Precision angle sensor using an optical lever inside a Sagnac interferometer

Hogan, Jason; Hammer, J. H.; Chiow, Sheng‐wey; Dickerson, Susannah; Johnson, David M.; Kovachy, Timothy; Sugarbaker, Alex; Kasevich, Mark A.

doi:10.1364/ol.36.001698

Cited by 70 publications

(62 citation statements)

References 7 publications

(16 reference statements)

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“…We also demonstrated that for angular jitter, the weak-value technique for beam-deflection measurements can have much higher Fisher information than the standard technique and approach the quantum CRB in noisy environments. Considering the wide range of experiments that have now successfully employed weakvalue techniques to make high-precision measurements [1][2][3][4][5][6][7][9][10][11][12][13], this conclusion should not be too surprising.…”

Section: Discussionmentioning

confidence: 99%

“…[1]), there are technical advantages in that these methods make the experimental approach to these limits relatively easy with common experimental equipment. Indeed, these techniques have already been successfully applied in the lab to measure with high precision the optical spin Hall effect and other polarization-dependent beam deflections [2][3][4], interferometric deflections of optical beams [5][6][7], phase shifts [8][9][10], frequency shifts [11], temperature shifts [12], and velocity measurements [13]. In most of these experiments, the weak-value-amplification (WVA) technique met and even surpassed the sensitivity of standard techniques in the field.…”

Section: Introductionmentioning

confidence: 99%

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Technical Advantages for Weak-Value Amplification: When Less Is More

2014

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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 fraction of the photons) compare favorably with standard techniques (which use all of them). Using the Fisher-information metric, we demonstrate that weak-value techniques can put all of the Fisher information about the detected parameter into a small portion of the events and show how this fact alone gives technical advantages. We go on to consider a time-correlated noise model and find that a Fisher-information analysis indicates that the standard method can have much larger information about the detected parameter than the postselected technique. However, the estimator needed to gather the information is technically difficult to implement, showing that the inefficient (but practical) signal-to-noise estimation of the parameter is usually superior. We also describe other technical advantages unique to imaginary weak-value-amplification techniques, focusing on beam-deflection measurements. In this case, we discuss combined noise types (such as detector transverse jitter, angular beam jitter before the interferometer, and turbulence) for which the interferometric weak-value technique gives higher Fisher information over conventional methods. We go on to calculate the Fisher information of the recently proposed photon-recycling scheme for beam-deflection measurements and show it further boosts the Fisher information by the inverse postselection probability relative to the standard measurement case.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Technical Advantages for Weak-Value Amplification: When Less Is More

2014

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“…Thus, we plot the SN R p X , which is defined in Eq. (8), as function of arbitrary measurement strength parameter s and preselection angle θ. From Fig.…”

Section: Schröinger Cat Statementioning

confidence: 99%

Advantages of nonclassical pointer states in postselected weak measurements

et al. 2015

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We investigate, within the weak measurement theory, the advantages of non-classical pointer states over semi-classical ones for coherent, squeezed vacuum, and Schröinger cat states. These states are utilized as pointer state for the system operatorÂ with propertyÂ 2 =Î, whereÎ represents the identity operator. We calculate the ratio between the signal-to-noise ratio (SNR) of non-postselected and postselected weak measurements. The latter is used to find the quantum Fisher information for the above pointer states. The average shifts for those pointer states with arbitrary interaction strength are investigated in detail. One key result is that we find the postselected weak measurement scheme for non-classical pointer states to be superior to semi-classical ones. This can improve the precision of measurement process.

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“…In recent years, postselected weak measurements have been used to great effect in metrological applications [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. For a more complete overview of both the relevant theory and experiments, see the review article by Dressel et al [21].…”

Section: Introductionmentioning

confidence: 99%

Noise suppression in inverse weak value-based phase detection

Lyons

Howell

Jordan

2017

Quantum Stud.: Math. Found.

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We examine the effect of different sources of technical noise on inverse weak value-based precision phase measurements. We find that this type of measurement is similarly robust to technical noise as related experiments in the weak value regime. In particular, the measurements considered here are robust to additive Gaussian white noise and angular jitter noise commonly encountered in optical experiments. Additionally, we show the same techniques used for precision phase measurement can be used with the same technical advantages for optical frequency measurements.

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Precision angle sensor using an optical lever inside a Sagnac interferometer

Cited by 70 publications

References 7 publications

Technical Advantages for Weak-Value Amplification: When Less Is More

Technical Advantages for Weak-Value Amplification: When Less Is More

Advantages of nonclassical pointer states in postselected weak measurements

Noise suppression in inverse weak value-based phase detection

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