Ultra-small phase estimation via weak measurement technique with postselection

Abstract

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 value amplification model and the joint weak measurement model are two special cases in our theory. Applying the developed theory, the time-delay estimation is investigated in both theory and experiment. Experimental results shows that when the time-delay is ultra small, the joint weak measurement scheme outperforms the weak value amplification scheme, and is robust against not only the misalignment errors but also the wavelength-dependence of the optical components. These results are consistent with the theoretical predictions that has not been verified by any experiment before.

8 pages with 8 figures

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• Difference Weak Measurement
• Progress and Perspectives on Weak-value Amplification
• A Robust Interferometry Against Imperfections Base on Weak Value Amplification
• A general scheme of differential imaging employing weak measurement
• Robustness of optic-fiber-based weak value amplification against amplitude-type noise
• Quality analysis for precision metrology based on joint weak measurements without discarding readout data
• A potential third-generation gravitational-wave detector based on autocorrelative weak-value amplification