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arXiv · 2501.02764

Floquet geometric squeezing in fast-rotating condensates

Li Chen·Fei Zhu·Yunbo Zhang·Han Pu
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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.

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Li Chen, Fei Zhu, Yunbo Zhang, Han Pu. 2025-01-06. Floquet geometric squeezing in fast-rotating condensates. https://arxiv.org/abs/2501.02764

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