Bloch sphere representation of three-vertex geometric phases
Quantum Physics
2012-04-18 v1
Abstract
The properties of the geometric phases between three quantum states are investigated in a high-dimensional Hilbert space using the Majorana representation of symmetric quantum states. We found that the geometric phases between the three quantum states in an N-state quantum system can be represented by N-1 spherical triangles on the Bloch sphere. The parameter dependence of the geometric phase was analyzed based on this picture. We found that the geometric phase exhibits rich nonlinear behavior in a high-dimensional Hilbert space.
Keywords
Cite
@article{arxiv.1107.5447,
title = {Bloch sphere representation of three-vertex geometric phases},
author = {Shuhei Tamate and Kazuhisa Ogawa and Masao Kitano},
journal= {arXiv preprint arXiv:1107.5447},
year = {2012}
}
Comments
5 pages, 4 figures