The role of infrared divergence for decoherence
Mathematical Physics
2015-06-26 v3 math.MP
Quantum Physics
Abstract
Continuous and discrete superselection rules induced by the interaction with the environment are investigated for a class of exactly soluble Hamiltonian models. The environment is given by a Boson field. Stable superselection sectors emerge if and only if the low frequences dominate and the ground state of the Boson field disappears due to infrared divergence. The models allow uniform estimates of all transition matrix elements between different superselection sectors.
Keywords
Cite
@article{arxiv.math-ph/9911015,
title = {The role of infrared divergence for decoherence},
author = {Joachim Kupsch},
journal= {arXiv preprint arXiv:math-ph/9911015},
year = {2015}
}
Comments
11 pages, extended and simplified proof