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arXiv · 0710.3304

Measured quantum probability distribution functions for Brownian motion

G. W. Ford·R. F. O'Connell
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Abstract

The quantum analog of the joint probability distributions describing a classical stochastic process is introduced. A prescription is given for constructing the quantum distribution associated with a sequence of measurements. For the case of quantum Brownian motion this prescription is illustrated with a number of explicit examples. In particular it is shown how the prescription can be extended in the form of a general formula for the Wigner function of a Brownian particle entangled with a heat bath.

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G. W. Ford, R. F. O'Connell. 2007-10-17. Measured quantum probability distribution functions for Brownian motion. https://doi.org/10.1103/physreva.76.042122

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