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PreprintarXiv licencearXiv

Spin squeezing by geometric focusing in vacuum Rabi oscillations

  • Aoqin Liang
  • Qi Liu
  • Guoqing Wang
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Abstract

We show that vacuum Rabi oscillations can directly generate spin squeezing through geometric focusing on the Bloch sphere. Starting from a coherent spin state resonantly coupled to a cavity initially in the vacuum state, quantum fluctuations are focused by the curvature of the Bloch sphere as the collective spin approaches the atomic ground state, producing squeezing transverse to the direction of motion. The squeezing timescale is set by the collective Rabi frequency ts∼ 1/(g√N). The optimal Wineland squeezing parameter scales as ξopt2∝ N−1/3, which is an outcome of the competition between the geometric focusing effects and the cavity-field vacuum fluctuations. The squeezing remains robust against realistic dissipation. In the end, an application example of 171Yb is briefly discussed to show the feasibility of our protocol.

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Cite

BibTeXRIS
BibTeX
@misc{liang2026spin,
  title = {{Spin squeezing by geometric focusing in vacuum Rabi oscillations}},
  author = {Aoqin Liang and Qi Liu and Guoqing Wang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02738},
  eprint = {2609.02738},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02738},
}
RIS
TY  - UNPB
TI  - Spin squeezing by geometric focusing in vacuum Rabi oscillations
AU  - Aoqin Liang
AU  - Qi Liu
AU  - Guoqing Wang
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02738
UR  - https://arxiv.org/abs/2609.02738
AB  - We show that vacuum Rabi oscillations can directly generate spin squeezing through geometric focusing on the Bloch sphere. Starting from a coherent spin state resonantly coupled to a cavity initially in the vacuum state, quantum fluctuations are focused by the curvature of the Bloch sphere as the collective spin approaches the atomic ground state, producing squeezing transverse to the direction of motion. The squeezing timescale is set by the collective Rabi frequency t_s∼ 1/(g√N). The optimal Wineland squeezing parameter scales as ξ_opt^2∝ N^−1/3, which is an outcome of the competition between the geometric focusing effects and the cavity-field vacuum fluctuations. The squeezing remains robust against realistic dissipation. In the end, an application example of ^171Yb is briefly discussed to show the feasibility of our protocol.
ER  -