Dynamics of a quantum measurement

Details Dynamics of a quantum measurement Dynamics of a quantum measurement

2004-12-06

arxiv.org/abs/quant-ph/0412045v1

Physics

Quantum Physics

18 pages, no figures; conference talk of R. Balian

Scientific paper

10.1016/j.physe.2005.05.023

We work out an exactly solvable hamiltonian model which retains all the features of realistic quantum measurements. In order to use an interaction process involving a system and an apparatus as a measurement, it is necessary that the apparatus is macroscopic. This implies to treat it with quantum statistical mechanics. The relevant time scales of the process are exhibited. It begins with a very rapid disappearance of the off-diagonal blocks of the overall density matrix of the tested system and the apparatus. Possible recurrences are hindered by the large size of the latter. On a much larger time scale the apparatus registers the outcome: Correlations are established between the final values of the pointer and the initial diagonal blocks of the density matrix of the tested system. We thus derive Born's rule and von Neumann's reduction of the state from the dynamical process.

Affiliated with

Also associated with

No associations

Rating

Dynamics of a quantum measurement does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamics of a quantum measurement, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of a quantum measurement will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-41396