English

Geometric squeezing into the lowest Landau level

Quantum Gases 2021-10-06 v4 Strongly Correlated Electrons Atomic Physics Quantum Physics

Abstract

The equivalence between neutral 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. In their quantum descriptions, translations along different directions do not commute, implying a Heisenberg uncertainty relation between spatial coordinates. Here, we exploit the ability to squeeze non-commuting variables to dynamically create a Bose-Einstein condensate occupying a single Landau gauge wavefunction in the lowest Landau level. We directly resolve the extent of the zero-point cyclotron orbits, and demonstrate geometric squeezing of the orbits' guiding centers by more than 7 {7}~dB below the standard quantum limit. The condensate attains an angular momentum of more than 1000{1000}\,{\hbar} per particle, and an interatomic distance comparable to the size of the cyclotron orbits. This offers a new route towards strongly correlated fluids and bosonic quantum Hall states.

Keywords

Cite

@article{arxiv.1911.12347,
  title  = {Geometric squeezing into the lowest Landau level},
  author = {Richard J. Fletcher and Airlia Shaffer and Cedric C. Wilson and Parth B. Patel and Zhenjie Yan and Valentin Crépel and Biswaroop Mukherjee and Martin W. Zwierlein},
  journal= {arXiv preprint arXiv:1911.12347},
  year   = {2021}
}

Comments

6 pages, 4 figures and Supplementary Materials of 8 pages, 4 figures

R2 v1 2026-06-23T12:29:22.845Z