Measured quantum probability distribution functions for Brownian motion

Details Measured quantum probability distribution functions for Brownian motion Measured quantum probability distribution functions for Brownian motion

2007-10-17

arxiv.org/abs/0710.3304v1

Physical Review A, 042122 (2007)

Physics

Quantum Physics

Phys. Rev. A, in press

Scientific paper

10.1103/PhysRevA.76.042122

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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