English

Scattering theory of the bifurcation in quantum measurement

Quantum Physics 2019-10-02 v3

Abstract

We model quantum measurement of a two-level system μ\mu. Previous obstacles for understanding the measurement process are removed by basing the analysis of the interaction between μ\mu and the measurement device on quantum field theory. We show how microscopic details of the measurement device can influence the transition to a final state. A statistical analysis of the ensemble of initial states reveals that those initial states that are efficient in leading to a transition to a final state, result in either of the expected eigenstates for μ\mu, with probabilities that agree with the Born rule.

Keywords

Cite

@article{arxiv.1901.01035,
  title  = {Scattering theory of the bifurcation in quantum measurement},
  author = {Karl-Erik Eriksson and Kristian Lindgren},
  journal= {arXiv preprint arXiv:1901.01035},
  year   = {2019}
}

Comments

Change of title and minor revisions of main text and supplemental material; main text 8 pages, 2 figures; supplemental material 9 pages, 2 figures