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  • Weak values, quantum trajectories, and the cavity-QED experiment on wave-particle correlation

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    Author(s)
    Wiseman, HM
    Griffith University Author(s)
    Wiseman, Howard M.
    Year published
    2002
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    Abstract
    Weak values as introduced by Aharonov, Albert, and Vaidman (AAV) are ensemble-average values for the results of weak measurements. They are interesting when the ensemble is preselected on a particular initial state and postselected on a particular final measurement result. It is shown that weak values arise naturally in quantum optics, as weak measurements occur whenever an open system is monitored (as by a photodetector). The quantum-trajectory theory is used to derive a generalization of AAV's formula to include (a) mixed initial conditions, (b) nonunitary evolution, (c) a generalized (nonprojective) final measurement, and ...
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    Weak values as introduced by Aharonov, Albert, and Vaidman (AAV) are ensemble-average values for the results of weak measurements. They are interesting when the ensemble is preselected on a particular initial state and postselected on a particular final measurement result. It is shown that weak values arise naturally in quantum optics, as weak measurements occur whenever an open system is monitored (as by a photodetector). The quantum-trajectory theory is used to derive a generalization of AAV's formula to include (a) mixed initial conditions, (b) nonunitary evolution, (c) a generalized (nonprojective) final measurement, and (d) a non-back-action-evading weak measurement. This theory is applied to the recent cavity-QED experiment demonstrating wave particle duality [G. T. Foster, L. A. Orozco, H. M. Castro-Beltran, and H. J. Carmichael, Phys. Rev. Lett. 85, 3149 (2000)]. It is shown that the "fractional-order" correlation function measured in that experiment can be recast as a weak value in a form as simple as that introduced by AAV.
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    Journal Title
    Physical Review A: Atomic, Molecular and Optical Physics
    Volume
    65
    Publisher URI
    https://journals.aps.org/pra/abstract/10.1103/PhysRevA.65.032111
    DOI
    https://doi.org/10.1103/PhysRevA.65.032111
    Copyright Statement
    © 2002 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
    Subject
    Mathematical sciences
    Physical sciences
    Chemical sciences
    Publication URI
    http://hdl.handle.net/10072/6980
    Collection
    • Journal articles

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