Berry's Phase in the Presence of a Dissipative Medium
Quantum Physics
2009-11-06 v3
Abstract
We consider the spin 1/2 model coupled to a slowly varying magnetic field in the presence of a weak damping represented by a Lindblad-form operators. We show that Berry's geometrical phase remains unaltered by the two dissipation mechanism considered. Dissipation effects are twofold: a shrinking in the modulus of the Bloch's vector, which characterizes coherence loss and a time dependent (dissipation related) precession angle. We show that the line broadening of the Fourier transformation of the components of magnetization is only due to the presence of dissipation.
Cite
@article{arxiv.quant-ph/0003049,
title = {Berry's Phase in the Presence of a Dissipative Medium},
author = {K. M. Fonseca Romero and A. C. Aguiar Pinto and M. T. Thomaz},
journal= {arXiv preprint arXiv:quant-ph/0003049},
year = {2009}
}
Comments
19 pages, 2 figures