Precision phase estimation based on weak-value amplification

Qiu, Xiaodong; Xie, Linguo; Liu, Xiong; Luo, Lan; Li, Zhaoxue; Zhang, Zhiyou; Du, Jia

doi:10.1063/1.4976312

Cited by 82 publications

(46 citation statements)

References 23 publications

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“…The operational formulation of weak values as the sensitivity of the system to a small transformation has been mentioned partially in previous studies [9,[27][28][29][30][31][32][33]. Our formulation described so far is a generalization of them.…”

Section: E Related Previous Studies and Novelty Of Our Formulationmentioning

confidence: 99%

Operational formulation of weak values without probe systems

2020

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Weak values are the fundamental values for observables in a pre-and post-selected system. Weak values are typically measured by weak measurement, in which weak values appear in the change of not the pre-and post-selected system but the probe system. This indirect characteristic of weak measurement obscures the meaning of weak values for the pre-and post-selected system, in contrast to conventional physical quantities, which have a clear operational meaning. In this study, we operationally formulate weak values as the sensitivity of post-selection probability amplitude to small transformation in a pre-and post-selected system. This formulation of weak values, which is free from the concept of probe shift assumed in weak measurement, gives a direct interpretation of strange weak values for the pre-and post-selected system. We further explain that this formulation can simplify weak-value measurement experiments because no probe system is required.

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Section: E Related Previous Studies and Novelty Of Our Formulationmentioning

confidence: 99%

Operational formulation of weak values without probe systems

2020

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“…The second one is the intensity contrast ratio, i.e. I(θ)/I(0), which represents the ratio of the intensity variation (detected signal) induced by the phase delay [21]. Fig.2 shows the output intensity of different offsets without phase delay input in the SI.…”

Section: Scheme Descriptionmentioning

confidence: 99%

Robust interferometry against imperfections based on weak value amplification

2018

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The optical interferometry has been widely used in various high precision applications. Usually, the minimum precision of an interferometry is limited by various technique noises in practice. To suppress such kind of noises, we propose a novel scheme, which combines the weak measurement with the standard interferometry. The proposed scheme dramatically outperforms the standard interferometry in the signal noise ratio and the robustness against noises caused by the optical elements' reflections and the offset fluctuation between two paths. A proof-of-principle experiment is demonstrated to validate the amplification theory.

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“…In recent years, weak measurement has shown great superiority in numerous high precision measurements, such as phase measurement [2,3], velocity measurement [4], temperature sensing [5], reflection angle of optic beam [6], photonic spin Hall effect [7], Goos-Hänchen and Imbert-Fedorov shifts [8,9], optical rotation [10] and detection of a trapped electron [11]. Besides, weak measurement also presents great potential in biomolecule detection by inducing a weak interaction between the system and meter with analytes or biochemical reactions.…”

Section: Lettermentioning

confidence: 99%

A differential weak measurement system based on Sagnac interferometer for self-referencing biomolecule detection

Guan

et al. 2017

J. Phys. D: Appl. Phys.

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A differential weak measurement system was presented, exhibiting the self-referencing function for biomolecule real time detection as a label-free optical biosensor. We built a Sagnac interferometer, which limited horizontal (H) and vertical (V) polarization to propagating along the common path but in opposite directions to realize weak measurements with two measuring channels installed in two corners of this Sagnac interferometer. By introducing two half wave plates into the system alternately with the two channels to convert between H and V polarization, we obtained a differential measurement for phase delay, which could quantitatively characterize the refractive index change corresponding to the concentration of samples in the channels. With this system, a real time monitor of molecule concentration in the dialysis process was accomplished, demonstrating the function of self-referencing, which is important for optical label-free molecule detection in a complex biological sample solution.

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Precision phase estimation based on weak-value amplification

Cited by 82 publications

References 23 publications

Operational formulation of weak values without probe systems

Operational formulation of weak values without probe systems

Robust interferometry against imperfections based on weak value amplification

A differential weak measurement system based on Sagnac interferometer for self-referencing biomolecule detection

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