Geometric phase of a two-level system in a dissipative environment
Quantum Physics
2009-05-09 v2
Abstract
The geometric (Berry) phase of a two-level system in a dissipative environment is analyzed by using the second-quantized formulation, which provides a unified and gauge-invariant treatment of adiabatic and nonadiabatic phases and is thus applicable to a quantitative analysis of transitional regions away from ideal adiabaticity. In view of the recent experimental observation of the Berry phase in a superconducting qubit, we illustrate our formulation for a concrete adiabatic case in the Ohmic dissipation. The correction to the total phase together with the geometry-dependent dephasing time is given in a transparent way. The behavior of the geometric phase away from ideal adiabaticity is also analyzed in some detail.
Cite
@article{arxiv.0805.0645,
title = {Geometric phase of a two-level system in a dissipative environment},
author = {Kazuo Fujikawa and Ming-Guang Hu},
journal= {arXiv preprint arXiv:0805.0645},
year = {2009}
}
Comments
7 pages, 3 figures