Floquet geometric squeezing in fast-rotating condensates

TL;DR

This paper introduces a Floquet-based method to generate and control geometric squeezing in fast-rotating Bose-Einstein condensates, overcoming previous limitations and enabling advanced quantum state engineering.

Contribution

It proposes a novel Floquet protocol for single and two-mode squeezing in BECs, allowing wavepacket widths below the Landau level limit.

Findings

Successful Floquet protocol for cyclotron-mode squeezing

Achievement of two-mode squeezing with enhanced dynamics

Wavepacket widths below the Landau level limit

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.