Floquet geometric squeezing in fast-rotating condensates
Abstract
Constructing and manipulating quantum states in fast-rotating Bose-Einstein condensates (BEC) has long stood as a significant challenge as the rotating speed approaching the critical velocity. Although the recent experiment [Science, 372, 1318 (2021)] has realized the geometrically squeezed state of the guiding-center mode, the remaining degree of freedom, the cyclotron mode, remains unsqueezed due to the large energy gap of Landau levels. To overcome this limitation, in this paper, we propose a Floquet-based state-preparation protocol by periodically driving an anisotropic potential. This protocol not only facilitates the single cyclotron-mode squeezing, but also enables a two-mode squeezing. Such two-mode squeezing offers a richer set of dynamics compared to single-mode squeezing and can achieve wavepacket width well below the lowest Landau level limit. Our work provides a highly controllable knob for realizing diverse geometrically squeezed states in ultracold quantum gases within the quantum Hall regime.
Cite
@article{arxiv.2501.02764,
title = {Floquet geometric squeezing in fast-rotating condensates},
author = {Li Chen and Fei Zhu and Yunbo Zhang and Han Pu},
journal= {arXiv preprint arXiv:2501.02764},
year = {2025}
}
Comments
6 + 6 pages, 4 figures, 7 animations. To appear as a Letter in PRA