Ultra-small time-delay estimation via a weak measurement technique with post-selection

Chen, Fang; Huang, Jianheng; Yu, Yongmei; Li, Qinzheng; Zeng, Guihua

doi:10.1088/0953-4075/49/17/175501

Cited by 43 publications

(34 citation statements)

References 28 publications

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“…Meanwhile, the pointer spectrum corresponding to different final system states are given by | ψ f k |ψ in | 2 ζ k (g, p)P 0 (p) with k = 1, 2, and we get [19]:…”

Section: Theorymentioning

confidence: 99%

“…To demonstrate the DWVA approach, we study its application in ultra-small longitudinal phase change measurement. It has been shown that WVA technique is competent to this task [18,19,21,22,25], with sensitivity beyond attosecond (as) has been experimentally demonstrated [19]. In theory, BWVA can achieve sensitivity of 10 −5 as, however this prediction has not yet been demonstrated, partly due to its extremely low output signal intensity.…”

Section: Application In Longitudinal Phase Change Measurementmentioning

confidence: 99%

“…More examples could be found in the applications on measuring other parameters with high sensitivities, e.g. velocity@400fm/s [13], non-linearity@singlephoton level [14], temperature@3 × 10 −6o C [15,16], optical rotation@1.88 × 10 −5o [17], time-domain longitudinal phase change@sub-attosecond level [18,19], etc. These applications employ the standard WVA approach, in which only a tiny portion of the signal surviving post-selection are collected and measured [20].…”

Section: Introductionmentioning

confidence: 99%

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Toward ultrahigh sensitivity in weak-value amplification

Huang

Chen

et al. 2019

Phys. Rev. A

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Achieving higher sensitivity is an earnest purpose for precision metrology. As a response to this goal, the weak value amplification approach has been developed for measuring ultra-small physical effects, realizing sensitivity that had never been reached before. Encouraged by the successes, many efforts have been devoted to obtain ultimate sensitivity of weak value amplification. However, the benefit would be easily compromised in practice, because the cost of significant reduction on signal intensity leads to an ultra-low signal-to-noise ratio. In this work, we bridge this gap by proposing an alternative weak value amplification approach, which provides sensitivity several orders of magnitude higher than the standard approach while being compatible with practical imperfections. In the proof-of-principle experiment of measuring longitudinal phase change in time-domain, sensitivity up to 5 × 10 −4 attosecond is exemplified. Our approach can be applied to measure other small parameters with extremely high sensitivity, providing a new method for future precision metrology.

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“…Meanwhile, the pointer spectrum corresponding to different final system states are given by | ψ f k |ψ in | 2 ζ k (g, p)P 0 (p) with k = 1, 2, and we get [19]:…”

Section: Theorymentioning

confidence: 99%

Section: Application In Longitudinal Phase Change Measurementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Toward ultrahigh sensitivity in weak-value amplification

Huang

Chen

et al. 2019

Phys. Rev. A

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“…While the meaning of weak values has been debated since their inception [2][3][4][5], several experimental implementations of the weak measurement protocol have been carried out: weak values have thus been measured for different observables in many quantum systems [6][7][8][9][10][11][12][13]. Concurrently, theoretical schemes based on weak measurements have been proposed with practical [14][15][16] or foundational [17][18][19][20][21] aims.…”

Section: Introductionmentioning

confidence: 99%

The Quantum Cheshire Cat effect: Theoretical basis and observational implications

et al. 2018

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The Quantum Cheshire Cat (QCC) is an effect introduced recently within the Weak Measurements framework. The main feature of the QCC effect is that a property of a quantum particle appears to be spatially separated from its position. The status of this effect has however remained unclear, as claims of experimental observation of the QCC have been disputed by strong criticism of the experimental as well as the theoretical aspects of the effect. In this paper we clarify in what precise sense the QCC can be regarded as an unambiguous consequence of the standard quantum mechanical formalism applied to describe quantum pointers weakly coupled to a system. In light of this clarification, the raised criticisms of the QCC effect are rebutted. We further point out that the limitations of the experiments performed to date imply that a loophole-free experimental demonstration of the QCC has not yet been achieved.

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“…It is composed by the information obtained from the measurement on the pointer state after the post-selection and the successful post-selection probability P d . The normalized probability distribution of x after the measurement on the pointer state is [20] P…”

Section: Adaptive Weak Value Amplificationmentioning

confidence: 99%

Adaptive weak-value amplification with adjustable postselection

Huang

Zeng

2017

Phys. Rev. A

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Weak value amplification (WVA) recently becomes an important technique for parameter estimation, thanks to its ability of enhancing signal-to-noise ratio by amplifying extremely small signals with proper post-selection strategies. In this work, we propose an adaptive WVA scheme to achieve the highest Fisher information in the case of using an unbalanced pointer. Different from the previous schemes, the adaptive WVA scheme is associated with a real-time update on the post-selection states with the help of the feedback information from outcomes, and the "extremely small" condition set on the parameter of interest is relaxed. By applying this scheme to a time-delay measurement scenario, we show by numerical simulation that the precision achieved in our scheme is several times higher than the standard WVA scheme. Our result opens a new path for improving the WVA technique in a more flexible and robust way.PACS numbers:

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Ultra-small time-delay estimation via a weak measurement technique with post-selection

Cited by 43 publications

References 28 publications

Toward ultrahigh sensitivity in weak-value amplification

Toward ultrahigh sensitivity in weak-value amplification

The Quantum Cheshire Cat effect: Theoretical basis and observational implications

Adaptive weak-value amplification with adjustable postselection

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