Measured quantum probability distribution functions for Brownian motion
Quantum Physics
2009-11-13 v1
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.
Cite
@article{arxiv.0710.3304,
title = {Measured quantum probability distribution functions for Brownian motion},
author = {G. W. Ford and R. F. O'Connell},
journal= {arXiv preprint arXiv:0710.3304},
year = {2009}
}
Comments
Phys. Rev. A, in press