Quantum approach to coupling classical and quantum dynamics

Lajos Diósi, Nicolas Gisin, and Walter T. Strunz
Phys. Rev. A 61, 022108 – Published 10 January 2000
PDFExport Citation

Abstract

We present a consistent framework of coupled classical and quantum dynamics. Our result allows us to overcome severe limitations of previous phenomenological approaches, such as evolutions that do not preserve the positivity of quantum states or that allow one to activate quantum nonlocality for superluminal signaling. A “hybrid” quantum-classical density is introduced, and its evolution equation derived. The implications and applications of our result are numerous: it incorporates the back-reaction of quantum on classical variables, and it resolves fundamental problems encountered in standard mean-field theories, and remarkably, also in the quantum measurement process; i.e., the most controversial example of quantum-classical interaction is consistently described within our approach, leading to a theory of dynamical collapse.

  • Received 23 February 1999

DOI:https://doi.org/10.1103/PhysRevA.61.022108

©2000 American Physical Society

Authors & Affiliations

Lajos Diósi1,2, Nicolas Gisin3, and Walter T. Strunz4

  • 1Institute for Advanced Study, Wallotstraße 19, D-14193 Berlin, Germany
  • 2Research Institute for Particle and Nuclear Physics, P.O.B. 49, 1525 Budapest 114, Hungary
  • 3Group of Applied Physics, University of Geneva, 1211 Geneva 4, Switzerland
  • 4Fachbereich Physik, Universität GH Essen, 45117 Essen, Germany

References (Subscription Required)

Click to Expand
Issue

Vol. 61, Iss. 2 — February 2000

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×