Interference-based weak-value amplification effects in post-selected weak measurement

Laser Physics ◽  
2021 ◽  
Vol 31 (9) ◽  
pp. 095201
Author(s):  
Yurong Liu ◽  
Zhaoxue Li ◽  
Yucheng Ye ◽  
Junhao Ye ◽  
Zhiyou Zhang
Author(s):  
George C. Knee ◽  
Joshua Combes ◽  
Christopher Ferrie ◽  
Erik M. Gauger

AbstractWeak values arise in quantum theory when the result of a weak measurement is conditioned on a subsequent strong measurement. The majority of the trials are discarded, leaving only very few successful events. Intriguingly those can display a substantial signal amplification. This raises the question of whether weak values carry potential to improve the performance of quantum sensors, and indeed a number of impressive experimental results suggested this may be the case. By contrast, recent theoretical studies have found the opposite: using weak-values to obtain an amplification generally worsens metrological performance. This survey summarises the implications of those studies, which call for a reappraisal of weak values’ utility and for further work to reconcile theory and experiment.


2020 ◽  
Vol 5 (3) ◽  
pp. 191-213
Author(s):  
Niladri Modak ◽  
Ankit K. Singh ◽  
Shyamal Guchhait ◽  
Athira BS ◽  
Mandira Pal ◽  
...  

Background: Weak measurement involves weak coupling between the system and the measuring device (pointer) enables large amplification and high precision measurement of small physical parameters. The outcome of this special measurement procedure involving nearly mutually orthogonal pre- and post-selection of states in such weakly interacting systems leads to weak value that can become exceedingly large and lie outside the eigenvalue spectrum of the measured observable. This unprecedented ability of weak value amplification of small physical parameters has been successfully exploited for various metrological applications in the optical domain and beyond. Even though it is a quantum mechanical concept, it can be understood using the classical electromagnetic theory of light and thus can be realized in classical optics. Objective: Here, we briefly review the basic concepts of weak measurement and weak value amplification, provide illustrative examples of its implementation in various optical domains. The applications involve measuring ultra-sensitive beam deflections, high precision measurements of angular rotation, phase shift, temporal shift, frequency shift and so forth, and expand this extraordinary concept in the domain of nano-optics and plasmonics. Methods: In order to perform weak value amplification, we have used Gaussian beam and spectral response as the pointer subsequently. The polarization state associated with the pointer is used as pre and post-selection device. Results: We reveal the weak value amplification of sub-wavelength optical effects namely the Goos-Hänchen shift and the spin hall shift. Further, we demonstrate weak measurements using spectral line shape of resonance as a natural pointer, enabling weak value amplification beyond the conventional limit, demonstrating natural weak value amplification in plasmonic Fano resonances and so forth. The discussed concepts could have useful implications in various nano-optical systems to amplify tiny signals or effects. Conclusion: The emerging prospects of weak value amplification towards the development of novel optical weak measurement devices for metrological applications are extensively discussed.


2021 ◽  
Vol 126 (22) ◽  
Author(s):  
Courtney Krafczyk ◽  
Andrew N. Jordan ◽  
Michael E. Goggin ◽  
Paul G. Kwiat

2022 ◽  
Author(s):  
John Steinmetz ◽  
Kevin Lyons ◽  
Meiting Song ◽  
Jaime Cardenas ◽  
Andrew Jordan

2013 ◽  
Vol 87 (1) ◽  
Author(s):  
George C. Knee ◽  
G. Andrew D. Briggs ◽  
Simon C. Benjamin ◽  
Erik M. Gauger

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
Jianhua Ren ◽  
Lupei Qin ◽  
Wei Feng ◽  
Xin-Qi Li

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Shyamal Guchhait ◽  
Athira B S ◽  
Niladri Modak ◽  
Jeeban Kumar Nayak ◽  
Anwesha Panda ◽  
...  

2019 ◽  
Vol 99 (3) ◽  
Author(s):  
Mandira Pal ◽  
Sudipta Saha ◽  
Athira B S ◽  
Subhasish Dutta Gupta ◽  
Nirmalya Ghosh

2016 ◽  
Vol 23 (3) ◽  
pp. 393-401 ◽  
Author(s):  
Allen D. Parks ◽  
Scott E. Spence

AbstractWeak value amplification is a measurement technique where small quantum mechanical interactions are amplified and manifested macroscopically in the output of a measurement apparatus. It is shown here that the linear nature of weak value amplification provides a straightforward comparative methodology for using the value of a known small interaction to estimate the value of an unknown small interaction. The methodology is illustrated by applying it to quantify the unknown size of an optical Goos-Hänchen shift of a laser beam induced at a glass/gold interface using the known size of the shift at a glass/air interface.


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