Quasiprobabilistic Interpretation of Weak measurements in Mesoscopic Junctions

Details Quasiprobabilistic Interpretation of Weak measurements in Mesoscopic Junctions Quasiprobabilistic Interpretation of Weak measurements in Mesoscopic Junctions

2010-02-26

arxiv.org/abs/1002.4984v2

Phys. Rev. Lett. 105, 106803 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, published version

Scientific paper

10.1103/PhysRevLett.105.106803

The impossibility of measuring noncommuting quantum mechanical observables is one of the most fascinating consequences of the quantum mechanical postulates. Hence, to date the investigation of quantum measurement and projection is a fundamentally interesting topic. We propose to test the concept of weak measurement of noncommuting observables in mesoscopic transport experiments, using a quasiprobablistic description. We derive an inequality for current correlators, which is satisfied by every classical probability but violated by high-frequency fourth-order cumulants in the quantum regime for experimentally feasible parameters.

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