Four-mode quantum sensing and Fisher information in a spin-orbit-coupled Bose gas
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915430591889408 |
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| author | Zhu, Fei Tang, Zheng Zeng, Liang Wang, Shu Chen, Li |
| author_facet | Zhu, Fei Tang, Zheng Zeng, Liang Wang, Shu Chen, Li |
| contents | Multi-mode squeezing and entanglement are important resources in quantum metrology and sensing. For spin-1/2 Bose-Einstein condensates subject to spin-orbit coupling (SOC), previous studies on spin squeezing have been limited to two-mode systems. In this work, we demonstrate that such a system can naturally construct a four-mode model spanning an $\mathfrak{su}(4)$ algebra with six SU(2) subspaces. Using spin squeezing parameters and quantum Fisher information matrices, we analyze the dynamical evolution of coherent spin states. The results show that, beyond two-mode models, the SOC-induced four-mode couplings give rise to richer entanglement-enhanced sensing approaching the Heisenberg limit across various SU(2) subspaces. Additionally, by tuning a single system parameter (the Raman Rabi frequency), one can selectively control the optimal measurement directions across different subspaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04140 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Four-mode quantum sensing and Fisher information in a spin-orbit-coupled Bose gas Zhu, Fei Tang, Zheng Zeng, Liang Wang, Shu Chen, Li Quantum Gases Quantum Physics Multi-mode squeezing and entanglement are important resources in quantum metrology and sensing. For spin-1/2 Bose-Einstein condensates subject to spin-orbit coupling (SOC), previous studies on spin squeezing have been limited to two-mode systems. In this work, we demonstrate that such a system can naturally construct a four-mode model spanning an $\mathfrak{su}(4)$ algebra with six SU(2) subspaces. Using spin squeezing parameters and quantum Fisher information matrices, we analyze the dynamical evolution of coherent spin states. The results show that, beyond two-mode models, the SOC-induced four-mode couplings give rise to richer entanglement-enhanced sensing approaching the Heisenberg limit across various SU(2) subspaces. Additionally, by tuning a single system parameter (the Raman Rabi frequency), one can selectively control the optimal measurement directions across different subspaces. |
| title | Four-mode quantum sensing and Fisher information in a spin-orbit-coupled Bose gas |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2508.04140 |