Measured quantum probability distribution functions for Brownian motion
arXiv:0710.3304 · doi:10.1103/PhysRevA.76.042122
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.
Phys. Rev. A, in press