Weak measurement with the peak-contrast-ratio pointer

Zhu, Junfan; Li, Zhaoxue; Liu, Yurong; Ye, Yucheng; Ti, Qian; Zhang, Zhiyou; Gao, Fuhua

doi:10.1103/physreva.103.032212

Cited by 18 publications

(15 citation statements)

References 41 publications

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“…Since the input and output states in analog optical processing are needed to be nearly orthogonal, it is a low probability of collecting a photon after the bias retardation. [47,48] Therefore, the experimental resolution in the cases with the Rytov-Vlasimirskii-Berry phase may be limited by low reflection intensity. Environmental noise may inevitably influence the sensitivity of measured signal.…”

Section: Discussionmentioning

confidence: 99%

Computing Liquid‐Crystal Photonics Platform Enabled Wavefront Sensing

Liu

Fan

Chen

et al. 2023

Laser & Photonics Reviews

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Detecting the wavefront of photons in an efficient and accurate way is crucial to retrieve the information of an optical field. Liquid crystal (LC) possesses strong ability to manipulate the phase and polarization of photons with high diffraction efficiency and therefore offers a promising avenue toward this aim. In this paper, LC performing analog optical processing is explored and a computing LC platform is proposed to implement the wavefront sensing via tuned bias retardation. It is demonstrated that precisely introducing a tiny Pancharatnam–Berry phase by LC can achieve flexible separation of two spin components with high resolution. Modulating the retardation by rotation of an analyzer, the computing LC platform is used to reconstruct wavefronts with phase‐contrast patterns. In particular, combining this scheme with microscopy can precisely retrieve a micro‐scale phase distribution. The result suggests that the computing LC platform can perform as a wavefront sensor with high efficiency and may open up new opportunities in the applications of precision metrology, real‐time analog optical processing, and high‐contrast microscopy.

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Section: Discussionmentioning

confidence: 99%

Computing Liquid‐Crystal Photonics Platform Enabled Wavefront Sensing

Liu

Fan

Chen

et al. 2023

Laser & Photonics Reviews

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“…For the post-selection in our scheme, we chose the combination of a quarter-wave plate and a polarizer, which has been successfully applied as the post-selection in Ref. [13,14]. The postselection |Φ f of the system takes the following form:…”

Section: Framework Of Smw For Detecting Rotation Velocity In Sagnac's...mentioning

confidence: 99%

Enhancing the sensitivity of amplification of rotation velocity in Sagnac's interferometer with biased weak measurement

Huang¹,

Hu²,

Duan³

et al. 2021

Preprint

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Recently, biased weak measurement(BWM) has shown higher precision than both conventional measurement and standard weak measurement(SWM) in optical metrology. In this paper, we propose a scheme of detecting rotation velocity in Sagnac's interferometer with BWM. In particular, BWM employs an additional reduction of photons in the post-selection by introducing a pre-coupling, and the remaining photons have been shown to be extremely sensitive to the estimated parameter. In addition, our numerical results show that the scheme with BWM can obtain a higher sensitivity than the scheme with SWM. Recently, biased weak measurement(BWM) has shown higher precision than both conventional measurement and standard weak measurement(SWM) in optical metrology [10,9]. BWM employs an additional reduction of photons in the post-selection by introducing a precoupling, and the remaining photons have been shown to be extremely sensitive to the estimated parameter. In this work, we propose a scheme to enhance the sensitivity of amplification of rotation velocity in Sagnac's interferometer with BWM.

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“…A birefringent element introduces a time delay , which corresponds to the coupling strength. Following these works [18,20,22] to realize the post-selection, a quarter-wave plate (QWP) and the second polarizer (P2) post-select the system at the state,…”

Section: Scheme Of Weak Measurements Involving a Purely Imaginary Wea...mentioning

confidence: 99%

“…It has been suggested that a standard interferometer greatly outperforms weak measurement in a scenario involving a purely real weak value, but the measurement of a phase using a purely imaginary weak value can outperform a standard interferometer [12]. Hence, anomalous works [17][18][19][20] of amplifying the detector signals based on weak measurement with a purely imaginary weak value. So far, the weak measurements involving a plural weak value have been seldom reported.…”

Section: Introductionmentioning

confidence: 99%

The systematic error and the anomaly in the sensitivity and the probability of post-selection raised from the plural weak value

Huang¹,

Duan²,

Wang³

et al. 2021

Preprint

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Recently, weak value A w derived in the pre-and post-selected weak measurement has been shown to be powerful in measuring minute physical effects. In principle, the decrease in the post-selection probability will increase the sensitivity. Besides, the sensitivity which characterizes the pointer position shift is proportional to the real part of A w , and the sensitivity which characterizes the pointer shift in momentum space is proportional to the imaginary part of A w . However, we find that the relationship between the post-selection probability and the sensitivity is true when A w is a purely real number or a purely imaginary number. The plural A w will lead to the abnormal behavior where the decrease in the post-selection probability reduce the sensitivity at certain pre-and post-selection. In addition, considering the device imperfections and the environmental instability in the WVA protocol, this anomaly raised from plural A w will reduce the sensitivity and generate a systematic error of the measurement compared with the original scheme. Finally, three feasible methods are proposed to reduce these negative effects when the weak measurement inevitably changes into measurement with a plural weak value.

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Weak measurement with the peak-contrast-ratio pointer

Cited by 18 publications

References 41 publications

Computing Liquid‐Crystal Photonics Platform Enabled Wavefront Sensing

Computing Liquid‐Crystal Photonics Platform Enabled Wavefront Sensing

Enhancing the sensitivity of amplification of rotation velocity in Sagnac's interferometer with biased weak measurement

The systematic error and the anomaly in the sensitivity and the probability of post-selection raised from the plural weak value

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