Topological structures of adiabatic phase for multi-level quantum systems
Quantum Physics
2009-11-13 v4
Abstract
The topological properties of adiabatic gauge fields for multi-level (three-level in particular) quantum systems are studied in detail. Similar to the result that the adiabatic gauge field for SU(2) systems (e.g. two-level quantum system or angular momentum systems, etc) have a monopole structure, the curvature two-forms of the adiabatic holonomies for SU(3) three-level and SU(3) eight-level quantum systems are shown to have monopole-like (for all levels) or instanton-like (for the degenerate levels) structures.
Cite
@article{arxiv.quant-ph/0607130,
title = {Topological structures of adiabatic phase for multi-level quantum systems},
author = {Zheng-Xin Liu and Xiao-Ting Zhou and Xin Liu and Xiong-Jun Liu and Jing-Ling Chen},
journal= {arXiv preprint arXiv:quant-ph/0607130},
year = {2009}
}
Comments
15 pages, no figures. Accepted by J.Phys.A