Measurement-induced decoherence and Gaussian smoothing of the Wigner distribution function

Details Measurement-induced decoherence and Gaussian smoothing of the Wigner distribution function Measurement-induced decoherence and Gaussian smoothing of the Wigner distribution function

2003-05-02

arxiv.org/abs/quant-ph/0305011v1

Physics

Quantum Physics

Accepted in Annals of Physics

Scientific paper

10.1016/S0003-4916(03)00116-7

We study the problem of measurement-induced decoherence using the phase-space approach employing the Gaussian-smoothed Wigner distribution function. Our investigation is based on the notion that measurement-induced decoherence is represented by the transition from the Wigner distribution to the Gaussian-smoothed Wigner distribution with the widths of the smoothing function identified as measurement errors. We also compare the smoothed Wigner distribution with the corresponding distribution resulting from the classical analysis. The distributions we computed are the phase-space distributions for simple one-dimensional dynamical systems such as a particle in a square-well potential and a particle moving under the influence of a step potential, and the time-frequency distributions for high-harmonic radiation emitted from an atom irradiated by short, intense laser pulses.

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