Geometric squeezing into the lowest Landau level
The equivalence between particles under rotation and charged particles in a magnetic field relates phenomena as diverse as spinning atomic nuclei, weather patterns, and the quantum Hall effect. For such systems, quantum mechanics dictates that translations along different directions do not commute,...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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American Association for the Advancement of Science (AAAS)
2022
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| Online Access: | https://hdl.handle.net/1721.1/141770 |
| _version_ | 1826212813229522944 |
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| author | Fletcher, Richard J Shaffer, Airlia Wilson, Cedric C Patel, Parth B Yan, Zhenjie Crépel, Valentin Mukherjee, Biswaroop Zwierlein, Martin W |
| author2 | MIT-Harvard Center for Ultracold Atoms |
| author_facet | MIT-Harvard Center for Ultracold Atoms Fletcher, Richard J Shaffer, Airlia Wilson, Cedric C Patel, Parth B Yan, Zhenjie Crépel, Valentin Mukherjee, Biswaroop Zwierlein, Martin W |
| author_sort | Fletcher, Richard J |
| collection | MIT |
| description | The equivalence between particles under rotation and charged particles in a magnetic field relates phenomena as diverse as spinning atomic nuclei, weather patterns, and the quantum Hall effect. For such systems, quantum mechanics dictates that translations along different directions do not commute, implying a Heisenberg uncertainty relation between spatial coordinates. We implement squeezing of this geometric quantum uncertainty, resulting in a rotating Bose-Einstein condensate occupying a single Landau gauge wave function. We resolve the extent of zero-point cyclotron orbits and demonstrate geometric squeezing of the orbits’ centers 7 decibels below the standard quantum limit. The condensate attains an angular momentum exceeding 1000 quanta per particle and an interatomic distance comparable to the cyclotron orbit. This offers an alternative route toward strongly correlated bosonic fluids. |
| first_indexed | 2024-09-23T15:38:39Z |
| format | Article |
| id | mit-1721.1/141770 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:38:39Z |
| publishDate | 2022 |
| publisher | American Association for the Advancement of Science (AAAS) |
| record_format | dspace |
| spelling | mit-1721.1/1417702023-06-12T17:38:43Z Geometric squeezing into the lowest Landau level Fletcher, Richard J Shaffer, Airlia Wilson, Cedric C Patel, Parth B Yan, Zhenjie Crépel, Valentin Mukherjee, Biswaroop Zwierlein, Martin W MIT-Harvard Center for Ultracold Atoms Massachusetts Institute of Technology. Research Laboratory of Electronics Massachusetts Institute of Technology. Department of Physics The equivalence between particles under rotation and charged particles in a magnetic field relates phenomena as diverse as spinning atomic nuclei, weather patterns, and the quantum Hall effect. For such systems, quantum mechanics dictates that translations along different directions do not commute, implying a Heisenberg uncertainty relation between spatial coordinates. We implement squeezing of this geometric quantum uncertainty, resulting in a rotating Bose-Einstein condensate occupying a single Landau gauge wave function. We resolve the extent of zero-point cyclotron orbits and demonstrate geometric squeezing of the orbits’ centers 7 decibels below the standard quantum limit. The condensate attains an angular momentum exceeding 1000 quanta per particle and an interatomic distance comparable to the cyclotron orbit. This offers an alternative route toward strongly correlated bosonic fluids. 2022-04-07T18:46:38Z 2022-04-07T18:46:38Z 2021 2022-04-07T18:33:13Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/141770 Fletcher, Richard J, Shaffer, Airlia, Wilson, Cedric C, Patel, Parth B, Yan, Zhenjie et al. 2021. "Geometric squeezing into the lowest Landau level." Science, 372 (6548). en 10.1126/SCIENCE.ABA7202 Science Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf American Association for the Advancement of Science (AAAS) arXiv |
| spellingShingle | Fletcher, Richard J Shaffer, Airlia Wilson, Cedric C Patel, Parth B Yan, Zhenjie Crépel, Valentin Mukherjee, Biswaroop Zwierlein, Martin W Geometric squeezing into the lowest Landau level |
| title | Geometric squeezing into the lowest Landau level |
| title_full | Geometric squeezing into the lowest Landau level |
| title_fullStr | Geometric squeezing into the lowest Landau level |
| title_full_unstemmed | Geometric squeezing into the lowest Landau level |
| title_short | Geometric squeezing into the lowest Landau level |
| title_sort | geometric squeezing into the lowest landau level |
| url | https://hdl.handle.net/1721.1/141770 |
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