Geometric squeezing into the lowest Landau level
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1911.12347.pdf
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Accepted version
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1.48 MB
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Author(s) • • • • • • •
Fletcher, Richard J
Shaffer, Airlia
Wilson, Cedric C
Patel, Parth B
Yan, Zhenjie
Crépel, Valentin
Mukherjee, Biswaroop
Zwierlein, Martin W
Date Issued
2021
Journal
Science
Publisher
American Association for the Advancement of Science (AAAS)
Citation
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).
Version
Author's final manuscript
Abstract
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.
MIT Department
MIT-Harvard Center for Ultracold Atoms
Massachusetts Institute of Technology. Research Laboratory of Electronics
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1126/SCIENCE.ABA7202