Purification Hamiltonians
Quantum Physics
2019-03-15 v1
Abstract
We study the Jaynes-Cummings interaction when initial mixed states, for the atom or the field, are considered. The evolved mixed field density matrix is purified to a wavefunction that describes the interaction between a quantised field and an artificial four-level atom. This allows us to use the Araki-Lieb inequality to calculate the field entropy from the atomic entropy. We then generate {\it artificial} Hamiltonians that reproduce the field entropy dynamics. We finally show that more realistic Hamiltonians may be considered by using two entangled two-level atoms.
Cite
@article{arxiv.1903.05670,
title = {Purification Hamiltonians},
author = {Jorge A. Anaya-Contreras and Arturo Zúñiga-Segundo and Héctor M. Moya-Cessa},
journal= {arXiv preprint arXiv:1903.05670},
year = {2019}
}
Comments
10 pages, 3 figures