Ultrasensitive Measurement of Angular Rotations via Hermite-Gaussian Pointer

• URL: http://arxiv.org/abs/2212.06314v1
• Date: Tue, 13 Dec 2022 01:41:05 GMT
• Title: Ultrasensitive Measurement of Angular Rotations via Hermite-Gaussian Pointer
• Authors: Binke Xia, Jingzheng Huang, Hongjing Li, Miaomiao Liu, Tailong Xiao, Chen Fang and Guihua Zeng
• Abstract summary: In this work, we employ the mn-order Hermite-Gaussian beam in the weak measurement scheme with an angular rotation interaction. By taking a projective measurement on the final light beam, the precision of angular rotation is improved by a factor of 2mn+m+n.
• Score: 21.94036763745746
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Exploring high sensitivity on the measurement of angular rotations is an outstanding challenge in optics and metrology. In this work, we employ the mn-order Hermite-Gaussian beam in the weak measurement scheme with an angular rotation interaction, where the rotation information is taken by another HG mode state completely after the post-selection. By taking a projective measurement on the final light beam, the precision of angular rotation is improved by a factor of 2mn+m+n. For verification, we perform an optical experiment where the minimum detectable angular rotation improves $\sqrt{15}$-fold with HG55 mode over that of HG11 mode, and achieves a sub-microradian scale of the measurement precision. Our theoretical framework and experimental results not only provide a more practical and convenient scheme for ultrasensitive measurement of angular rotations, but also contribute to a wide range of applications in quantum metrology.

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