Geometric squeezing of rotating quantum gases into the lowest Landau level
The simulation of quantum Hall physics with rotating quantum gases is witnessing a revival due to recent experimental advances that enabled the observation of a Bose–Einstein condensate entirely contained in its lowest kinetic energy state, i.e. the lowest Landau level. We theoretically describe thi...
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Académie des sciences
2024-03-01
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Series: | Comptes Rendus. Physique |
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Online Access: | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.173/ |
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author | Crépel, Valentin Yao, Ruixiao Mukherjee, Biswaroop Fletcher, Richard Zwierlein, Martin |
author_facet | Crépel, Valentin Yao, Ruixiao Mukherjee, Biswaroop Fletcher, Richard Zwierlein, Martin |
author_sort | Crépel, Valentin |
collection | DOAJ |
description | The simulation of quantum Hall physics with rotating quantum gases is witnessing a revival due to recent experimental advances that enabled the observation of a Bose–Einstein condensate entirely contained in its lowest kinetic energy state, i.e. the lowest Landau level. We theoretically describe this experimental result, and show that it can be interpreted as a squeezing of the geometric degree of freedom of the problem, the guiding center metric. This “geometric squeezing” offers an unprecedented experimental control over the quantum geometry in Landau-level analogues, and at the same time opens a realistic path towards achieving correlated quantum phases akin to quantum Hall states with neutral atoms. |
format | Article |
id | doaj-art-526961cc79bb412fbe170d5b9f275828 |
institution | Kabale University |
issn | 1878-1535 |
language | English |
publishDate | 2024-03-01 |
publisher | Académie des sciences |
record_format | Article |
series | Comptes Rendus. Physique |
spelling | doaj-art-526961cc79bb412fbe170d5b9f2758282025-02-07T13:53:11ZengAcadémie des sciencesComptes Rendus. Physique1878-15352024-03-0124S324126210.5802/crphys.17310.5802/crphys.173Geometric squeezing of rotating quantum gases into the lowest Landau levelCrépel, Valentin0https://orcid.org/0000-0003-0240-3412Yao, Ruixiao1Mukherjee, Biswaroop2Fletcher, Richard3Zwierlein, Martin4Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, USAMIT-Harvard Center for Ultracold Atoms, Research Laboratory of Electronics, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USAMIT-Harvard Center for Ultracold Atoms, Research Laboratory of Electronics, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USAMIT-Harvard Center for Ultracold Atoms, Research Laboratory of Electronics, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USAMIT-Harvard Center for Ultracold Atoms, Research Laboratory of Electronics, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USAThe simulation of quantum Hall physics with rotating quantum gases is witnessing a revival due to recent experimental advances that enabled the observation of a Bose–Einstein condensate entirely contained in its lowest kinetic energy state, i.e. the lowest Landau level. We theoretically describe this experimental result, and show that it can be interpreted as a squeezing of the geometric degree of freedom of the problem, the guiding center metric. This “geometric squeezing” offers an unprecedented experimental control over the quantum geometry in Landau-level analogues, and at the same time opens a realistic path towards achieving correlated quantum phases akin to quantum Hall states with neutral atoms.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.173/ultracold atomsrotating quantum gasquantum simulation |
spellingShingle | Crépel, Valentin Yao, Ruixiao Mukherjee, Biswaroop Fletcher, Richard Zwierlein, Martin Geometric squeezing of rotating quantum gases into the lowest Landau level Comptes Rendus. Physique ultracold atoms rotating quantum gas quantum simulation |
title | Geometric squeezing of rotating quantum gases into the lowest Landau level |
title_full | Geometric squeezing of rotating quantum gases into the lowest Landau level |
title_fullStr | Geometric squeezing of rotating quantum gases into the lowest Landau level |
title_full_unstemmed | Geometric squeezing of rotating quantum gases into the lowest Landau level |
title_short | Geometric squeezing of rotating quantum gases into the lowest Landau level |
title_sort | geometric squeezing of rotating quantum gases into the lowest landau level |
topic | ultracold atoms rotating quantum gas quantum simulation |
url | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.173/ |
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