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arXiv · 2309.02510

Geometric squeezing of rotating quantum gases into the lowest Landau level

Valentin Crépel·Ruixiao Yao·Biswaroop Mukherjee·Richard J. Fletcher·Martin Zwierlein
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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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Valentin Crépel, Ruixiao Yao, Biswaroop Mukherjee, Richard J. Fletcher, Martin Zwierlein. 2023-09-05. Geometric squeezing of rotating quantum gases into the lowest Landau level. https://doi.org/10.5802/crphys.173

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