title: Feasible optical weak measurements of complementary observables via a single Hamiltonian.
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 a pair of observables. The scheme increases signal-to-noise ratio with respect to the case without postselection.
authors.affiliation: Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.
authors.forename: Shengjun
authors.initials: S
authors.lastname: Wu
authors.forename: Marek
authors.initials: M
authors.lastname: Zukowski