, variances, and correlations of ultracold-atomic-system densities via qubit impuritiesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a1efc079-6291-4471-a7dd-837a4aaa3951Symplectic Elements at OxfordAmerican Physical Society2016Elliott, TJohnson, TWe show how impurity atoms can measure moments of ultracold atomic gas densities, using the example of bosons in a one-dimensional lattice. This builds on a body of work regarding the probing of systems by measuring the dephasing of an immersed qubit. We show this dephasing is captured by a function resembling characteristic functions of probability theory, of which the derivatives at short times reveal moments of the system operator to which the qubit couples. For a qubit formed by an impurity atom, in a system of ultracold atoms, this operator can be the density of the system at the location of the impurity, and thus, means, variances, and correlations of the atomic densities are accessible. |
| spellingShingle | Elliott, T Johnson, T Nondestructive probing of means, variances, and correlations of ultracold-atomic-system densities via qubit impurities |
| title | Nondestructive probing of means, variances, and correlations of ultracold-atomic-system densities via qubit impurities |
| title_full | Nondestructive probing of means, variances, and correlations of ultracold-atomic-system densities via qubit impurities |
| title_fullStr | Nondestructive probing of means, variances, and correlations of ultracold-atomic-system densities via qubit impurities |
| title_full_unstemmed | Nondestructive probing of means, variances, and correlations of ultracold-atomic-system densities via qubit impurities |
| title_short | Nondestructive probing of means, variances, and correlations of ultracold-atomic-system densities via qubit impurities |
| title_sort | nondestructive probing of means variances and correlations of ultracold atomic system densities via qubit impurities |
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