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

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Title Weak values, quantum trajectories, and the cavity-QED experiment on wave-particle correlation
Author Wiseman, Howard Mark
Journal Name Physical Review A: Atomic, Molecular and Optical Physics
Year Published 2002
Place of publication USA
Publisher American Physical Society
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 (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.
Peer Reviewed Yes
Published Yes
Publisher URI http://prola.aps.org/browse/PRA
Alternative URI http://dx.doi.org/10.1103/PhysRevA.65.032111
Copyright Statement Copyright 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.
Volume 65
Page from 032111.1
Page to 032111.6
ISSN 1050-2947
Date Accessioned 2003-04-11
Language en_AU
Research Centre Centre for Quantum Dynamics
Faculty Faculty of Science
Subject PRE2009-Theoretical Physics
URI http://hdl.handle.net/10072/6980
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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