Optimal Monitoring of Position in Nonlinear Quantum Systems

Details Optimal Monitoring of Position in Nonlinear Quantum Systems Optimal Monitoring of Position in Nonlinear Quantum Systems

1997-09-02

arxiv.org/abs/quant-ph/9709005v1

Phys.Rev.Lett. 70 (1993) 2825-2828

Physics

Quantum Physics

4 pages, REVTeX 3.0, 4 PostScript figures

Scientific paper

10.1103/PhysRevLett.70.2825

We discuss a model of repeated measurements of position in a quantum system which is monitored for a finite amount of time with a finite instrumental error. In this framework we recover the optimum monitoring of a harmonic oscillator proposed in the case of an instantaneous collapse of the wavefunction into an infinite-accuracy measurement result. We also establish numerically the existence of an optimal measurement strategy in the case of a nonlinear system. This optimal strategy is completely defined by the spectral properties of the nonlinear system.

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