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The technical merits of weak value amplification techniques are analyzed. We consider models of several different types of technical noise in an optical context and show that weak value amplification techniques (which only use a small…

Optics · Physics 2016-03-01 Andrew N. Jordan , Julián Martínez-Rincón , John C. Howell

We report on the use of an interferometric weak value technique to amplify very small transverse deflections of an optical beam. By entangling the beam's transverse degrees of freedom with the which-path states of a Sagnac interferometer,…

Quantum Physics · Physics 2009-06-29 P. Ben Dixon , David J. Starling , Andrew N. Jordan , John C. Howell

We propose the difference weak measurement scheme, and illustrate its advantages for measuring small longitude phase-shift in high precision. Compared to the standard interferometry and standard weak measurement schemes, the proposed scheme…

Quantum Physics · Physics 2018-07-04 Jing-Zheng Huang , Chen Fang , Guihua Zeng

We study the amplification of weak magnetic field with Weak-value technique based on Faraday magneto-optic effect. By using a different scheme to perform the Sagnac interferometer with the probe in momentum space, we have demonstrated the…

Quantum Physics · Physics 2021-05-31 Jing-Hui Huang , Xue-Ying Duan , Guang-Jun Wang , Xiang-Yun Hu

A weak value is an effective description of the influence of a pre and post-selected 'principal' system on another 'meter' system to which it is weakly coupled. Weak values can describe anomalously large deflections of the meter, and…

Quantum Physics · Physics 2018-08-13 George C. Knee , G. Andrew D. Briggs

The amplification obtained using weak values is quantified through a detailed investigation of the signal to noise ratio for an optical beam deflection measurement. We show that for a given deflection, input power and beam radius, the use…

Quantum Physics · Physics 2009-10-14 David J. Starling , P. Ben Dixon , Andrew N. Jordan , John C. Howell

We propose to use weak measurements away from the weak-value amplification regime to carry out precision measurements of time delays of light. Our scheme is robust to several sources of noise that are shown to only limit the relative…

Quantum Physics · Physics 2013-02-27 Grégory Strübi , C. Bruder

Recently, weak measurements were used to measure small effects that are transverse to the propagation direction of a light beam. Here we address the question whether weak measurements are also useful for measuring small longitudinal phase…

Quantum Physics · Physics 2010-07-12 Nicolas Brunner , Christoph Simon

We improve the precision of the interferometric weak-value-based beam deflection measurement by introducing a power recycling mirror, creating a resonant cavity. This results in \emph{all} the light exiting to the detector with a large…

Quantum Physics · Physics 2015-05-01 Kevin Lyons , Justin Dressel , Andrew N. Jordan , John C. Howell , Paul G. Kwiat

In optical metrological protocols to measure physical quantities, it is, in principle, always beneficial to increase photon number to improve measurement precision. However, practical constraints prevent arbitrary increase of n due to the…

Weak measurement is a novel technique for parameter estimation with higher precision. In this paper we develop a general theory for the parameter estimation based on weak measurement technique with arbitrary postselection. The previous weak…

Quantum Physics · Physics 2016-08-24 Chen Fang , Jing-Zheng Huang , Yang Yu , Qin-Zheng Li , Guihua Zeng

Weak-value-amplification permits small effects to be measured as observable changes at the sacrifice of power due to post-selection. The power recycling scheme has been proven to eliminate this inefficiency of the rare post-selection, thus…

Optics · Physics 2023-09-20 Zi-Rui Zhong , Wei-Jun Tan , Yue Chen , Qing-Lin Wu

We investigate interferometric techniques to estimate the deflection angle of an optical beam and compare them to the direct detection of the beam deflection. We show that quantum metrology methods lead to a unifying treatment for both…

Quantum Physics · Physics 2020-08-12 S. P. Walborn , G. H. Aguilar , P. L. Saldanha , L. Davidovich , R. L. de Matos Filho

We study the amplification of rotation velocity with the Sagnac interferometer based on the concept of weak-value amplification. By using a different scheme to perform the Sagnac interferometer with the probe in momentum space, we have…

Quantum Physics · Physics 2021-06-22 Jing-Hui Huang , Xue-Ying Duan , Xiang-Yun Hu

We demonstrate an experiment which utilizes a Sagnac interferometer to measure a change in optical frequency of 129 kHz per root Hz with only 2 mW of continuous wave, single mode input power. We describe the measurement of a weak value and…

Quantum Physics · Physics 2011-01-10 David J. Starling , P. Ben Dixon , Andrew N. Jordan , John C. Howell

The task of wavefront sensing is to measure the phase of the optical field. Here, we demonstrate that the widely used Shack-Hartmann wavefront sensor detects the weak value of transverse momentum, usually achieved by the method of quantum…

Optics · Physics 2022-05-03 Yi Zheng , Mu Yang , Zheng-Hao Liu , Jin-Shi Xu , Chuan-Feng Li , Guang-Can Guo

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…

Quantum Physics · Physics 2021-10-22 Jing-Hui Huang , Xiang-Yun Hu , Xue-Ying Duan , Guang-Jun Wan

We describe a weak value inspired phase amplification technique in a Sagnac interferometer. We monitor the relative phase between two paths of a slightly misaligned interferometer by measuring the average position of a split-Gaussian mode…

Quantum Physics · Physics 2015-05-14 David J. Starling , P. Ben Dixon , Nathan S. Williams , Andrew N. Jordan , John C. Howell

We experimentally realize a great precision enhancement in the small tilt measurement by using a Sagnac interferometer and balanced homodyne detection (BHD) of high-order optical modes, together with the weak value amplification (WVA)…

Quantum Physics · Physics 2022-10-27 ChaoXia Zhang , YongLang Lai , RongGuo Yang , Kui Liu , Jing Zhang , HengXin Sun , JiangRui Gao

Weak measurement has been proven to amplify the detection of changes in meters while discarding most photons due to the low probability of post-selection. Previous power-recycling schemes enable the failed post-selection photons to be…

Quantum Physics · Physics 2024-03-18 Zi-Rui Zhong , Yue Chen , Wei-Jun Tan , Xiang-Ming Hu , Qing-Lin Wu
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