Eur. Phys. J. D 30, 417-423 (2004)
https://doi.org/10.1140/epjd/e2004-00092-4

Quantum dynamics and decoherence in generalized Coleman-Hepp model and boson detector model

Graduate School of Humanities and Sciences and Department of Physics, Faculty of Science, Ochanomizu University, Tokyo 112-8610, Japan

Corresponding authors: ^a sachiko@phys.ocha.ac.jp - ^b shibata@phys.ocha.ac.jp

Received: 17 December 2003
Revised: 13 May 2004
Published online: 10 August 2004

Abstract

Decoherence process in quantum mechanical entangled spin states is formulated and solved on the basis of a generalized Coleman-Hepp model and a boson detector model. These models are exactly solved to give reduced density matrices and the von Neumann entropy. Detailed studies are done on environmental fluctuations which cause decoherence in the correlated entangled states: a single detector model and two detectors model are examined with the use of analytic solutions and numerical evaluations.