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    Dynamical generation of geometric squeezing in interacting Bose-Einstein condensates

    Li Chen1,*, Fei Zhu1, Zheng Tang1, Liang Zeng1, Jae Joon Lee2, and Han Pu2

    • 1Institute of Theoretical Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan 030006, China
    • 2Department of Physics and Astronomy, and Smalley-Curl Institute, Rice University, Houston, Texas 77005, USA

    • *Contact author: lchen@sxu.edu.cn

    Phys. Rev. A 112, 043319 – Published 21 October, 2025

    DOI: https://doi.org/10.1103/sf74-lk9d

    Abstract

    When the rotating frequency of a noninteracting Bose-Einstein condensate (BEC) confined in a weak anisotropic harmonic potential is suddenly quenched to its trapping frequency, the condensate evolves from its ground state to a single-mode squeezed state with exponentially growing quantum fluctuation anisotropy. Such a squeezed state is called the geometrically squeezed state. However, for interacting BECs with two-body collisions, a similar quench only results in quantum fluctuations oscillating periodically without squeezing. In this work, we identify superfluid stability as the key factor behind this nonsqueezing phenomenon, with the periodic oscillations arising from collective excitations of a stable collective excitation mode. By strategically breaking the stability criteria, we propose a dynamical approach for generating squeezing that can exponentially suppress quantum fluctuations in a relatively short time, surpassing the efficiency of existing experimental preparation schemes.

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