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Measurement of Energy Eigenstates by a Slow Detector

Ivar MartinTheoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USAW. H. ZurekTheoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
2007en
ABI

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We propose a method for a weak continuous measurement of the energy eigenstates of a fast quantum system by means of a slow detector. Such a detector is sensitive only to slowly changing variables, e.g., energy, while its backaction can be limited solely to decoherence of the eigenstate superpositions. We apply this scheme to the problem of detection of quantum jumps between energy eigenstates in a harmonic oscillator.

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