High-precision analysis of Feshbach resonances in a Mott insulator
We show that recent high-precision measurements of relative on-site interaction energies ΔU in a Mott insulator require a theoretical description beyond the standard Hubbard-model interpretation, when combined with an accurate coupled-channels calculation. In contrast to more sophisticated lattice m...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society (APS)
2021
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| Online Access: | https://hdl.handle.net/1721.1/136001 |
| _version_ | 1826209573425381376 |
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| author | Secker, Thomas Amato-Grill, Jesse Ketterle, Wolfgang Kokkelmans, Servaas |
| author2 | Massachusetts Institute of Technology. Research Laboratory of Electronics |
| author_facet | Massachusetts Institute of Technology. Research Laboratory of Electronics Secker, Thomas Amato-Grill, Jesse Ketterle, Wolfgang Kokkelmans, Servaas |
| author_sort | Secker, Thomas |
| collection | MIT |
| description | We show that recent high-precision measurements of relative on-site interaction energies ΔU in a Mott insulator require a theoretical description beyond the standard Hubbard-model interpretation, when combined with an accurate coupled-channels calculation. In contrast to more sophisticated lattice models, which can be elaborate especially for parameter optimization searches, we introduce an easy to use effective description of U valid over a wide range of interaction strengths modeling atomic pairs confined to single lattice sites. This concise model allows for a straightforward combination with a coupled-channels analysis. With this model we perform such a coupled-channels analysis of high-precision Li7 spectroscopic data on the on-site interaction energy U, which spans over four Feshbach resonances and provide an accurate and consistent determination of the associated resonance positions. Earlier experiments on three of the Feshbach resonances are consistent with this analysis. Moreover, we verify our model with a more rigorous numerical treatment of the two atom system in an optical lattice. |
| first_indexed | 2024-09-23T14:24:37Z |
| format | Article |
| id | mit-1721.1/136001 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:24:37Z |
| publishDate | 2021 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/1360012023-02-24T17:44:54Z High-precision analysis of Feshbach resonances in a Mott insulator Secker, Thomas Amato-Grill, Jesse Ketterle, Wolfgang Kokkelmans, Servaas Massachusetts Institute of Technology. Research Laboratory of Electronics MIT-Harvard Center for Ultracold Atoms Massachusetts Institute of Technology. Department of Physics We show that recent high-precision measurements of relative on-site interaction energies ΔU in a Mott insulator require a theoretical description beyond the standard Hubbard-model interpretation, when combined with an accurate coupled-channels calculation. In contrast to more sophisticated lattice models, which can be elaborate especially for parameter optimization searches, we introduce an easy to use effective description of U valid over a wide range of interaction strengths modeling atomic pairs confined to single lattice sites. This concise model allows for a straightforward combination with a coupled-channels analysis. With this model we perform such a coupled-channels analysis of high-precision Li7 spectroscopic data on the on-site interaction energy U, which spans over four Feshbach resonances and provide an accurate and consistent determination of the associated resonance positions. Earlier experiments on three of the Feshbach resonances are consistent with this analysis. Moreover, we verify our model with a more rigorous numerical treatment of the two atom system in an optical lattice. 2021-10-27T20:30:18Z 2021-10-27T20:30:18Z 2020 2021-07-09T12:26:53Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136001 en 10.1103/PHYSREVA.101.042703 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society (APS) APS |
| spellingShingle | Secker, Thomas Amato-Grill, Jesse Ketterle, Wolfgang Kokkelmans, Servaas High-precision analysis of Feshbach resonances in a Mott insulator |
| title | High-precision analysis of Feshbach resonances in a Mott insulator |
| title_full | High-precision analysis of Feshbach resonances in a Mott insulator |
| title_fullStr | High-precision analysis of Feshbach resonances in a Mott insulator |
| title_full_unstemmed | High-precision analysis of Feshbach resonances in a Mott insulator |
| title_short | High-precision analysis of Feshbach resonances in a Mott insulator |
| title_sort | high precision analysis of feshbach resonances in a mott insulator |
| url | https://hdl.handle.net/1721.1/136001 |
| work_keys_str_mv | AT seckerthomas highprecisionanalysisoffeshbachresonancesinamottinsulator AT amatogrilljesse highprecisionanalysisoffeshbachresonancesinamottinsulator AT ketterlewolfgang highprecisionanalysisoffeshbachresonancesinamottinsulator AT kokkelmansservaas highprecisionanalysisoffeshbachresonancesinamottinsulator |