Four-mode quantum sensing and Fisher information in a spin-orbit-coupled Bose gas

• URL: http://arxiv.org/abs/2508.04140v1
• Date: Wed, 06 Aug 2025 07:09:12 GMT
• Title: Four-mode quantum sensing and Fisher information in a spin-orbit-coupled Bose gas
• Authors: Fei Zhu, Zheng Tang, Liang Zeng, Shu Wang, Li Chen,
• Abstract summary: We show that a system can naturally construct a four-mode model spanning an $mathfraksu(4)$ algebra with six SU(2) subspaces.<n>The results show that, beyond two-mode models, the SOC-induced four-mode couplings give rise to richer entanglement-enhanced sensing.
• Score: 29.30997440265779
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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