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arXiv · 1106.4607

Feasible optical weak measurements of complementary observables via a single Hamiltonian

Shengjun Wu·Marek Żukowski
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Abstract

A general formalism for joint weak measurements of a pair of complementary observables is given. The standard process of optical three-wave mixing in a nonlinear crystal (such as in parametric down-conversion) is suitable for such tasks. To obtain the weak value of a variable $A$ one performs weak measurements twice, with different initial states of the "meter" field. This seems to be a drawback, but as a compensation we get for free the weak value of a complementary variable $B$. The scheme is tunable and versatile: one has access to a continuous set of possible weak measurements of pair of observables. The scheme increases signal-to-noise ratio with respect to the case without postselection.

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Shengjun Wu, Marek Żukowski. 2012-02-24. Feasible optical weak measurements of complementary observables via a single Hamiltonian. https://doi.org/10.1103/physrevlett.108.080403

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