Dual-Recycled Weak Measurement for Ultrasensitive Velocity Estimation

Sen-Zhi Fang, Ling-Li Zhu, Rui‐Bo Jin +3 more

Xiao‐Ye Xu

Zi-Rui Zhong, Yue Chen, Weijun Tan +3 more

Weak-value-amplification has been proven to be advantageous in the detection of small physical effects. However, most of the data are discarded due to the rare post-selection, resulting in a limitation of precision. Here we introduce a dual-recycling cavity based on the interferometric weak-value-based velocity measurement. By properly inserting two partially transmitting mirrors, both the power and signal-to-noise ratio (SNR) are improved, and the peak of the improvement corresponds to two identical matched mirrors. The dual recycling approach also provides a wider optimal range compared to that of the power-recycling scheme. In addition, the practical consideration is discussed to stabilize the lengths of dual-recycling cavity.

Sen-Zhi Fang, Yang Dai, Qian-Wen Jiang +3 more

Weak value amplification has shown its superiority in measurement of small physical effects. Here we introduce a signal-recycled weak-value-based velocity measurement strategy to decrease the attenuation of detected photons during the post-selection. Like the power-recycled scheme, we can improve the number of detected photons and signal-to-noise ratio of velocity by forming a cavity. However, optimal improvements of number of detected photons and signal-to-noise ratio cannot be obtained simultaneously in our signal-recycled scheme owing to the walk-off effect. Furthermore, we find that the reflected light is relatively strong compared with the power-recycled scheme, which may increase the collection-detection efficiency in prospective relevant experiment.

Andrew N. Jordan, Gerardo I. Viza, Juli 'an Mart 'Inez-Rinc 'on +3 more

Alex Hayat, Amir Feizpour, Aephraim M. Steinberg