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A simple model of quantum trajectories

Todd A. Brun (Institute for Advanced Study)

Am. J. Phys. 70, 719-737 (2002).
42 pages RevTeX including four figures in encapsulated postscript. Submitted to special issue of American Journal of Physics
License: not stated (all rights reserved)

Abstract: Quantum trajectory theory, developed largely in the quantum optics community to describe open quantum systems subjected to continuous monitoring, has applications in many areas of quantum physics. In this paper I present a simple model, using two-level quantum systems (q-bits), to illustrate the essential physics of quantum trajectories and how different monitoring schemes correspond to different ``unravelings'' of a mixed state master equation. I also comment briefly on the relationship of the theory to the Consistent Histories formalism and to spontaneous collapse models.

Submitted to arXiv on 29 Aug. 2001