Geometric squeezing of rotating quantum gases into the lowest Landau level

• URL: http://arxiv.org/abs/2309.02510v1
• Date: Tue, 5 Sep 2023 18:01:01 GMT
• Title: Geometric squeezing of rotating quantum gases into the lowest Landau level
• Authors: Valentin Cr\'epel, Ruixiao Yao, Biswaroop Mukherjee, Richard J. Fletcher, Martin Zwierlein
• Abstract summary: Experimental advances have enabled the observation of a Bose-Einstein condensate entirely contained in its lowest kinetic energy state. We show that it can be interpreted as a squeezing of the geometric degree of freedom of the problem. This "geometric squeezing" offers an unprecedented experimental control over the quantum geometry in Landau-level analogues.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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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