Full counting statistics of weak measurement

Details Full counting statistics of weak measurement Full counting statistics of weak measurement

2011-09-19

arxiv.org/abs/1109.4183v3

Phys. Rev. A 85, 032106 (2012)

Physics

Quantum Physics

Expanded version: 9 pages, 3 Figs. Now the validity of the expansion for the moments is analysed. Introduced a one-parameter f

Scientific paper

10.1103/PhysRevA.85.032106

A weak measurement consists in coupling a system to a probe in such a way that constructive interference generates a large output. So far, only the average output of the probe and its variance were studied. Here, the characteristic function for the moments of the output is provided. The outputs considered are not limited to the eigenstates of the pointer or of its conjugate variable, so that the results apply to any observable $\Hat{o}$ of the probe. Furthermore, a family of well behaved complex quantities, the normal weak values, is introduced, in terms of which the statistics of the weak measurement can be described. It is shown that, within a good approximation, the whole statistics of weak measurement is described by a complex parameter, the weak value, and a real one.

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