Engineering Quantum States, Nonlinear Measurements, and Anomalous Diffusion by Imaging

Details Engineering Quantum States, Nonlinear Measurements, and Anomalous Diffusion by Imaging Engineering Quantum States, Nonlinear Measurements, and Anomalous Diffusion by Imaging

2010-08-24

arxiv.org/abs/1008.4121v1

New J. Phys. 13, 013016 (2011)

Physics

Quantum Physics

revtex4-1, 17 pages, 7 eps figures

Scientific paper

We show that well-separated quantum superposition states, measurements of strongly nonlinear observables, and quantum dynamics driven by anomalous diffusion can all be achieved for single atoms or molecules by imaging spontaneous photons that they emit via resonance florescence. To generate anomalous diffusion we introduce continuous measurements driven by L\'evy processes, and prove a number of results regarding their properties. In particular we present strong evidence that the only stable L\'evy density that can realize a strictly continuous measurement is the Gaussian.

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