Weak values in nonideal spin measurements: An exact treatment beyond the asymptotic regime

A. K. Pan and A. Matzkin
Phys. Rev. A 85, 022122 – Published 24 February 2012; Erratum Phys. Rev. A 87, 049901 (2013)

Abstract

We consider weak measurements (WMs) of a spin observable in quantum mechanics beyond the usual asymptotic regime. This is done by obtaining the exact time-dependent wave functions of the measuring apparatus for general nonideal measurements. Ideal strong measurements and the usual WM regime are obtained as the two extreme limiting cases of our exact treatment. We show that in the intermediate regime nonideal measurements lead to “semiweak” eccentric values that differ from the usual weak values. We further show that even in the WM regime the exact treatment leads to a meter behavior that can be markedly distinct from the one predicted by the usual WM formalism. We give several illustrations and discuss an application to the distinction of different realizations of the same density matrix.

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  • Received 28 September 2011

DOI:https://doi.org/10.1103/PhysRevA.85.022122

©2012 American Physical Society

Erratum

Authors & Affiliations

A. K. Pan and A. Matzkin

  • Laboratoire de Physique Théorique et Modélisation, CNRS Unité 8089, Université de Cergy-Pontoise, F-95302 Cergy-Pontoise Cedex, France

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Issue

Vol. 85, Iss. 2 — February 2012

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