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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Main Authors: Crépel, Valentin, Yao, Ruixiao, Mukherjee, Biswaroop, Fletcher, Richard, Zwierlein, Martin
Format: Article
Language:English
Published: Académie des sciences 2024-03-01
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.
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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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